Vibration analysis method, program product and electronic equipment for reactor vibration isolation system

Abstract

The present application provides a vibration analysis method, program product and electronic device for a reactor vibration isolation system, the method comprising: obtaining a vibration signal of a vibration isolation bracket in a working state; extracting vibration characteristics from the vibration signal using time domain analysis and frequency domain analysis; determining the correlation between the structural characteristics of the vibration isolation bracket and the vibration characteristics based on the vibration characteristics to obtain a first correlation; establishing a finite element model of the vibration isolation bracket based on finite element analysis and the first correlation; determining the natural frequency of the vibration isolation bracket based on modal analysis and the finite element model, determining the correlation between the natural frequency and the external excitation frequency to obtain a second correlation; simulating the influence of different structural characteristics on the vibration propagation path of the vibration isolation bracket based on the first correlation, the second correlation and the finite element model to obtain a damping effect; optimizing the vibration isolation bracket based on the damping effect. The present application solves the problem in the prior art that it is difficult to simultaneously ensure the damping effect and vibration isolation performance of the vibration isolation bracket.

Description

Technical Field

[0001] The present application relates to the field of information technology, and in particular to a vibration analysis method for a reactor vibration isolation system, a computer-readable storage medium, a computer program product, and an electronic device. Background Art

[0002] In the power grid of high-precision equipment, large precision instruments are installed on vibration isolation brackets. However, in the actual operation process, the measurement results of the instruments will fluctuate abnormally. The problem may be in the vibration isolation bracket. Although the vibration isolation bracket uses special materials and damping design, when facing the complex vibration frequencies generated by other equipment in the workshop, the bracket itself resonates, which amplifies the vibration of certain frequencies, causing the precision instrument to fail to work properly. By analyzing the measurement data, it is found that the existing damping design has a poor vibration suppression effect on certain frequencies, resulting in the occurrence of resonance. Therefore, it is necessary to optimize the damping characteristics of the vibration isolation bracket to adapt to the complex vibration environment in the workshop. However, during the optimization process, it was found that improving the damping effect often reduces the vibration isolation performance of the bracket, and it seems difficult to have both. At the same time, due to the high sensitivity of precision instruments to vibration, even small vibrations may affect the measurement results, which puts extremely high demands on the design of vibration isolation brackets. It is undoubtedly a technical problem to minimize vibration transmission while ensuring sufficient damping. In addition, the vibration frequencies generated by different equipment in the workshop are different, and some frequencies have been ignored before and have not been fully isolated. How to design a vibration isolation bracket that can cope with vibrations of various frequencies within a limited space is also a problem that needs to be solved urgently. Summary of the invention

[0003] The main purpose of the present application is to provide a vibration analysis method, a computer-readable storage medium, a computer program product and an electronic device for a reactor vibration isolation system, so as to at least solve the problem in the prior art that it is difficult to simultaneously ensure the damping effect and vibration isolation performance of the vibration isolation bracket.

[0004] In order to achieve the above-mentioned purpose, according to one aspect of the present application, a vibration analysis method for a reactor vibration isolation system is provided, wherein the reactor is installed on a vibration isolation bracket, and the method comprises: obtaining a vibration signal of the vibration isolation bracket in a working state; extracting vibration characteristics from the vibration signal by using time domain analysis and frequency domain analysis; determining the correlation between the structural characteristics of the vibration isolation bracket and the vibration characteristics according to the vibration characteristics, and obtaining a first correlation; establishing a finite element model of the vibration isolation bracket according to the first correlation by using finite element analysis; determining the natural frequency of the vibration isolation bracket according to the finite element model by using modal analysis, and determining the correlation between the natural frequency and the external excitation frequency, and obtaining a second correlation; simulating the influence of different structural characteristics on the vibration propagation path of the vibration isolation bracket according to the first correlation, the second correlation and the finite element model, and obtaining a corresponding damping effect; optimizing the vibration isolation bracket according to the damping effect, and obtaining a target vibration isolation bracket.

[0005] Optionally, a vibration sensor is installed on the vibration isolation bracket to obtain a vibration signal of the vibration isolation bracket in a working state, including: using the vibration sensor to obtain an initial vibration signal of the vibration isolation bracket; performing denoising and filtering operations on the initial vibration signal to obtain the vibration signal.

[0006] Optionally, time domain analysis and frequency domain analysis are used to extract vibration characteristics from the vibration signal, including: converting the vibration signal according to a preset sampling frequency and a preset sampling time to obtain time domain vibration data; using a digital filtering algorithm to perform preprocessing operations on the time domain vibration data to obtain target time domain vibration data; using a fast Fourier transform algorithm to convert the target time domain vibration data to the frequency domain to obtain a frequency spectrum diagram characterizing the relationship between the frequency and amplitude of the vibration signal; and determining the frequency distribution characteristics of the vibration signal based on the frequency spectrum diagram.

[0007] Optionally, based on the vibration characteristics, determining the correlation between the structural characteristics of the vibration isolation bracket and the vibration characteristics to obtain a first correlation includes: using correlation analysis to calculate, based on the frequency distribution characteristics, a correlation coefficient matrix between the amplitudes corresponding to different frequencies and the structural parameters of the vibration isolation bracket to obtain the first correlation.

[0008] Optionally, modal analysis is used to determine the natural frequency of the vibration isolation bracket based on the finite element model, including: using experimental modal analysis to perform different external excitations on the finite element model to determine the frequency response function of the finite element model under different external excitation frequencies; using vibration theory to perform curve fitting on the frequency response function to obtain the natural frequency.

[0009] Optionally, a finite element model of the vibration isolation bracket is established based on the first correlation using finite element analysis, including: determining key parameters of the vibration isolation bracket based on the first correlation, the key parameters including: frequency range, vibration mode order and geometric dimensions; determining a global grid size of the vibration isolation bracket based on the geometric dimensions using the finite element analysis; determining material properties of the vibration isolation bracket, the material properties including elastic modulus, Poisson's ratio and density attribute parameters; determining boundary conditions of the vibration isolation bracket based on actual working conditions of the vibration isolation bracket; and establishing the finite element model based on the key parameters, the global grid size, the material properties and the boundary conditions.

[0010] Optionally, the method further includes: performing vibration tests on the target vibration isolation bracket under different vibration excitations to obtain corresponding vibration response data; determining a damping ratio of the target vibration isolation bracket based on the vibration response data; and correcting the target vibration isolation bracket based on the damping ratio.

[0011] According to another aspect of the present application, there is provided a computer-readable storage medium including a stored program, wherein when the program is executed, the device where the computer-readable storage medium is located is controlled to execute any one of the vibration analysis methods for the reactor vibration isolation system.

[0012] According to another aspect of the present application, a computer program product is provided, comprising computer instructions, wherein when the computer instructions are executed by a processor, any one of the vibration analysis methods for the reactor vibration isolation system is implemented.

[0013] According to another aspect of the present application, an electronic device is provided, comprising: one or more processors, a memory, and one or more programs, wherein the one or more programs are stored in the memory and are configured to be executed by the one or more processors, and the one or more programs include a method for executing any one of the vibration analysis methods of the reactor vibration isolation system.

[0014] By applying the technical solution of the present application, the vibration signal of the vibration isolation bracket in the working state is first obtained, and the vibration characteristics are extracted from the vibration signal by using time domain analysis and frequency domain analysis. Then, based on the vibration characteristics, the relationship between the structural characteristics and the vibration characteristics of the vibration isolation bracket is determined to obtain a first correlation. According to the finite element analysis and the first correlation, a finite element model of the vibration isolation bracket is established. Then, according to the modal analysis and the finite element model, the natural frequency of the vibration isolation bracket is determined, and the correlation between the natural frequency and the external excitation frequency is determined to obtain a second correlation. Then, according to the first correlation, the second correlation and the finite element model, the influence of different structural characteristics on the vibration propagation path of the vibration isolation bracket is simulated to obtain the corresponding damping effect. Finally, according to the damping effect, the vibration isolation bracket is optimized to obtain the target vibration isolation bracket. Compared with the problem in the prior art that it is difficult to simultaneously ensure the damping effect and vibration isolation performance of the vibration isolation bracket, the present application determines the relationship between the structural characteristics and the vibration characteristics of the vibration isolation bracket to obtain a first correlation, and uses finite element analysis to determine the relationship between the natural frequency of the vibration isolation bracket and the external excitation frequency to obtain a second correlation, and then simulates the influence of different structural characteristics on the vibration propagation path of the vibration isolation bracket according to the first correlation, the second correlation and the finite element model to obtain the corresponding damping effect. That is, the present application takes into account the structure, vibration and external excitation factors of the vibration isolation bracket to simulate the vibration isolation bracket to obtain the damping effect, thereby ensuring that the obtained damping effect is relatively accurate, thereby ensuring that the target vibration isolation bracket obtained by optimizing the vibration isolation bracket according to the damping effect has better performance, and ensuring that the damping effect and vibration isolation performance of the target vibration isolation bracket are better. BRIEF DESCRIPTION OF THE DRAWINGS

[0015] The drawings constituting part of the present application are used to provide a further understanding of the present application. The exemplary embodiments and descriptions of the present application are used to explain the present application and do not constitute an improper limitation on the present application. In the drawings:

[0016] Figure 1 A hardware structure block diagram of a mobile terminal for executing a vibration analysis method for a reactor vibration isolation system provided in an embodiment of the present application is shown;

[0017] Figure 2 A schematic flow chart of a vibration analysis method for a reactor vibration isolation system provided according to an embodiment of the present application is shown.

[0018] The above drawings include the following reference numerals:

[0019] 102, processor; 104, memory; 106, transmission device; 108, input and output devices. DETAILED DESCRIPTION

[0020] It should be noted that, in the absence of conflict, the embodiments and features in the embodiments of the present application can be combined with each other. The present application will be described in detail below with reference to the accompanying drawings and in combination with the embodiments.

[0021] In order to enable those skilled in the art to better understand the solution of the present application, the technical solution in the embodiments of the present application will be clearly and completely described below in conjunction with the drawings in the embodiments of the present application. Obviously, the described embodiments are only part of the embodiments of the present application, not all of the embodiments. Based on the embodiments in the present application, all other embodiments obtained by ordinary technicians in this field without creative work should fall within the scope of protection of the present application.

[0022] It should be noted that the terms "first", "second", etc. in the specification and claims of the present application and the above-mentioned drawings are used to distinguish similar objects, and are not necessarily used to describe a specific order or sequential order. It should be understood that the data used in this way can be interchanged where appropriate, so that the embodiments of the present application described here. In addition, the terms "including" and "having" and any of their variations are intended to cover non-exclusive inclusions, for example, a process, method, system, product or device comprising a series of steps or units is not necessarily limited to those steps or units clearly listed, but may include other steps or units that are not clearly listed or inherent to these processes, methods, products or devices.

[0023] As introduced in the background technology, it is difficult to ensure both the damping effect and the vibration isolation performance of the vibration isolation bracket in the prior art. To solve the above problems, the embodiments of the present application provide a vibration analysis method, a computer-readable storage medium, a computer program product and an electronic device for a reactor vibration isolation system.

[0024] The technical solutions in the embodiments of the present invention will be described clearly and completely below in conjunction with the accompanying drawings in the embodiments of the present invention.

[0025] The method embodiments provided in the embodiments of the present application can be executed in a mobile terminal, a computer terminal or a similar computing device. Taking running on a mobile terminal as an example, Figure 1 1 is a hardware structure block diagram of a mobile terminal of a vibration analysis method for a reactor vibration isolation system according to an embodiment of the present invention. Figure 1 As shown, the mobile terminal may include one or more ( Figure 1 Only one is shown in the figure) a processor 102 (the processor 102 may include but is not limited to a processing device such as a microprocessor MCU or a programmable logic device FPGA) and a memory 104 for storing data, wherein the mobile terminal may also include a transmission device 106 and an input / output device 108 for communication functions. It can be understood by those skilled in the art that Figure 1The structure shown is for illustration only and does not limit the structure of the mobile terminal. Figure 1 More or fewer components as shown, or with Figure 1 Different configurations are shown.

