Vibration sourcing methods, systems, storage media, and devices for engineered structures

Abstract

The embodiment of the application discloses a vibration tracing method for an engineering structure, which comprises the following steps: selecting a plurality of to-be-determined monitoring points according to the significant position of structure vibration and point category; optimizing the arrangement of the plurality of to-be-determined monitoring points according to the correlation coefficient and energy weight between the responses of the plurality of to-be-determined monitoring points; separating the responses of the plurality of to-be-determined monitoring points by using variational mode decomposition independent component analysis to obtain a plurality of monitoring responses; identifying the plurality of monitoring responses according to a support vector machine model to determine the vibration source category corresponding to the components of the plurality of monitoring responses; traversing all the vibration source categories to determine the contribution degree of the components of the plurality of monitoring responses to the response energy, and obtaining the vibration source causing the vibration of the engineering structure. Through the scientific monitoring point selection, optimized arrangement, signal separation and vibration source identification technology, the precise tracing of the vibration source of the engineering structure is realized, and strong support is provided for the health monitoring and vibration control of the engineering structure.

Description

Technical Field

[0001] This invention relates to the field of vibration location technology, and in particular to vibration tracing methods, systems, storage media and devices for engineering structures. Background Technology

[0002] With the rapid development of high-tech industries such as semiconductors and communications, the processing and measurement accuracy of precision instruments and equipment has reached unprecedented levels. However, the requirements of these precision instruments and equipment for the operating environment are becoming increasingly stringent. In particular, the impact of structural vibration on their performance is becoming more and more significant. Under the action of various vibration sources such as road traffic, subway operation, power equipment operation and pedestrian loads, the vertical vibration of building structures has become a key factor affecting the normal operation of precision instruments and equipment.

[0003] To address the aforementioned issues and ensure the normal operation of precision equipment within the structure, structural vibration monitoring is of paramount importance. Existing vibration monitoring technologies primarily focus on measuring and assessing the magnitude of structural vibrations. However, this falls far short of meeting the practical needs for vibration source tracing. In actual engineering projects, in addition to understanding the magnitude of vibrations, it is even more necessary to determine the specific location and source of vibrations exceeding the standard, and analyze the energy contribution of different sources to the vibrations, so as to take timely intervention measures and reduce losses.

[0004] Therefore, in order to more effectively trace the source of structural vibration and ensure the normal operation of precision instruments and equipment, this application proposes a vibration tracing method for engineering structures, which can more efficiently and accurately trace the source of vibration in anti-micro-vibration engineering structures. Summary of the Invention

[0005] Therefore, it is necessary to propose a vibration source tracing method for engineering structures to address the above problems.

[0006] A vibration source tracing method for engineering structures, the method comprising:

[0007] Several undetermined monitoring points were selected based on the significant locations and types of structural vibrations.

[0008] The arrangement of the several undetermined monitoring points is optimized based on the correlation coefficient and energy weight among the responses of the several undetermined monitoring points;

[0009] The responses of the several undetermined monitoring points are separated by variational mode decomposition and independent component analysis to obtain several monitoring responses;

[0010] The support vector machine model is used to identify the several monitoring responses and determine the vibration source category corresponding to the components of the several monitoring responses;

[0011] By iterating through all vibration source categories, the contribution of the components of the monitored responses to the response energy is determined, and the vibration sources causing the vibration of the engineering structure are obtained.

[0012] In the above scheme, the selection of several undetermined monitoring points based on the significant locations and types of structural vibrations specifically includes:

[0013] The corresponding structural vibration response is determined based on the vibration source, where the vibration source is the vibration source of road traffic, subway traffic, power equipment and pedestrian loads experienced by the structure during its service stage.

[0014] The structural vibration response is categorized into mid-span points, column edge points, and internal vibration source locations based on their location, and stored in set x. m In (t), x m (t)=[x k (t),x z (t),x e [(t)], where x k (t) represents the set of vibration responses across the midpoint, x z (t) represents the set of vibration responses at the edge of the column, x e (t) represents the set of vibration responses at the internal vibration source arrangement points;

[0015] Obtain the valid values ​​of the responses of the undetermined monitoring points from the categories of the mid-span point, the column edge point, and the internal vibration source arrangement point, and store them sequentially in the set rms. k rms z and RMS e middle;

[0016] Store the responses of the selected monitoring points to be determined in a set. middle, in, For the vibration response of the midpoint among the undetermined measurement points, The vibration response of the point classified as the edge of the column among the undetermined measurement points. This represents the vibration response of the internal vibration source arrangement point among the undetermined measurement points.