[0026] The memory 104 can be used to store computer programs, for example, software programs and modules of application software, such as the computer program corresponding to the vibration analysis method of the reactor vibration isolation system in the embodiment of the present invention. The processor 102 executes various functional applications and data processing by running the computer program stored in the memory 104, that is, the above method is implemented. The memory 104 may include a high-speed random access memory, and may also include a non-volatile memory, such as one or more magnetic storage devices, flash memory, or other non-volatile solid-state memory. In some examples, the memory 104 may further include a memory remotely arranged relative to the processor 102, and these remote memories can be connected to the mobile terminal via a network. Examples of the above-mentioned network include but are not limited to the Internet, an intranet, a local area network, a mobile communication network, and a combination thereof. The transmission device 106 is used to receive or send data via a network. The above-mentioned specific network example may include a wireless network provided by a communication provider of the mobile terminal. In one example, the transmission device 106 includes a network adapter (Network Interface Controller, referred to as NIC), which can be connected to other network devices through a base station so as to communicate with the Internet. In one example, the transmission device 106 may be a radio frequency (RF) module, which is used to communicate with the Internet wirelessly.

[0027] In this embodiment, a vibration analysis method for a reactor vibration isolation system running on a mobile terminal, a computer terminal or a similar computing device is provided. It should be noted that the steps shown in the flowchart of the accompanying drawings can be executed in a computer system such as a set of computer executable instructions, and although a logical order is shown in the flowchart, in some cases, the steps shown or described can be executed in an order different from that shown here.

[0028] Figure 2 1 is a flow chart of a vibration analysis method for a reactor vibration isolation system according to an embodiment of the present application. Figure 2 As shown, the method comprises the following steps:

[0029] Step S201, obtaining a vibration signal of the vibration isolation bracket in a working state;

[0030] Step S202, extracting vibration features from the vibration signal by using time domain analysis and frequency domain analysis;

[0031] Step S203, determining the correlation between the structural characteristics of the vibration isolation bracket and the vibration characteristics according to the vibration characteristics, and obtaining a first correlation;

[0032] Step S204, using finite element analysis to establish a finite element model of the vibration isolation bracket according to the first correlation;

[0033] Step S205, using modal analysis, according to the finite element model, determining the natural frequency of the vibration isolation bracket, and determining the correlation between the natural frequency and the external excitation frequency, to obtain a second correlation;

[0034] Step S206, simulating the influence of the different structural features on the vibration propagation path of the vibration isolation bracket according to the first correlation, the second correlation and the finite element model, to obtain a corresponding damping effect;

[0035] Specifically, the above-mentioned structural features include damping materials and structural changes.

[0036] Step S207: optimizing the vibration isolation bracket according to the damping effect to obtain a target vibration isolation bracket.

[0037] Through the above embodiment, the vibration signal of the vibration isolation bracket in the working state is first obtained, and the vibration characteristics are extracted from the vibration signal by using time domain analysis and frequency domain analysis. Then, based on the vibration characteristics, the relationship between the structural characteristics and the vibration characteristics of the vibration isolation bracket is determined to obtain a first correlation, and based on the finite element analysis and the first correlation, a finite element model of the vibration isolation bracket is established, and then based on the modal analysis and the finite element model, the natural frequency of the vibration isolation bracket is determined, and the correlation between the natural frequency and the external excitation frequency is determined to obtain a second correlation, and then based on the first correlation, the second correlation and the finite element model, the influence of different structural characteristics on the vibration propagation path of the vibration isolation bracket is simulated to obtain the corresponding damping effect, and finally, based on the damping effect, the vibration isolation bracket is optimized to obtain a target vibration isolation bracket. Compared with the problem in the prior art that it is difficult to simultaneously ensure the damping effect and vibration isolation performance of the vibration isolation bracket, the present application determines the relationship between the structural characteristics and the vibration characteristics of the vibration isolation bracket to obtain a first correlation, and uses finite element analysis to determine the relationship between the natural frequency of the vibration isolation bracket and the external excitation frequency to obtain a second correlation, and then simulates the influence of different structural characteristics on the vibration propagation path of the vibration isolation bracket according to the first correlation, the second correlation and the finite element model to obtain the corresponding damping effect. That is, the present application takes into account the structure, vibration and external excitation factors of the vibration isolation bracket to simulate the vibration isolation bracket to obtain the damping effect, thereby ensuring that the obtained damping effect is relatively accurate, thereby ensuring that the target vibration isolation bracket obtained by optimizing the vibration isolation bracket according to the damping effect has better performance, and ensuring that the damping effect and vibration isolation performance of the target vibration isolation bracket are better.

[0038] In an optional solution, a vibration sensor is installed on the vibration isolation bracket to obtain the vibration signal of the vibration isolation bracket in a working state, including: using the vibration sensor to obtain the initial vibration signal of the vibration isolation bracket; performing denoising and filtering operations on the initial vibration signal to obtain the vibration signal. In this embodiment, the initial vibration signal of the vibration isolation bracket is obtained by using a vibration sensor, which ensures that the initial vibration signal is relatively accurate, and the initial vibration signal is subjected to denoising and filtering operations to ensure that the quality of the obtained vibration signal is good, so as to prepare for the subsequent analysis of the vibration signal.

[0039] In an exemplary embodiment, the vibration characteristics are extracted from the vibration signal using time domain analysis and frequency domain analysis, including: converting the vibration signal according to a preset sampling frequency and a preset sampling time to obtain time domain vibration data; using a digital filtering algorithm to preprocess the time domain vibration data to obtain target time domain vibration data; using a fast Fourier transform algorithm to convert the target time domain vibration data to the frequency domain to obtain a frequency spectrum representing the relationship between the frequency and amplitude of the vibration signal; and determining the frequency distribution characteristics of the vibration signal according to the frequency spectrum. In this embodiment, the vibration signal is converted according to the preset sampling frequency and the preset sampling time to obtain time domain vibration data, and the digital filtering algorithm is used to preprocess the time domain vibration data to obtain the target time domain vibration data, which ensures that the quality of the target time domain vibration data is good, and then using a fast Fourier transform algorithm to convert the target time domain vibration data to the frequency domain to obtain a frequency spectrum representing the relationship between the frequency and amplitude of the vibration signal, which ensures that the obtained frequency spectrum is relatively accurate, thereby ensuring that the frequency distribution characteristics determined according to the frequency spectrum are relatively accurate, and preparing for subsequent vibration analysis.

[0040] Specifically, the vibration analysis method of the reactor vibration isolation system of the present application can effectively solve the resonance phenomenon caused by the natural frequency of the vibration isolation bracket being close to the external excitation frequency in the industrial and mechanical fields. The present invention significantly improves the damping effect of the vibration isolation bracket on the vibration in the working state by comprehensively utilizing vibration sensor data acquisition, Fourier transform, correlation analysis, finite element simulation, material and structure optimization, etc., avoids the occurrence of resonance phenomenon, and thus improves the stability and service life of mechanical equipment. Through iterative optimization, the present invention not only ensures the practical applicability of the design, but also increases the adaptability and flexibility of the design to adapt to various working environments and requirements.

[0041] In actual application, technicians in this field can set the above preset sampling frequency and the above preset sampling time according to empirical values, or obtain them through multiple experiments. This application does not impose any specific restrictions on this.

[0042] Specifically, the vibration data of the vibration isolation bracket in the working state is obtained through the vibration sensor, and the vibration signal is collected to obtain the vibration characteristics of the current operation. Specifically, according to the vibration sensor installed on the vibration isolation bracket, the real-time vibration signal data of the vibration isolation bracket in the working state is obtained, and the vibration characteristic information of the vibration isolation bracket in the current operation is obtained; the collected vibration signal data is denoised and filtered by a preprocessing method to obtain a signal with a quality higher than the quality threshold and a reliability higher than the reliability threshold; through time domain analysis and frequency domain analysis signal processing, the key parameters reflecting the vibration characteristics of the vibration isolation bracket are extracted from the preprocessed vibration signal data, and the key parameters include amplitude, frequency and energy; according to the extracted vibration characteristic parameters, a vibration characteristic model of the vibration isolation bracket is established, and the vibration characteristic model of the vibration isolation bracket is trained by a support vector machine. Through training and optimization, the vibration state of the vibration isolation bracket is obtained; through the trained vibration characteristic model of the vibration isolation bracket, the collected real-time vibration signal data is analyzed and judged to obtain the abnormal vibration situation of the vibration isolation bracket, wherein the judgment is obtained by comparing the real-time vibration signal with the vibration characteristic model of the vibration isolation bracket under normal working conditions; through pattern recognition, the detected abnormal vibration signal is matched with the vibration characteristic pattern of the known fault type to determine the potential fault type of the vibration isolation bracket; according to the results of vibration characteristic analysis and fault diagnosis, the health status assessment report of the vibration isolation bracket is obtained to provide data support for subsequent maintenance decisions and ensure the reliable operation of the vibration isolation bracket and early warning of faults.

[0043] Specifically, in the time domain analysis, the statistical features of the vibration signal, such as mean, variance, root mean square value, peak value, kurtosis, skewness, etc., are extracted to reflect the energy size and distribution of the vibration signal. In the frequency domain analysis, the vibration signal is Fourier transformed to obtain a spectrum diagram, and the spectrum features, such as the spectrum center, band energy, sideband energy ratio, etc., are extracted to reflect the distribution of the vibration signal on different frequency components. According to the extracted vibration features, a suitable machine learning model such as support vector machine (SVM), random forest (RandomForest), neural network (NeuralNetwork), etc. is selected to establish a classifier for the health status of the vibration isolation bracket. Taking SVM as an example, the extracted multiple vibration features are used as input, the health status (normal or abnormal) is used as output, and the SVM model is trained using manually labeled normal state data and abnormal state data to obtain a vibration feature model of the vibration isolation bracket. During model training, the hyperparameters of SVM, such as the penalty coefficient C, the kernel function type, etc., are optimized using methods such as grid search to obtain the model with the best performance. The collected real-time vibration signal data is analyzed and judged by using the trained vibration characteristic model of the vibration isolation bracket, and the abnormal vibration of the vibration isolation bracket is discovered in time by comparing it with the vibration characteristic model under normal working conditions. When abnormal vibration of the vibration isolation bracket is detected, the abnormal vibration signal is matched with the vibration characteristic pattern in the established fault mode database to achieve a preliminary diagnosis of the potential fault type of the vibration isolation bracket. The fault mode database needs to be constructed and improved based on historical fault cases and expert experience, and contains typical vibration characteristic patterns of different fault types. Finally, the results of the vibration characteristic analysis and fault diagnosis are integrated to generate a health status assessment report of the vibration isolation bracket, which provides data support for subsequent maintenance decisions and ensures the reliable operation of the vibration isolation bracket and early warning of faults. For example, several highly sensitive piezoelectric accelerometers are installed on the vibration isolation bracket, and the sampling frequency is set to 10kHz. Data is collected every 10 minutes, and 2 seconds of vibration signals are collected each time. The collected raw vibration data was preprocessed. First, a 5Hz high-pass filter was used to remove low-frequency noise. Then, the wavelet transform was used to reduce the noise of the signal. The db4 wavelet basis function was selected, the decomposition layer number was 5, and the high-frequency coefficients were processed by the soft threshold method. Then, 20 time domain features and frequency domain features were extracted from the preprocessed signal, including mean, root mean square value, peak value, waveform factor, kurtosis, skewness, spectrum center, spectrum variance, etc. The extracted features were classified using the SVM model, and the optimal model parameters were selected through 5-fold cross validation. Finally, a radial basis kernel function SVM model was obtained, and the training accuracy reached 98%.When the newly collected vibration data is input into the model, the real-time judgment of the health status of the vibration isolation bracket can be realized. If it is judged to be an abnormal state, it is further matched with the typical mode in the fault mode database, and the similarity between the vibration signal under different fault modes and the current signal is calculated. The TOP3 modes with the largest similarity are taken as potential fault causes, and a fault diagnosis report is generated. For example, when it is detected that the abnormal vibration signal of the vibration isolation bracket is as high as 0.85 similar to the typical spectrum mode of the bearing outer ring fault, it can be preliminarily judged that the vibration isolation bracket may have a bearing outer ring damage fault, and further inspection and maintenance need to be arranged. In this way, early diagnosis and early warning of vibration isolation bracket faults can be achieved to avoid serious damage to equipment and unplanned downtime.

[0044] Specifically, the vibration signals of the vibration isolation bracket under different working conditions are obtained through the data acquisition card and the vibration sensor, and the analog signal is converted by using the preset sampling frequency and the preset sampling time to obtain the original time domain vibration data in the form of a digital signal; the digital filtering algorithm is used to pre-process the collected original vibration data to obtain a signal with a signal-to-noise ratio higher than the preset signal-to-noise ratio after removing high-frequency noise and low-frequency trend items; the fast Fourier transform (FFT) is used to convert the analog signal into a digital signal. Fourier Transform) algorithm is used to convert the pre-processed time domain vibration data into the frequency domain to obtain a spectrum diagram reflecting the relationship between the frequency and amplitude of the vibration signal; the energy distribution of the vibration signal in each frequency band is judged by the amplitude at different frequencies on the spectrum diagram, and the main frequency components of the vibration signal are determined according to the position of the characteristic peak on the spectrum diagram; the bandpass filtering method is used to extract the vibration signals of each frequency band for different frequency bands on the spectrum diagram, and the time domain waveforms and frequency domain characteristic parameters in different frequency bands are obtained. The frequency domain characteristic parameters include frequency band energy, frequency center and bandwidth; according to the analysis results of the vibration characteristic parameters in each frequency band, the vibration intensity and frequency characteristics of the vibration isolation bracket in different frequency bands are judged, and the main components causing the vibration are obtained, which provides a basis for fault diagnosis; when abnormal vibration is detected in a certain frequency band, the cause of the abnormal vibration is judged by the frequency position of the abnormal peak on the spectrum diagram, combined with the structural characteristics and speed parameters of the vibration isolation bracket, and corresponding processing suggestions are given.

[0045] Specifically, a data acquisition card and a vibration sensor are used to collect vibration signals of the vibration isolation bracket under different working conditions, and the analog signal is converted into a digital signal. The data is collected according to the preset sampling frequency and sampling time length to obtain the original time domain vibration data. The collected original vibration data is preprocessed, and the high-frequency noise and low-frequency trend items in the signal are removed by the digital filtering algorithm to improve the signal-to-noise ratio of the signal and prepare for the subsequent spectrum analysis. Commonly used digital filtering algorithms include IIR (Infinite Impulse Response) filtering and FIR (Finite Impulse Response) filtering. According to the actual situation, the appropriate filter type and order are selected to design a filter that meets the requirements. The fast Fourier transform (FFT) algorithm in the spectrum analysis software is used to convert the preprocessed time domain vibration data into the frequency domain to obtain the spectrum diagram of the vibration signal. The horizontal axis on the spectrum diagram represents the frequency, and the vertical axis represents the amplitude. According to the amplitude at different frequencies on the spectrum, the energy distribution of the vibration signal in each frequency band is judged, and the main frequency components of the vibration signal are determined by the frequency position and amplitude value of the characteristic peak with larger amplitude on the spectrum. For different frequency bands on the spectrum, the bandpass filtering method is used to extract the vibration signals of each frequency band. The design of the bandpass filter requires determining parameters such as the lower cutoff frequency, the upper cutoff frequency, the maximum attenuation of the passband and the minimum attenuation of the stopband. The filter coefficients are generated using the filter design tool, and then the obtained filter is used to filter the time domain signal. Through bandpass filtering, the time domain waveforms and frequency domain characteristic parameters on different frequency bands are obtained, such as frequency band energy, frequency center, bandwidth, etc. By analyzing the vibration characteristic parameters on each frequency band, the vibration intensity and frequency characteristics of the vibration isolation bracket on different frequency bands are judged, and it is determined whether the main component of the vibration is caused by low frequency, medium frequency or high frequency. According to the theoretical model of mechanical equipment, the characteristic frequencies corresponding to different fault types can be obtained. By analyzing the amplitudes at these characteristic frequencies on the spectrum, the type and severity of the fault can be preliminarily judged. Calculate the ratio of the amplitude at different frequencies to the amplitude at the rotation frequency to obtain some dimensionless fault indicators, such as imbalance index, misalignment index, etc. By comparing these fault indicators with the preset thresholds, the fault type and degree of the vibration isolation bracket can be automatically diagnosed. If the vibration characteristic parameters exceed the normal range in a certain frequency band, the cause of the abnormal vibration, such as imbalance, misalignment, looseness, etc., is analyzed by combining the frequency position of the abnormal peak on the spectrum diagram with the structural characteristics and rotation speed of the vibration isolation bracket. Corresponding processing suggestions are given to provide a basis for subsequent maintenance decisions. For example, the vibration signal of the vibration isolation bracket is converted into a digital signal using a PCB352A02 accelerometer and an NI data acquisition card. The sampling frequency is set to 5000Hz, the sampling time is 10 seconds, and each working condition is repeated 3 times to obtain 30 seconds of raw vibration data.The raw data was preprocessed, and a Butterworth low-pass digital filter with a cutoff frequency of 1000Hz and an order of 4 was designed. The filter coefficients were generated using the butter function in Matlab, and then the filtfilt function was used for zero-phase filtering to remove high-frequency noise. The FFT function was then used to perform a fast Fourier transform on the filtered data, and the spectrum resolution was set to 0.1Hz to obtain a spectrum diagram. By observing the peak values ​​of the spectrum diagram in the range of 0-1000Hz, it was found that there were obvious peaks at the frequency multiples of 150Hz, 300Hz, and 450Hz. It was preliminarily determined that the vibration signal was mainly composed of 150Hz and its frequency multiples. Based on this finding, three fourth-order Butterworth bandpass filters with center frequencies of 150Hz, 300Hz, and 450Hz and bandwidths of 20Hz were designed to extract vibration signals in three frequency bands. The root mean square value of the filtered signal in each frequency band is calculated and compared with the root mean square value of the 150Hz frequency band. The energy of the 300Hz and 450Hz frequency bands are 0.8 times and 0.6 times that of the 150Hz frequency band, respectively, indicating that the high-frequency component accounts for a large proportion. According to the theoretical model, 300Hz and 450Hz correspond to the 2nd and 3rd times of the rotation frequency, respectively. Combined with the actual speed of the equipment of 2400rpm, that is, 40Hz, it is judged that the vibration isolation bracket may have misalignment or unbalance faults. The misalignment index is further calculated, that is, the ratio of the energy of the 300Hz frequency band to the energy of the 150Hz frequency band. The result is 0.8, which is higher than the national standard of 0.5, and the degree of misalignment is serious. The treatment suggestions are given, and the coaxiality of the vibration isolation bracket is checked by stopping the machine, and calibration or replacement of the bearing seat is performed if necessary.

[0046] In other embodiments, according to the above-mentioned vibration characteristics, the correlation between the structural characteristics of the above-mentioned vibration isolation bracket and the above-mentioned vibration characteristics is determined to obtain the first correlation, including: according to the above-mentioned frequency distribution characteristics, using correlation analysis, calculating the correlation coefficient matrix between the above-mentioned amplitudes corresponding to the different frequencies and the structural parameters of the above-mentioned vibration isolation bracket, to obtain the above-mentioned first correlation. In this embodiment, according to the frequency distribution characteristics, using correlation analysis, the correlation coefficient matrix between the amplitudes corresponding to different frequencies and the structural parameters of the vibration isolation bracket is calculated, which ensures that the first correlation obtained is relatively accurate, thereby ensuring that the damping effect obtained subsequently is relatively accurate.

[0047] In some other exemplary embodiments, modal analysis is used to determine the natural frequency of the vibration isolation bracket according to the finite element model, including: using experimental modal analysis to perform different external excitations on the finite element model to determine the frequency response function of the finite element model at different external excitation frequencies; using vibration theory to curve fit the frequency response function to obtain the natural frequency. In this embodiment, experimental modal analysis is used to perform different external excitations on the finite element model to determine the frequency response function of the finite element model at different external excitation frequencies, and the influence of different external devices (external excitations) on the vibration of the vibration isolation bracket is taken into account, thereby further ensuring that the performance of the target vibration isolation bracket obtained subsequently is good.

[0048] Specifically, the elements in the correlation coefficient matrix whose correlation coefficient is greater than the correlation coefficient threshold indicate that the vibration at this frequency is highly correlated with the corresponding structural parameters; experimental modal analysis is used to excite the vibration isolation bracket by hammering or exciter, and acceleration sensors are arranged at key positions of the bracket to measure the vibration response of each point of the bracket under the excitation, and the vibration mode and frequency response function of the vibration isolation bracket at different excitation frequencies are obtained; using vibration theory and system identification methods, the frequency response function is curve fitted to obtain the modal parameters of the vibration isolation bracket system, including the natural frequency, damping ratio and vibration mode, and the vibration mode is obtained by analysis. Analyze the natural frequencies and vibration modes of each order to determine the natural vibration characteristics of the vibration isolation bracket; combine finite element simulation to establish the geometric model and material properties of the vibration isolation bracket, divide the grid and apply boundary conditions, simulate the vibration response of the vibration isolation bracket under different constraints and load conditions, and obtain the natural frequency and vibration mode distribution of the bracket by solving the inherent characteristic equation of the bracket; compare the natural frequencies obtained from the experimental modal analysis and finite element simulation with the external excitation frequency obtained from the spectrum analysis. If it is found that the natural frequency is close to a certain order of excitation frequency, it is judged that the vibration isolation bracket has a resonance risk, and measures are taken to avoid resonance or reduce the impact of resonance.

[0049] In some other optional schemes, finite element analysis is used to establish a finite element model of the vibration isolation bracket according to the first correlation, including: determining the key parameters of the vibration isolation bracket according to the first correlation, and the key parameters include: frequency range, vibration mode order and geometric dimensions; determining the global grid size of the vibration isolation bracket according to the geometric dimensions using the finite element analysis; determining the material properties of the vibration isolation bracket, and the material properties include elastic modulus, Poisson's ratio and density attribute parameters; determining the boundary conditions of the vibration isolation bracket according to the actual working conditions of the vibration isolation bracket; and establishing the finite element model according to the key parameters, the global grid size, the material properties and the boundary conditions. In this embodiment, the key parameters of the vibration isolation bracket are first determined according to the first correlation, and then the global grid size is determined according to the geometric dimensions using the finite element analysis, and the material properties and boundary conditions of the vibration isolation bracket are determined. Finally, a finite element model is established according to the key parameters, the global grid size, the material properties and the boundary conditions, thereby ensuring that the established finite element model is relatively accurate.

[0050] Specifically, according to the frequency distribution data obtained by spectrum analysis, the correlation coefficient matrix between the vibration amplitude at different frequencies and the support structural parameters is calculated through correlation analysis methods such as Pearson correlation coefficient, Spearman rank correlation coefficient, mutual information, etc., and the structural parameters significantly related to the vibration characteristics are screened out according to the correlation threshold. Experimental modal analysis is adopted to excite the vibration isolation bracket by hammering or exciter, and accelerometers are arranged at key positions of the bracket to measure the vibration response of each point of the bracket under the excitation, and the vibration mode and frequency response function of the vibration isolation bracket under different excitation frequencies are obtained. Using vibration theory and system identification methods, the frequency response function obtained by the experiment is curve fitted to obtain the modal parameters of the vibration isolation bracket system, including natural frequency, damping ratio and vibration mode, etc. The natural vibration characteristics of the vibration isolation bracket are judged by analyzing the natural frequencies and vibration modes of each order. Combined with finite element simulation, the geometric model of the vibration isolation bracket is established, and the appropriate meshing strategy and unit type are selected according to the geometric shape and size of the bracket, and reasonable boundary conditions are set according to the installation and connection method of the bracket. Input the material property parameters of the vibration isolation bracket, such as elastic modulus, Poisson's ratio, density, etc., and obtain the bracket's natural frequency and vibration mode distribution by solving the bracket's natural characteristic equation. Compare the natural frequency obtained by experimental modal analysis and finite element simulation with the external excitation frequency obtained in spectrum analysis, and measure the closeness of the two by the frequency ratio. When the frequency ratio falls into the range of 0.9~1.1, it is considered that the vibration isolation bracket has a resonance risk and measures need to be taken. For the frequency where resonance may occur, adjust the structural parameters of the vibration isolation bracket by increasing the cross-sectional size, optimizing the layout topology, and selecting high-stiffness materials, change the bracket's stiffness and mass distribution, and make the natural frequency away from the excitation frequency. At the same time, attach damping devices such as viscous dampers, friction dampers, and dynamic vibration absorbers to the bracket, or use high-damping materials to improve the damping ratio of the vibration isolation bracket and reduce the amplitude amplification factor during resonance. Establish a dynamic model of the vibration isolation bracket, consider the bracket's mass, stiffness, damping and other parameters, and analyze the bracket's dynamic response under different excitation frequencies and amplitudes. Taking structural stress level and transmissibility as optimization objective functions, and material strength, stiffness and stability as constraints, topology optimization, size optimization, damping optimization and other methods are used to optimize the parameters of the vibration isolation bracket, so as to achieve better anti-resonance and vibration isolation effects while meeting the strength and stiffness requirements. For example, based on the frequency distribution data obtained by spectrum analysis, the Pearson correlation coefficient between the vibration amplitude and 12 structural parameters such as bracket length, width, height, and material density is calculated, and the parameters with an absolute value greater than 0.6 are taken as significantly correlated parameters. The vibration isolation bracket is modally tested using a hammer test, with a sampling frequency of 2048Hz, and the vibration responses of 32 measuring points are recorded. A 32×32 frequency response function matrix is ​​obtained through H1 estimation.The frequency response function was fitted with a multi-reference curve using the CMIF (Constrained Mutual Information Maximization) algorithm to determine the first 10 natural frequencies, damping ratios, and vibration modes of the vibration isolation bracket. A finite element model of the vibration isolation bracket was built, and a hexahedral unit grid with a size of 5 mm was divided. The bottom node was constrained to have 6 degrees of freedom. The elastic modulus of the input material was 2.1×1011Pa, Poisson's ratio was 0.3, and density was 7850kg / m³. The natural frequency was solved, and the difference with the experimental results was less than 5%. It was found that the frequency ratio of the third-order natural frequency of 28Hz to the excitation frequency of 30Hz was 0.93, and there was a risk of resonance. The bracket crossbeam was topologically optimized to remove 30% of the low-stress material and increase the natural frequency by 1 times. A viscoelastic damper with a damping ratio of 0.2 was installed at the bottom of the bracket. The complex mode superposition method was used to calculate the frequency response in the resonance range of 0~50Hz. The resonance peak was reduced from 10 times to less than 2 times, effectively suppressing the resonance.

[0051] Specifically, according to the frequency distribution and bracket structure characteristics obtained by spectral analysis and modal analysis, the modeling objectives and key parameters of the finite element model are determined, including the frequency range, vibration mode order, geometric dimensions of the structure and material properties. Finite element analysis is used to select the unit type, including beam unit, shell unit, solid unit, and determine the global grid size according to the geometric model of the vibration isolation bracket. The elastic modulus, Poisson's ratio, and density attribute parameters of the material used for the vibration isolation bracket are defined, the viscoelastic constitutive relationship of the damping material is defined, and the values ​​are assigned in the finite element software. Static loads, dynamic loads, and impact loads are applied according to the actual working conditions of the vibration isolation bracket. Through the solution and calculation of the finite element model, the response results of the vibration isolation bracket under different working conditions are obtained, including stress distribution, strain distribution, displacement distribution, and frequency response function, and the calculation results are displayed in a visual way through cloud maps and curve graphs.

[0052] Specifically, according to the frequency distribution and support structure characteristics obtained by spectrum analysis and modal analysis, the modeling objectives and key parameters of the finite element model are determined, such as the frequency range considered, the order of vibration modes of concern, the geometric dimensions of the structure and the material properties, etc., to lay the foundation for finite element modeling. Finite element analysis software such as ANSYS, ABAQUS, etc. are used to select appropriate unit types, such as beam units, shell units, solid units, etc., according to the three-dimensional geometric model of the vibration isolation bracket, and the global grid size is determined. A larger size can be used for parts with simple structures, and parts with large stress-strain gradients should be encrypted, such as transition fillets, bolted joints, etc. The rationality of mesh division and the reliability of calculation results are ensured through mesh quality inspection and convergence analysis. Define the elastic modulus, Poisson's ratio, density and other attribute parameters of the material used for the vibration isolation bracket. For the damping material, the viscoelastic constitutive relationship must also be defined and assigned in the finite element software. According to the actual working conditions of the vibration isolation bracket, static loads, dynamic loads, impact loads, etc. are applied. The static load is directly applied to the gravity point of the bracket, and its size is equal to the gravity of the supporting equipment. The unbalanced force is equivalent to the simple harmonic excitation force acting on the bracket, and the excitation frequency is equal to the rotation speed of the equipment. The dynamic load of the reciprocating equipment is obtained by kinematic and dynamic analysis of the crank-connecting rod mechanism. The impact load is equivalent to the triangular wave pulse force acting on the bracket. The direction, position, magnitude and time history of the load should be as consistent as possible with the actual working conditions. The finite element model is solved and calculated to obtain the response results of the vibration isolation bracket under different working conditions, such as stress distribution, strain distribution, displacement distribution, frequency response function, etc. The calculation results are displayed in a visual way such as cloud map and curve chart. The finite element analysis results are post-processed to extract the dynamic characteristic parameters such as the natural frequency, vibration mode, and frequency response function of the vibration isolation bracket. The frequency ratio and vibration mode coefficient are used to judge the resonance risk. When the frequency ratio is between 0.9 and 1.1 and the vibration mode coefficient exceeds 0.2, vibration elimination measures need to be taken. The ratio of stress level to allowable stress, that is, the safety factor, is used to judge the overload risk. When the safety factor is less than 1.5, structural reinforcement or load limiting measures need to be taken. By calculating the amplitude of vibration stress, the probability of fatigue fracture of the bracket within the design life is estimated. When the probability exceeds the design index, structural optimization is required. If the dynamic performance of the vibration isolation bracket does not meet the requirements, the weak links are optimized and improved. The size optimization method is used to improve the dynamic characteristics of the bracket by adjusting the cross-sectional dimensions of the beam, the thickness of the plate and other geometric parameters while keeping the topological shape of the bracket unchanged. The shape optimization method is used to reduce stress concentration and improve the strength and stiffness of the bracket by adjusting the outer contour of the bracket, such as chamfered corners and opening holes, while keeping the topological structure of the bracket unchanged. The topological optimization method is used to find the optimal force transmission path within a given design space by changing the distribution and connection method of the material to obtain a lightweight and efficient bracket structure.In addition to structural optimization, the dynamic performance of the vibration isolation bracket can be improved by installing additional devices such as dynamic shock absorbers and dampers on the bracket, or using vibration-reducing materials such as composite materials and metal rubber, and re-performing finite element analysis until the design indicators are met. According to the previous modal test and spectrum analysis, it is determined that the finite element model of the vibration isolation bracket needs to focus on the first 10 vibration modes in the frequency range of 0~500Hz. The three-dimensional CAD model of the bracket is imported into ANSYS, and the mesh is divided by tetrahedral solid units. The global mesh size is set to 10mm, and the mesh size is refined to 2mm in stress concentration areas such as fillets and bolt holes. A total of 125,000 units and 250,000 nodes are generated. The material property parameters are defined according to Q235 steel, with an elastic modulus of 210GPa, a Poisson's ratio of 0.3, and a density of 7850kg / m³. A gravity load of 2000N, a simple harmonic excitation load of 100N (frequency 50Hz) and an impact load of 500N (pulse width 10ms) are applied respectively, and the vibration response of the bracket is solved by the modal superposition method. The calculated natural frequencies are 23Hz, 78Hz, and 169Hz, respectively. The first three vibration modes are overall bending along the X, Y, and Z directions, respectively. The minimum frequency ratio is 0.46, and the resonance risk is low. The stress cloud diagram shows that the stress at the bottom of the bracket is the largest, which is 65MPa, which is less than the allowable stress of Q235 of 235MPa. The safety factor is 3.6, which meets the strength requirements. Fatigue analysis shows that under 1 million cycles of load, the probability of fatigue failure of the bracket is less than one in ten thousand. In order to further reduce the vibration of the bracket, four viscoelastic dampers with a damping ratio of 0.3 were installed at its bottom, and the vibration displacement amplitude was reduced by 50%.

[0053] Specifically, different types of damping materials are defined in the geometric model of the vibration isolation bracket, and the damping materials are assigned corresponding damping characteristic parameters. In the geometric model of the vibration isolation bracket, the structural layout of the bracket is parametrically defined, and design variables are introduced. By changing the values ​​of the design variables, different structural forms of the bracket are automatically generated within a preset range. The modal superposition method and direct integration method are used to calculate the inherent characteristics and frequency response characteristics of the vibration isolation bracket under different combinations of damping materials and bracket structures, and the key parameters of the inherent frequency, vibration mode, and frequency response function are obtained. The influence of the damping material and bracket structure on the vibration characteristics is analyzed. The vibration energy flow distribution of the vibration isolation bracket is extracted, and the vibration propagation path diagram is drawn to identify the main path of vibration propagation from the excitation point to the response point. The energy attenuation along the propagation path is calculated, and the contribution of the propagation path to the damping effect is determined to obtain the propagation path that affects the damping effect. A sensitivity analysis is performed on the damping effect of the vibration isolation bracket, and the sensitivity of different damping material property parameters and bracket structure design parameters is calculated respectively. According to the size of the sensitivity coefficient, the key parameters whose influence on the damping effect is greater than the influence threshold are determined, and the damping material type and bracket structure form with sensitivity higher than the sensitivity threshold are selected.

[0054] Specifically, a finite element model of the vibration isolation bracket is established, and different types of damping materials are defined in the model, such as polymer damping materials, metal damping materials, magnetorheological damping materials, etc., and the corresponding damping characteristic parameters of the materials are given, such as damping ratio, shear modulus, loss factor, etc. Parametric CAD software such as CATIA and UG are used to define key features such as the geometric dimensions and topological structure of the vibration isolation bracket as parameters, and a parametric model of the bracket is constructed. On the basis of the parametric model, the parameter values ​​are automatically modified within the preset variable range by writing scripts or using optimization design software such as Isight and ModeFrontier, and different structural forms of the bracket are generated in batches. The determination of the variable range requires comprehensive consideration of factors such as the strength, stiffness, and manufacturing process of the bracket. Through parametric drive and rule constraints, a bracket structure that meets the design requirements and manufacturing specifications is automatically created. The inherent characteristics of the vibration isolation bracket under different combinations of damping materials and bracket structures are calculated by using eigenvalue decomposition method, subspace iteration method, etc., and the frequency response characteristics of the bracket are calculated by modal superposition method, direct integration method, etc., and key parameters such as natural frequency, vibration mode, and frequency response function are obtained to analyze the influence of damping materials and bracket structures on vibration characteristics. The displacement and stress response of each node of the bracket are obtained by finite element simulation calculation, and the vibration velocity and energy flux density of the node are calculated by post-processing. The vibration velocity can be obtained by differentiating the displacement response, and the energy flux density is calculated by the vector cross product of stress and velocity. By integrating the energy flux density, the energy flux through the cross section can be obtained. Drawing the energy flux density vector diagram can intuitively characterize the propagation path and attenuation of energy in the bracket. By comparing the differences in energy flux density in different regions, the importance of each propagation path can be judged, and the key propagation path that affects the damping effect can be found. Taking the damping ratio as the optimization target, the sensitivity analysis methods such as the first-order partial derivative method are used to apply disturbances to the damping ratio, density and other attribute parameters of the damping material, as well as the size, shape and other structural parameters of the bracket. The change of the damping ratio before and after the disturbance is calculated by vibration response analysis, and the sensitivity coefficient of each parameter is calculated by central difference and other methods. The sensitivity coefficients are sorted from large to small to determine the key parameters that have the most significant impact on the damping effect, and the damping material type and bracket structure with high sensitivity are selected. Through the results of frequency response characteristics, vibration propagation path, and sensitivity analysis, while limiting the natural frequency to avoid the excitation frequency, high damping materials are arranged along the main propagation path to reduce the transmission and amplification of vibration, thereby obtaining the optimal damping material selection and structural layout scheme for the vibration isolation bracket, which significantly improves the damping effect of the bracket. According to the optimized design plan, the samples of the vibration isolation bracket are processed and manufactured, and the vibration isolation performance is tested on a multi-axial vibration table. According to the typical excitation frequency range to which the bracket is subjected, the excitation spectrum of sinusoidal swept frequency, fixed frequency or random vibration is set, and vibration environment conditions of different intensities are simulated by controlling the displacement, velocity or acceleration amplitude of the vibration table.Accelerometers, strain gauges, etc. are arranged at key positions of the bracket to collect the vibration response signal of the bracket. Through spectrum analysis, modal analysis and other methods, key parameters such as the natural frequency, damping ratio, and vibration mode of the bracket are extracted. Indicators such as vibration transmissibility and force transmissibility are used to quantitatively evaluate the vibration isolation performance and attenuation effect of the vibration isolation bracket. By comparing the vibration response characteristics of the bracket before and after optimization, the effect of the optimized design is analyzed, and compared with the simulation analysis results to verify the accuracy and reliability of the optimization method. The vibration table test can comprehensively evaluate the mechanical properties of the vibration isolation bracket under actual dynamic loads, and is a necessary means to verify the effect of the optimized design. For example, the vibration isolation bracket uses Q235 steel and ZN40Mn rubber damping material. The geometric model is established in ANSYS, and the mesh is divided using 20-node SOLID186 units. The steel density is 7800kg / m³, the elastic modulus is 210GPa, the Poisson's ratio is 0.3, and the damping ratio is 0.001; the rubber density is 1200kg / m³, the shear modulus is 1.2MPa, the Poisson's ratio is 0.47, and the damping ratio is 0.1. The length L, width W, height H, rib thickness T and other parameters of the bracket are defined in CATIA, and parameterized modeling is performed using Isight integrated with ANSYS. 100 samples are randomly generated within the range of L (200, 300), W (100, 150), H (50, 80), and T (5, 10). The Lanczos method is used to solve the inherent characteristics of the sample, the modal strain energy method is used to calculate the normalized coefficient of the vibration mode, and then the modal superposition method is used to calculate the displacement frequency response function in the frequency range of 0500Hz. The stress field and velocity field are obtained by post-processing, and the energy flux density formula q=-σ·v (q is the energy flux density, -σ is the conductivity of the material, and v is the electric field strength) is used to calculate the vibration energy flow of each unit, and the energy flux vector diagram is drawn. Taking the displacement response of point H1 as the target, the sensitivity coefficient of the design variable is calculated using the central difference method, and the main sensitive parameters are H, W, and T. Based on the results of sensitivity analysis, the bracket structure is optimized, and a 0.5mm thick rubber damping layer is used in the 100200Hz frequency band. It is arranged at the bottom of the bracket in the critical propagation path, and the damping effect is improved by 50%. Finally, a vibration table test is carried out on the optimization scheme. A 0.5g acceleration random excitation is applied at 5~200Hz. The displacement response of point H1 is reduced by 65%, which is in good agreement with the simulation results, verifying the effectiveness of the optimization method.

[0055] Specifically, on the basis of finite element analysis, the damping characteristics are optimized by selecting the specified damping materials and improving the bracket design. By comparing and analyzing the physical and mechanical properties of different damping materials, candidate damping materials with damping performance higher than the performance threshold and compatibility with the bracket material greater than the compatibility threshold are screened out. For the selected candidate damping materials, the dynamic characteristic parameters of the materials at different frequencies, temperatures, and strain amplitudes are tested by dynamic mechanical analysis and vibration transfer function testing, and the vibration reduction mechanism and vibration absorption effect of the damping materials are judged by finite element simulation. The shape and size of the bracket are optimized by combining parametric modeling and topological optimization, and the damping materials are arranged at the key parts of the bracket, and the thickness and distribution position are parameterized. The optimal damping material and the bracket structure after the optimized design are parametrically defined in the finite element model, and orthogonal tests are carried out to obtain the optimized design scheme; the damping effects of different schemes are compared by vibration response analysis and sensitivity analysis to obtain the optimal material and structural combination parameters.

[0056] Specifically, for the initial design of the vibration isolation bracket, the numerical model of the bracket structure is established using finite element analysis software. By defining material properties, mesh division, boundary conditions, etc., the vibration response of the bracket under actual load conditions is obtained, and the dynamic characteristic parameters such as the natural frequency, vibration mode, and frequency response of the bracket are analyzed. According to the vibration characteristic parameters obtained by finite element analysis, the weak links such as the resonant frequency and vibration transmission path of the vibration isolation bracket are determined, and the damping characteristics and vibration reduction performance of the bracket are improved from the two aspects of damping material optimization and structural optimization design. In terms of damping material optimization, the damping type, formula composition, microstructure and other factors of the material are comprehensively considered, and high-performance damping materials such as viscoelastic polymers, metal rubbers, and damping alloys are selected, and the material formula is optimized to improve the material's viscoelasticity and vibration reduction characteristics; at the same time, the interface matching between the damping material and the bracket matrix must be taken into account, and the bonding strength between the two is enhanced by surface treatment and coating of an intermediate layer. The dynamic mechanical analyzer (DMA), double cantilever beam tester and other equipment are used to test the dynamic mechanical performance indicators of the damping material such as storage modulus, loss modulus, damping ratio within the working temperature and frequency range. By drawing the material master curve, the variation law of the material damping ratio and loss modulus with frequency is obtained, and the material viscoelastic constitutive model is constructed to provide material parameters for finite element analysis. In terms of structural optimization design, the vibration stress concentration is reduced by optimizing the external dimensions and transition fillets of the bracket; the vibration transmission path is optimized by adjusting the connection mode and support position of the bracket; and the stiffness and mass distribution of the bracket are adjusted to avoid the resonance frequency. The damping material is reasonably arranged at the key parts of the bracket, and the laying area and thickness distribution of the damping material are optimized by using methods based on vibration mode, stress strain and sensitivity. Under the premise of meeting various constraints, the vibration reduction efficiency of the damping material is fully utilized. The method combining parametric modeling and topological optimization is adopted to optimize the shape and size of the bracket, improve the load transfer path, and cooperate with the damping material arrangement plan. If necessary, a counterweight design is adopted to maintain the center of mass position and moment of inertia of the bracket. Through full factor test or parameter scanning method, different damping material parameters, thickness distribution, etc. are set in the finite element model to obtain a series of optimized design combination schemes; vibration response analysis and sensitivity analysis are used to compare the vibration reduction effects of different schemes to obtain the optimal design parameter combination. According to the optimization design results, vibration isolation bracket samples are processed and manufactured, and the vibration response of the bracket is tested under actual working conditions on a multi-axial vibration test bench. The difference in vibration reduction effect of the bracket before and after optimization is quantitatively evaluated using indicators such as response peak, frequency band vibration energy, attenuation ratio, dynamic stiffness, and radiated noise. Combined with simulation analysis, the effectiveness of the damping optimization design is verified; at the same time, the fatigue life and reliability of the bracket are analyzed to evaluate the long-term service performance of the bracket, providing data support and design basis for engineering applications.For example, based on the three-dimensional CAD model of the vibration isolation bracket, a finite element mesh model consisting of about 50,000 10-node tetrahedral units was divided in ANSYS, and the material properties were set to Q235 steel, density 7850kg / m³, elastic modulus 210GPa, Poisson's ratio 0.3, and damping ratio 0.001. Then, constraints and loads under actual working conditions were applied, and the modal superposition method was used to calculate the vibration response within the frequency range of 0500Hz. The first three natural frequencies were 45Hz, 136Hz and 265Hz, respectively, and the vibration mode was mainly bending deformation along the x, y, and z directions. After analysis, 45Hz is within the excitation frequency range, and the corresponding vibration mode strain energy is large, which is very easy to cause resonance, so this frequency is determined as the focus of optimization. DMA was used to test the dynamic properties of elastomer-modified epoxy resin, and the damping ratio was as high as 0.55 at room temperature and frequency, and it remained stable within 20250Hz, so it was selected as the preferred damping material. Through the topology optimization algorithm, damping materials with a total volume fraction of 20% are arranged in each weak area of ​​the bracket, and the thickness of the damping layer is set to change continuously within the range of 15mm. The optimization goal is to minimize the dynamic stiffness of the bracket, and the maximum displacement and maximum stress are constrained to not exceed the allowable value. The progressive crystallization method is used for iterative optimization. After 5 iterations, a converged solution is obtained. A damping coating with a thickness of 35mm is laid in the area where the strain energy density is greater than 1kJ / m³, and the total mass is increased by 2.5kg. The optimization scheme is simulated and analyzed, and the 45Hz peak response is reduced by 85%, and the vibration attenuation time is shortened from 2.5s to 0.4s. The optimized sample is manufactured and the vibration table test is carried out. The test results show that the amplitude at 45Hz is reduced by 8.5dB, the deviation from the simulation result is less than 5%, and the noise of the whole machine is reduced by 4.7dB. After the test, the sample is intact, and no problems such as damping layer shedding and cracking are found, which verifies the effectiveness of the design scheme.

[0057] Specifically, the materials are selected based on their durability and environmental adaptability to ensure the effectiveness and durability of the improvement measures in actual use. A damping material database is constructed to collect the physical and mechanical performance parameters of damping materials; according to the actual working environment conditions of the vibration isolation bracket, damping materials with environmental adaptability requirements that meet the environmental adaptability threshold are screened out, and the categories and grades of the candidate materials are preliminarily determined; a dynamic thermomechanical analyzer is used to test the dynamic mechanical properties of the candidate damping materials under actual working conditions, and by drawing the material master curve, it is determined whether the damping effect of the material is stable in actual use; accelerated aging tests are conducted on the candidate damping materials to evaluate the durability of the materials; based on the connection method between the damping material and the bracket structure, the bonding strength and interface stability between the damping material and the substrate are evaluated.

[0058] Specifically, a damping material database is constructed to collect the physical and mechanical performance parameters of commonly used damping materials, including density, elastic modulus, Poisson's ratio, damping ratio, glass transition temperature, thermal expansion coefficient, thermal conductivity, fatigue strength, etc., and to sort out the applicable temperature range, maximum strain amplitude, chemical stability, anti-aging, processability and other precautions for use of the materials. According to the actual working environment conditions of the vibration isolation bracket, such as temperature range, humidity range, vibration frequency range, vibration acceleration amplitude, etc., damping materials that meet the environmental adaptability requirements are screened out, and the categories and grades of the candidate materials are preliminarily determined. Using dynamic mechanical analyzer (DMA), double cantilever beam tester and other equipment, multiple temperature points are set within the material's operating temperature range, such as -20℃80℃, to test the storage modulus, loss modulus, damping ratio and other temperature variation curves of the material; within the vibration frequency range to which the material is subjected, such as 0.1Hz1000Hz, multiple frequency sweep tests are performed to obtain the material dynamic performance parameter variation curve with frequency; within the material fatigue limit strain range, such as 0.01%~10%, different dynamic strain amplitudes are set to test the material performance variation law with strain amplitude. Compare the variation range of material performance parameters, especially damping ratio, under different working conditions, and evaluate the stability of the material's dynamic performance. Accelerated aging tests are performed on alternative damping materials to simulate environmental factors such as high temperature, high humidity, vibration, and radiation in actual use, test the damping performance changes before and after material aging, and evaluate the durability of the material. For rubber materials, the hardness, tensile strength, elongation, etc. before and after aging are tested; for elastomeric materials, the hardness, resilience, compression deformation, etc. before and after aging are tested; for viscoelastic polymer materials, the viscosity, fracture strength, fracture elongation, etc. before and after aging are tested; for damping alloy materials, the yield strength, fatigue strength, fracture toughness, etc. before and after aging are tested. At the same time, the changes in physical properties such as mass loss, volume change, and surface cracking of the material during the aging process are tested to determine the degradation rate of the material performance in long-term use and estimate the service life of the material. According to the connection method between the damping material and the bracket structure, the vibration table, drop hammer impact tester, honeycomb impact tester, electro-hydraulic servo fatigue tester and other equipment are used to test the stress distribution, transfer characteristics, energy absorption performance, damage mode, fatigue life, etc. of the connection interface under vibration, impact, and fatigue loads under simulated actual environmental conditions, quantitatively evaluate the strength, stiffness, and fatigue performance of the interface structure, and select the optimal connection process and material ratio with stable interface quality and high residual strength.In the finite element model of the vibration isolation bracket, the property parameters of the damping material are parametrically defined, including the density, elastic modulus, Poisson's ratio, damping ratio, etc. of the material. The damping material is arranged at the key parts of the bracket. The parametric design method is adopted to characterize the vibration reduction efficiency with indicators such as system loss factor and vibration transmissibility, the material volume with material usage, and the cost with factors such as material price, processing time, and process complexity. A multi-objective optimization model is established to reasonably set the weight coefficients of the three optimization objectives of vibration reduction efficiency, material usage, and cost. The optimization methods such as genetic algorithm, particle swarm algorithm, and topology optimization algorithm are used to solve the problem. Under the constraints of vibration reduction efficiency, strength, stiffness, etc., the optimal laying area and thickness distribution of the damping material are obtained. For the selected groups of damping material schemes, bench tests or real vehicle tests are carried out on vibration isolation bracket samples to test the vibration isolation performance indicators of the samples under actual working conditions, such as natural frequency, damping ratio, response peak, attenuation time, etc. Durability tests are carried out to test the performance degradation of the samples after long-term use. The vibration reduction effect, stability, durability, reliability, economy and other indicators are quantified and scored, and the scheme is comprehensively evaluated by multi-attribute decision-making methods such as hierarchical analysis method, grey correlation analysis method, TOPSIS method, etc., and sensitivity analysis and feasibility analysis are performed. Finally, the optimal damping material selection and layout scheme is weighed and determined, and the acceptance specifications and use and maintenance procedures of the materials are formulated to ensure the effectiveness and durability of the improvement measures. For example, a database containing 50 commonly used damping materials is established, and each material has an average of 12 physical parameters, such as ZN33 damping rubber, with a density of 1200kg / m³, a dynamic elastic modulus of 8MPa, a damping ratio of 0.3, an operating temperature of -3080℃, and a maximum strain of 10%. According to the working environment of the bracket of -2060℃ and a vibration frequency of 20500Hz, five suitable materials such as silicone rubber, nitrile rubber, and polyurethane are selected. Using DMA, the damping ratio tanδ of the material was tested at -40100℃ and 0.11000Hz, respectively. It was found that the tanδ of the polyurethane material was stable above 0.4 in the range of 2060℃ and 50500Hz. The material was UV aged for 72h, and the test hardness dropped from 75A to 70A, the tensile strength dropped from 35MPa to 31MPa, the elongation dropped from 550% to 480%, the damping ratio dropped from 0.42 to 0.35, and the performance degradation rate was less than 20%. The shear fatigue test was carried out on the bonding interface between the material and the bracket. Under the conditions of 100N shear load and 10Hz frequency, the fatigue life can reach more than 100,000 times. The layout and thickness of the damping material were parameterized and optimized using a genetic algorithm. The vibration reduction rate, material consumption, and cost were used as the objective functions, and the weight coefficients were 0.5, 0.3, and 0.2, respectively. After 20 generations of iterations, the optimal layout scheme was obtained, and a 24mm thick damping material was laid in the area where the strain energy density was greater than 1kJ / m³.Samples were made for the optimized solution and tested on a multi-axial vibration table. Compared with the original solution, the natural frequency was increased by 15%, the damping ratio was increased by 1.8 times, the vibration peak was reduced by 8dB, and the overall cost performance was improved by 25%.

[0059] In some further optional schemes, the method further includes: performing vibration tests on the target vibration isolation bracket under different vibration excitations to obtain corresponding vibration response data; determining the damping ratio of the target vibration isolation bracket based on the vibration response data; and correcting the target vibration isolation bracket based on the damping ratio. In this embodiment, vibration tests are performed on the target vibration isolation bracket under different vibration excitations to obtain corresponding vibration response data, and the damping ratio of the target vibration isolation bracket is determined based on the vibration response data. Finally, the target vibration isolation bracket is corrected based on the damping ratio, which further ensures that the performance of the corrected target vibration isolation bracket is better.

[0060] Specifically, the damping effect of the improved vibration isolation bracket is evaluated, and the degree of improvement of the damping effect is analyzed by comparing the test with historical data. For the vibration isolation bracket samples after the optimized design, a vibration test plan is formulated, and the test equipment is selected to simulate the vibration environment under actual working conditions; sensors are arranged at key positions of the vibration isolation bracket to collect the response data of the bracket under different vibration excitations; the collected vibration response data is analyzed in the time domain and frequency domain, and the quantitative indicators of the resonance frequency and damping ratio are extracted, and compared with the test data before optimization, and the degree of improvement of the damping effect is quantitatively evaluated; the modal analysis method is used to identify the natural frequency and vibration mode of the bracket, analyze the changes in the inherent characteristics of the bracket, evaluate the impact of the optimized design on the dynamic characteristics of the bracket, and verify whether the vibration reduction mechanism meets expectations.

[0061] Specifically, for the optimized vibration isolation bracket sample, a vibration test plan is formulated, and appropriate test equipment such as electromagnetic vibration table and hydraulic vibration table are selected to simulate the vibration environment under actual working conditions, and excitation spectra including sine frequency sweep, random vibration, and impact test are designed. Acceleration sensors, velocity sensors, displacement sensors, and strain gauges are arranged at key positions of the bracket to collect the response parameters such as acceleration, velocity, displacement, and strain of the bracket under different vibration excitations, focusing on key indicators such as resonant frequency, peak amplitude, and attenuation time. At the same time, environmental parameters such as temperature and humidity of the bracket and control parameters of the vibration table are recorded. The collected vibration response data are analyzed in time domain and frequency domain, and the time history curve, spectrum diagram, power spectrum density diagram, etc. of the response signal are plotted. The resonant frequency is identified by means of frequency response function curve, power spectrum density curve, and time-frequency spectrum diagram. The damping ratio is calculated by using the half-power bandwidth method and random reduction method, and quantitative indicators such as root mean square acceleration and peak value are extracted. The data are compared with the test data before optimization to quantitatively evaluate the improvement of the damping effect. Based on the vibration test results of the optimized vibration isolation bracket, the modal analysis method is used to identify the natural frequency and vibration mode of the bracket through frequency response function curve fitting and other technologies, analyze the changes in the inherent characteristics of the bracket, evaluate the impact of the optimized design on the dynamic characteristics of the bracket, and verify whether the vibration reduction mechanism meets expectations. The test data and simulation results before and after the optimization of the vibration isolation bracket are comprehensively analyzed. From multiple dimensions such as vibration peak attenuation, resonance area avoidance, frequency band vibration energy attenuation, and vibration transmissibility suppression, indicators such as logarithmic ratio and relative change rate are used to quantitatively evaluate the contribution of damping materials and structural improvements to the vibration reduction performance of the bracket. After obtaining the quantitative results of each individual indicator, after normalization and weight assignment, the comprehensive evaluation index is obtained by weighted average, which is compared with the preset threshold or ranked with the index of other optimization schemes to obtain the quantitative evaluation results of the optimized design, summarize the effects and deficiencies of the optimization, and provide direction for subsequent technical improvements. For example, for the optimization scheme of vibration isolation bracket, three test spectra are designed: sine sweep, random vibration and impact test, with a frequency coverage of 5~250Hz, a sine sweep rate of 2oct / min, a random vibration PSD value of 0.05g² / Hz, and an impact acceleration peak of 15g. Three-axis acceleration sensors and unidirectional displacement sensors are arranged at the bottom, middle and top of the bracket, and strain gauges are arranged in the stress concentration area with a sampling frequency of 5kHz. The collected 512-second time domain signal is divided into 16 sub-blocks, each of 32 seconds, with an overlap rate of 50%. After Hanning window processing, FFT is performed to obtain the spectrum diagram, and the frequencies corresponding to the 5 resonance peaks are read. The errors with the finite element calculation results are all within 5%. The PSD of the random vibration signal is calculated, and the root mean square acceleration value is 12.5m / s², which is 22% lower than before optimization. The velocity and displacement history are obtained by integrating the impact signal, and the peak values ​​are 12.6cm / s and 6.5mm, which are reduced by 35% and 42% respectively.The transfer function of the sine frequency sweep signal was obtained, and the damping ratio was calculated using the half-power bandwidth method. The first three orders were 2.6%, 3.5%, and 4.2%, respectively, which were 0.8, 1.2, and 1.5 percentage points higher than before optimization. The improvement of the three indicators after optimization was calculated, normalized, and weighted averaged, and the overall performance was improved by 32%. After 10 repeated tests and 3 environmental experiments, the test results were stable, proving the high reliability of the optimization scheme. Finally, a set of general optimization processes and evaluation criteria suitable for a variety of vibration isolation brackets was formed.

[0062] Specifically, after comparing the test with historical data, if the damping effect still does not meet expectations, continue to adjust the parameters of the damping material and the structure of the bracket, repeat simulation, testing and analysis, and improve the comprehensive performance of the vibration isolation bracket. If the test results show that the damping effect of the optimized bracket does not meet the expected goal, use the test data to correct and verify the finite element model of the bracket, and improve the model parameters of material properties and connection conditions. According to the results of vibration testing and data analysis, improve the optimization design of the vibration isolation bracket and form design specifications and technical standards. And conduct long-term tracking and statistical analysis of the vibration monitoring data of the bracket, evaluate the long-term effectiveness and reliability of the optimized design, continuously improve damping, and improve the comprehensive performance of the vibration isolation bracket.

[0063] Specifically, according to the results of the comparative test, quantitative indicators such as vibration transmissibility, acceleration peak, displacement response, force transmissibility, attenuation time and modal vibration correlation coefficient are used to evaluate the damping effect of the optimized vibration isolation bracket. Each indicator is normalized, and the indicator weight is determined by combining the hierarchical analysis method. The comprehensive damping effect improvement index is obtained by weighted average, which is used as a quantitative basis for measuring the optimization effect and used to determine whether the expected goal is met. If the damping effect does not meet expectations, the iterative optimization method is used. On the basis of the previous round of optimization, combined with the expert experience of designers, production process personnel, and product application personnel in related fields, as well as vibration theory analysis, material mechanics theory, damping vibration reduction theory, and simulation optimization theory, the design variables and optimization direction of the new round of iterative optimization are determined. When adjusting the structural parameters of the vibration isolation bracket, refer to factors such as design specifications and standards, production process level, and cost budget constraints to determine the reasonable range of parameters such as length, width, height, wall thickness, rib thickness, and fillet radius. Through parametric modeling, these parameters are changed within this range to generate a series of optimized design schemes for the bracket structure. When adjusting the damping material property parameters, the reasonable range of variation of material density, elastic modulus, Poisson's ratio and damping ratio is determined. Through material formula design and process optimization, these parameters are adjusted within this range to obtain a series of optimal configuration schemes for damping materials. The optimized design schemes of the vibration isolation bracket structure and damping materials are input into the simulation analysis model. The numerical simulation methods such as finite element and multi-body dynamics are used to predict the dynamic characteristics and damping effect of the bracket under different optimization schemes, and obtain key output parameters such as vibration response, stress distribution, and frequency characteristics. Starting from multiple performance indicators such as bracket structure strength, stiffness, damping, and noise, a multi-objective optimization model is constructed, and the overall optimization objective function is obtained by normalization, weighting and other methods. After considering the constraints such as the strength, stiffness, stability and manufacturability of the bracket, as well as the value range of each design parameter, the optimization model is solved by using intelligent optimization algorithms such as genetic algorithms and particle swarm optimization, and the optimal parameter combination is searched in the design space to obtain the best optimization design scheme under the current iteration round. The current optimal design scheme is compared with the results of the previous iteration to evaluate the improvement of the optimization effect. If the improvement is less than the preset convergence threshold, such as 1%, the optimization design is judged to have converged, and the current optimal design is made into a sample and tested. By comparing with the simulation analysis results, the optimization design model is checked and corrected to complete the iterative optimization process. If the improvement is still greater than the convergence threshold, the current optimal design is used as the benchmark for the new round of iterative optimization, and the iterative optimization step is returned to continue the next round of optimization until the convergence condition is met. Finally, the optimal design solution of the vibration isolation bracket that meets the damping performance requirements is obtained.For example, for the damping optimization design of a certain type of vibration isolation bracket, the vibration transmission rate was measured to be -15dB, the acceleration peak was 1.5g, the displacement response was 2mm, the force transmission rate was -20dB, the decay time was 0.5s, and the modal vibration MAC value was 0.8. After normalizing these six indicators, the AHP method was used to determine the weights to be 0.3, 0.25, 0.15, 0.1, 0.1, and 0.1, respectively. The weighted average obtained a comprehensive improvement index of 0.6, which did not reach the target value of 0.8. Combined with the experience of the designers, damping material was added to the bottom of the bracket, and ribs were added to three of the connecting plates. At the same time, circular holes were opened in key locations. The range of optimal design parameters was: damping material density 12001800kg / m³, elastic modulus 110GPa, damping ratio 0.10.5, rib thickness 25mm, and circular hole radius 5~15mm. Orthogonal experimental design was adopted, and 18 groups of parameter combinations were selected for simulation to obtain the Pareto frontier. It was found that the maximum stress of the bracket was <200MPa, the displacement was <1mm, the natural frequency was >50Hz, and the acoustic power calculated by acoustic-vibration coupling was <80dB. The maximum stress, displacement, minimum acoustic power and maximum natural frequency were taken as the objective functions, and the multi-objective genetic algorithm NSGA-II was used for solution. The population was 50, the evolution was 500 generations, the crossover probability was 0.8, and the mutation probability was 0.1. The current optimal design was obtained: the damping material density was 1600kg / m³, the elastic modulus was 5GPa, the damping ratio was 0.3, the rib thickness was 3mm, and the circular hole radius was 10mm. Compared with the benchmark scheme, the comprehensive improvement index was increased by 15%. Samples were made for testing, and the errors between various indicators and simulation results were <10%, and the optimization effect was obvious. After repeated iterations for 4 times, the convergence was achieved, and the optimization scheme was finally determined. On the basis of the original design, the damping ratio was increased by 50%, the vibration attenuation was accelerated by 30%, the transmission rate was reduced by 5dB, and the natural frequency was increased by 20%, which effectively improved the vibration isolation performance of the bracket.

[0064] In order to enable those skilled in the art to more clearly understand the technical solution of the present application, the implementation process of the vibration analysis method of the reactor vibration isolation system of the present application will be described in detail below in combination with specific embodiments.

[0065] This embodiment relates to a specific vibration analysis method for a reactor vibration isolation system, wherein the reactor is installed on a vibration isolation bracket, and includes the following steps:

[0066] Step S1: using a vibration sensor installed on the vibration isolation bracket to obtain an initial vibration signal of the vibration isolation bracket, and performing a denoising operation and a filtering operation on the initial vibration signal to obtain a vibration signal;

[0067] Step S2: extracting vibration features from the vibration signal using time domain analysis and frequency domain analysis;

[0068] Step S3: determining the correlation between the structural characteristics of the vibration isolation bracket and the vibration characteristics according to the vibration characteristics, and obtaining a first correlation;

[0069] Step S4: using finite element analysis to establish a finite element model of the vibration isolation bracket according to the first correlation;

[0070] Step S5: using modal analysis to determine the natural frequency of the vibration isolation bracket according to the finite element model, and determining the correlation between the natural frequency and the external excitation frequency to obtain a second correlation;

[0071] Step S6: simulating the influence of different structural features on the vibration propagation path of the vibration isolation bracket according to the first correlation, the second correlation and the finite element model to obtain the corresponding damping effect;

[0072] Step S7: Optimize the vibration isolation bracket according to the damping effect to obtain a target vibration isolation bracket.

[0073] Step S8: Perform vibration tests on the target vibration isolation bracket under different vibration excitations to obtain corresponding vibration response data, determine the damping ratio of the target vibration isolation bracket based on the vibration response data, and modify the target vibration isolation bracket based on the damping ratio.

[0074] It should be noted that the steps shown in the flowcharts of the accompanying drawings can be executed in a computer system such as a set of computer executable instructions, and that, although a logical order is shown in the flowcharts, in some cases, the steps shown or described can be executed in an order different from that shown here.

[0075] An embodiment of the present invention provides a computer-readable storage medium, which includes a stored program, wherein when the program is executed, the device where the computer-readable storage medium is located is controlled to execute the vibration analysis method of the reactor vibration isolation system.

[0076] Specifically, the vibration analysis method of the reactor vibration isolation system includes:

[0077] Step S201, obtaining a vibration signal of the vibration isolation bracket in a working state;

[0078] Step S202, extracting vibration features from the vibration signal by using time domain analysis and frequency domain analysis;

[0079] Step S203, determining the correlation between the structural characteristics of the vibration isolation bracket and the vibration characteristics according to the vibration characteristics, and obtaining a first correlation;

[0080] Step S204, using finite element analysis to establish a finite element model of the vibration isolation bracket according to the first correlation;

[0081] Step S205, using modal analysis, according to the finite element model, determining the natural frequency of the vibration isolation bracket, and determining the correlation between the natural frequency and the external excitation frequency, to obtain a second correlation;

[0082] Step S206, simulating the influence of the different structural features on the vibration propagation path of the vibration isolation bracket according to the first correlation, the second correlation and the finite element model, to obtain a corresponding damping effect;

[0083] Specifically, the above-mentioned structural features include damping materials and structural changes.

[0084] Step S207: optimizing the vibration isolation bracket according to the damping effect to obtain a target vibration isolation bracket.

[0085] Optionally, a vibration sensor is installed on the above-mentioned vibration isolation bracket to obtain the vibration signal of the above-mentioned vibration isolation bracket in a working state, including: using the above-mentioned vibration sensor to obtain the initial vibration signal of the above-mentioned vibration isolation bracket; performing denoising and filtering operations on the above-mentioned initial vibration signal to obtain the above-mentioned vibration signal.

[0086] Optionally, time domain analysis and frequency domain analysis are used to extract vibration characteristics from the vibration signal, including: converting the vibration signal according to a preset sampling frequency and a preset sampling time to obtain time domain vibration data; using a digital filtering algorithm to perform preprocessing operations on the time domain vibration data to obtain target time domain vibration data; using a fast Fourier transform algorithm to convert the target time domain vibration data to the frequency domain to obtain a frequency spectrum diagram characterizing the relationship between the frequency and amplitude of the vibration signal; and determining the frequency distribution characteristics of the vibration signal based on the frequency spectrum diagram.

[0087] Optionally, based on the above-mentioned vibration characteristics, the correlation between the structural characteristics of the above-mentioned vibration isolation bracket and the above-mentioned vibration characteristics is determined to obtain a first correlation, including: based on the above-mentioned frequency distribution characteristics, using correlation analysis, calculating the correlation coefficient matrix between the above-mentioned amplitudes corresponding to different above-mentioned frequencies and the structural parameters of the above-mentioned vibration isolation bracket to obtain the above-mentioned first correlation.

[0088] Optionally, modal analysis is used to determine the natural frequency of the vibration isolation bracket based on the finite element model, including: using experimental modal analysis to perform different external excitations on the finite element model to determine the frequency response function of the finite element model under the different external excitation frequencies; using vibration theory to perform curve fitting on the frequency response function to obtain the natural frequency.

[0089] Optionally, a finite element model of the vibration isolation bracket is established based on the first correlation using finite element analysis, including: determining key parameters of the vibration isolation bracket based on the first correlation, the key parameters including frequency range, vibration mode order and geometric dimensions; determining the global grid size of the vibration isolation bracket based on the geometric dimensions using the finite element analysis; determining the material properties of the vibration isolation bracket, the material properties including elastic modulus, Poisson's ratio and density attribute parameters; determining the boundary conditions of the vibration isolation bracket based on the actual working conditions of the vibration isolation bracket; and establishing the finite element model based on the key parameters, the global grid size, the material properties and the boundary conditions.

[0090] Optionally, the method further includes: performing vibration tests on the target vibration isolation bracket under different vibration excitations to obtain corresponding vibration response data; determining the damping ratio of the target vibration isolation bracket based on the vibration response data; and correcting the target vibration isolation bracket based on the damping ratio.

[0091] The present application also provides a computer program product, including computer instructions, which, when executed by a processor, implement at least the following method steps: step S201, obtaining the vibration signal of the vibration isolation bracket in a working state; step S202, extracting vibration characteristics from the vibration signal by using time domain analysis and frequency domain analysis; step S203, determining the correlation between the structural characteristics of the vibration isolation bracket and the vibration characteristics according to the vibration characteristics, and obtaining a first correlation; step S204, establishing a finite element model of the vibration isolation bracket according to the first correlation by using finite element analysis; step S205, determining the natural frequency of the vibration isolation bracket according to the finite element model by using modal analysis, and determining the correlation between the natural frequency and the external excitation frequency, and obtaining a second correlation; step S206, simulating the influence of different structural characteristics on the vibration propagation path of the vibration isolation bracket according to the first correlation, the second correlation and the finite element model, and obtaining a corresponding damping effect; step S207, optimizing the vibration isolation bracket according to the damping effect, and obtaining a target vibration isolation bracket.

[0092] Optionally, a vibration sensor is installed on the above-mentioned vibration isolation bracket to obtain the vibration signal of the above-mentioned vibration isolation bracket in a working state, including: using the above-mentioned vibration sensor to obtain the initial vibration signal of the above-mentioned vibration isolation bracket; performing denoising and filtering operations on the above-mentioned initial vibration signal to obtain the above-mentioned vibration signal.

[0093] Optionally, time domain analysis and frequency domain analysis are used to extract vibration characteristics from the vibration signal, including: converting the vibration signal according to a preset sampling frequency and a preset sampling time to obtain time domain vibration data; using a digital filtering algorithm to perform preprocessing operations on the time domain vibration data to obtain target time domain vibration data; using a fast Fourier transform algorithm to convert the target time domain vibration data to the frequency domain to obtain a frequency spectrum diagram characterizing the relationship between the frequency and amplitude of the vibration signal; and determining the frequency distribution characteristics of the vibration signal based on the frequency spectrum diagram.

[0094] Optionally, based on the above-mentioned vibration characteristics, the correlation between the structural characteristics of the above-mentioned vibration isolation bracket and the above-mentioned vibration characteristics is determined to obtain a first correlation, including: based on the above-mentioned frequency distribution characteristics, using correlation analysis, calculating the correlation coefficient matrix between the above-mentioned amplitudes corresponding to different above-mentioned frequencies and the structural parameters of the above-mentioned vibration isolation bracket to obtain the above-mentioned first correlation.

[0095] Optionally, modal analysis is used to determine the natural frequency of the vibration isolation bracket based on the finite element model, including: using experimental modal analysis to perform different external excitations on the finite element model to determine the frequency response function of the finite element model under the different external excitation frequencies; using vibration theory to perform curve fitting on the frequency response function to obtain the natural frequency.

[0096] Optionally, a finite element model of the vibration isolation bracket is established based on the first correlation using finite element analysis, including: determining key parameters of the vibration isolation bracket based on the first correlation, the key parameters including frequency range, vibration mode order and geometric dimensions; determining the global grid size of the vibration isolation bracket based on the geometric dimensions using the finite element analysis; determining the material properties of the vibration isolation bracket, the material properties including elastic modulus, Poisson's ratio and density attribute parameters; determining the boundary conditions of the vibration isolation bracket based on the actual working conditions of the vibration isolation bracket; and establishing the finite element model based on the key parameters, the global grid size, the material properties and the boundary conditions.

[0097] Optionally, the method further includes: performing vibration tests on the target vibration isolation bracket under different vibration excitations to obtain corresponding vibration response data; determining the damping ratio of the target vibration isolation bracket based on the vibration response data; and correcting the target vibration isolation bracket based on the damping ratio.

[0098] An embodiment of the present application also provides an electronic device, comprising: one or more processors, a memory, and one or more programs, wherein the one or more programs are stored in the memory and are configured to be executed by the one or more processors, and the one or more programs include a method for executing any one of the above-mentioned vibration analysis methods of the reactor vibration isolation system.

[0099] Obviously, those skilled in the art should understand that the above modules or steps of the present invention can be implemented by a general computing device, they can be concentrated on a single computing device, or distributed on a network composed of multiple computing devices, they can be implemented by a program code executable by a computing device, so that they can be stored in a storage device and executed by the computing device, and in some cases, the steps shown or described can be executed in a different order than here, or they can be made into individual integrated circuit modules, or multiple modules or steps therein can be made into a single integrated circuit module for implementation. Thus, the present invention is not limited to any specific combination of hardware and software.

[0100] Those skilled in the art will appreciate that the embodiments of the present application may be provided as methods, systems, or computer program products. Therefore, the present application may adopt the form of a complete hardware embodiment, a complete software embodiment, or an embodiment combining software and hardware. Moreover, the present application may adopt the form of a computer program product implemented on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) containing computer-usable program codes.

[0101] The present application is described with reference to the flowcharts and / or block diagrams of the methods, devices (systems), and computer program products according to the embodiments of the present application. It should be understood that each process and / or box in the flowchart and / or block diagram, as well as the combination of the processes and / or boxes in the flowchart and / or block diagram, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, a special-purpose computer, an embedded processor, or other programmable data processing device to generate a machine, so that the instructions executed by the processor of the computer or other programmable data processing device generate instructions for implementing the processes in the flowchart and / or block diagram. Figure 1 A process or multiple processes and / or boxes Figure 1 A device that provides the functions specified in a block or multiple blocks.

[0102] These computer program instructions may also be stored in a computer-readable memory capable of directing a computer or other programmable data processing device to operate in a specific manner, so that the instructions stored in the computer-readable memory produce an article of manufacture comprising an instruction device, which implements the process Figure 1 A process or multiple processes and / or boxes Figure 1 A function specified in one or more boxes.

[0103] These computer program instructions can also be loaded onto a computer or other programmable data processing device so that a series of operating steps are executed on the computer or other programmable device to produce a computer-implemented process, thereby providing instructions for implementing the process. Figure 1 A process or multiple processes and / or boxes Figure 1 The steps for the functions specified in one or more boxes.

[0104] In a typical configuration, a computing device includes one or more processors (CPU), input / output interfaces, network interfaces, and memory.

[0105] The memory may include non-permanent memory in a computer-readable medium, random access memory (RAM) and / or non-volatile memory in the form of read-only memory (ROM) or flash RAM. The memory is an example of a computer-readable medium.

[0106] Computer readable media include permanent and non-permanent, removable and non-removable media that can be implemented by any method or technology to store information. Information can be computer readable instructions, data structures, program modules or other data. Examples of computer storage media include, but are not limited to, phase change memory (PRAM), static random access memory (SRAM), dynamic random access memory (DRAM), other types of random access memory (RAM), read-only memory (ROM), electrically erasable programmable read-only memory (EEPROM), flash memory or other memory technology, compact disk read-only memory (CD-ROM), digital versatile disk (DVD) or other optical storage, magnetic cassettes, magnetic tape disk storage or other magnetic storage devices or any other non-transmission media that can be used to store information that can be accessed by a computing device. As defined herein, computer readable media does not include temporary computer readable media (transitory media), such as modulated data signals and carrier waves.

[0107] It should also be noted that the terms "include", "comprises" or any other variations thereof are intended to cover non-exclusive inclusion, so that a process, method, commodity or device including a series of elements includes not only those elements, but also other elements not explicitly listed, or also includes elements inherent to such process, method, commodity or device. In the absence of more restrictions, the elements defined by the sentence "comprises a ..." do not exclude the existence of other identical elements in the process, method, commodity or device including the elements.

[0108] From the above description, it can be seen that the above embodiments of the present application achieve the following technical effects:

[0109] In the vibration analysis method of the reactor vibration isolation system of the present application, the vibration signal of the vibration isolation bracket in the working state is first obtained, and the vibration characteristics are extracted from the vibration signal by using time domain analysis and frequency domain analysis. Then, based on the vibration characteristics, the relationship between the structural characteristics and the vibration characteristics of the vibration isolation bracket is determined to obtain a first correlation, and based on the finite element analysis and the first correlation, a finite element model of the vibration isolation bracket is established, and then based on the modal analysis and the finite element model, the natural frequency of the vibration isolation bracket is determined, and the correlation between the natural frequency and the external excitation frequency is determined to obtain a second correlation, and then based on the first correlation, the second correlation and the finite element model, the influence of different structural characteristics on the vibration propagation path of the vibration isolation bracket is simulated to obtain the corresponding damping effect, and finally, based on the damping effect, the vibration isolation bracket is optimized to obtain a target vibration isolation bracket. Compared with the problem in the prior art that it is difficult to simultaneously ensure the damping effect and vibration isolation performance of the vibration isolation bracket, the present application determines the relationship between the structural characteristics and the vibration characteristics of the vibration isolation bracket to obtain a first correlation, and uses finite element analysis to determine the relationship between the natural frequency of the vibration isolation bracket and the external excitation frequency to obtain a second correlation, and then simulates the influence of different structural characteristics on the vibration propagation path of the vibration isolation bracket according to the first correlation, the second correlation and the finite element model to obtain the corresponding damping effect. That is, the present application takes into account the structure, vibration and external excitation factors of the vibration isolation bracket to simulate the vibration isolation bracket to obtain the damping effect, thereby ensuring that the obtained damping effect is relatively accurate, thereby ensuring that the target vibration isolation bracket obtained by optimizing the vibration isolation bracket according to the damping effect has better performance, and ensuring that the damping effect and vibration isolation performance of the target vibration isolation bracket are better.

[0110] The above description is only the preferred embodiment of the present application and is not intended to limit the present application. For those skilled in the art, the present application may have various modifications and variations. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present application shall be included in the protection scope of the present application.

Claims

1. A vibration analysis method for a reactor vibration isolation system, characterized in that: The reactor is installed on a vibration isolation bracket, and the method comprises: Acquiring a vibration signal of the vibration isolation bracket in a working state; Extracting vibration features from the vibration signal using time domain analysis and frequency domain analysis; Determine, according to the vibration characteristics, a correlation between a structural characteristic of the vibration isolation bracket and the vibration characteristics to obtain a first correlation; Using finite element analysis, according to the first correlation, a finite element model of the vibration isolation bracket is established; Using modal analysis, according to the finite element model, the natural frequency of the vibration isolation bracket is determined, and the correlation between the natural frequency and the external excitation frequency is determined to obtain a second correlation; According to the first correlation, the second correlation and the finite element model, simulating the influence of different structural features on the vibration propagation path of the vibration isolation bracket to obtain corresponding damping effects; According to the damping effect, the vibration isolation bracket is optimized to obtain a target vibration isolation bracket. Using finite element analysis, according to the first correlation, a finite element model of the vibration isolation bracket is established, including: Determine key parameters of the vibration isolation bracket according to the first correlation, wherein the key parameters include: frequency range, vibration mode order and geometric dimensions; Determining the global grid size of the vibration isolation bracket according to the geometric size by using the finite element analysis; Determining material properties of the vibration isolation bracket, wherein the material properties include elastic modulus, Poisson's ratio and density attribute parameters; Determining the boundary conditions of the vibration isolation bracket according to the actual working condition of the vibration isolation bracket; The finite element model is established according to the key parameters, the global grid size, the material properties and the boundary conditions.

2. The vibration analysis method of the reactor vibration isolation system according to claim 1, characterized in that: The vibration sensor is installed on the vibration isolation bracket to obtain the vibration signal of the vibration isolation bracket in the working state, including: Using the vibration sensor, obtaining an initial vibration signal of the vibration isolation bracket; The initial vibration signal is subjected to denoising and filtering operations to obtain the vibration signal.

3. The vibration analysis method of the reactor vibration isolation system according to claim 1, characterized in that: Vibration features are extracted from the vibration signal using time domain analysis and frequency domain analysis, including: Convert the vibration signal according to a preset sampling frequency and a preset sampling time to obtain time domain vibration data; Using a digital filtering algorithm, preprocessing the time-domain vibration data to obtain target time-domain vibration data; Using a fast Fourier transform algorithm, the target time domain vibration data is converted into a frequency domain to obtain a frequency spectrum representing the relationship between the frequency and amplitude of the vibration signal; According to the frequency spectrum, the frequency distribution characteristics of the vibration signal are determined.

4. The vibration analysis method of the reactor vibration isolation system according to claim 3, characterized in that: Determining, according to the vibration characteristics, a correlation between the structural characteristics of the vibration isolation bracket and the vibration characteristics to obtain a first correlation includes: According to the frequency distribution characteristics, correlation analysis is used to calculate the correlation coefficient matrix between the amplitudes corresponding to different frequencies and the structural parameters of the vibration isolation bracket to obtain the first correlation.

5. The vibration analysis method of the reactor vibration isolation system according to claim 1, characterized in that: Using modal analysis, according to the finite element model, the natural frequency of the vibration isolation bracket is determined, including: Using experimental modal analysis, the finite element model is subjected to different external excitations to determine the frequency response function of the finite element model at different external excitation frequencies; The frequency response function is curve-fitted using vibration theory to obtain the natural frequency.

6. The vibration analysis method of the reactor vibration isolation system according to claim 1, characterized in that: The method further comprises: Performing vibration tests on the target vibration isolation bracket under different vibration excitations to obtain corresponding vibration response data; Determining a damping ratio of the target vibration isolation bracket according to the vibration response data; The target vibration isolation bracket is corrected according to the damping ratio.

7. A computer-readable storage medium, characterized in that: The computer-readable storage medium includes a stored program, wherein when the program is executed, the device where the computer-readable storage medium is located is controlled to execute the vibration analysis method for the reactor vibration isolation system according to any one of claims 1 to 6.

8. A computer program product comprising computer instructions, characterized in that: When the computer instructions are executed by a processor, the vibration analysis method for the reactor vibration isolation system according to any one of claims 1 to 6 is implemented.

9. An electronic device, characterized in that: include: One or more processors, a memory, and one or more programs, wherein the one or more programs are stored in the memory and are configured to be executed by the one or more processors, and the one or more programs include a method for executing the vibration analysis method of the reactor vibration isolation system according to any one of claims 1 to 6.

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