[0017] In the above scheme, the step of storing the responses of the selected monitoring points to be determined in a set It also includes:

[0018] The set of effective values ​​of the responses from the undetermined monitoring points is compared with the maximum effective value of vibration under the corresponding category. When the ratio is greater than a threshold coefficient, the result is determined. When the ratio is less than the threshold coefficient, select the undetermined monitoring point; At that time, the pending monitoring point was abandoned.

[0019] In the above scheme, optimizing the arrangement of the several undetermined monitoring points based on the correlation coefficient and energy weight among their responses specifically includes:

[0020] Obtain the correlation coefficient between the responses of any two undetermined measurement points under the same category, and store the correlation coefficient in the correlation matrix R;

[0021]

[0022] Obtain the relationship between the largest eigenvalue λ and the corresponding eigenvector ξ in the correlation matrix R:

[0023] γ l,1 ξ1+γ l,2 ξ2+…+γ l,k ξ k =λξ l (l = 1, 2, ..., k);

[0024] Define the correlation support μ of the undetermined measurement point. l To obtain the degree of information support from other undetermined measurement points for that undetermined measurement point:

[0025]

[0026] The weight of the effective value of the response of the undetermined measurement point relative to the maximum effective value of the response of the undetermined measurement point under that category is obtained, and the weight is multiplied by the relevant support to obtain the comprehensive support.

[0027] Based on the magnitude of the overall support, the priority of the arrangement of the plurality of undetermined monitoring points is determined.

[0028] In the above scheme, the step of using variational mode decomposition and independent component analysis to separate the responses of the several undetermined monitoring points and obtain several monitoring responses specifically includes:

[0029] The responses of several undetermined monitoring points are decomposed according to variational mode decomposition to obtain several intrinsic mode components;

[0030] The aforementioned intrinsic mode components are combined with the original signal to form a multidimensional monitoring response vector, and the multidimensional monitoring response vector is stored in a set X, X = [x(t), u1(t), u2(t), ..., u m-1 (t)] T Where x(t) is the original signal, u1(t), u2(t), ..., u m-1 (t) represents m intrinsic mode components;

[0031] The objective function is determined based on negative entropy, with the goal of maximizing the non-Gaussianity of the aforementioned intrinsic mode components.

[0032] The fixed-point iterative theory is used to separate independent components from the mixed signal each time;

[0033] Several independent components are determined from the multidimensional monitoring response vector and stored in a set Y, Y = [y1(t), y2(t), ..., y n (t)] T , where y n (t) represents the nth structural vibration response component.

[0034] In the above scheme, the step of identifying the plurality of monitoring responses based on the support vector machine model and determining the vibration source category corresponding to the components of the plurality of monitoring responses specifically includes:

[0035] The structural monitoring response components under road traffic, subway traffic, power equipment and pedestrian loads are extracted respectively, and the time-domain and frequency-domain characteristic parameters of the structural monitoring response components are determined.

[0036] Select the time-domain and frequency-domain feature parameters and construct a multi-dimensional feature vector;

[0037] The multidimensional feature vectors are used to train the support vector machine classification model until training is complete.

[0038] A trained support vector machine classification model is used to classify the structural monitoring response components and determine the vibration source category corresponding to the structural monitoring response components.

[0039] In the above scheme, the step of traversing all vibration source categories, determining the contribution of the components of the several monitored responses to the response energy, and obtaining the vibration sources causing the vibration of the engineering structure specifically includes:

[0040] Calculate the energy of the original signal and the original signal after removing a certain vibration source, compare the degree of change between the two, and determine the contribution of a certain vibration source to the response of the engineering structure.

[0041] Iterate through all vibration source categories, calculate the contribution of each vibration source to the original vibration signal, and find the vibration source that causes the vibration of the engineering structure based on the magnitude of the contribution.

[0042] This application also proposes a vibration tracing system for engineering structures, the system comprising: a monitoring response acquisition unit, a vibration source type determination unit, and a vibration source tracing unit;

[0043] The monitoring response acquisition unit is used to select several undetermined monitoring points based on the significant location and point category of structural vibration; optimize the arrangement of the several undetermined monitoring points based on the correlation coefficient and energy weight between the responses of the several undetermined monitoring points; and separate the responses of the several undetermined monitoring points using variational mode decomposition independent component analysis to obtain several monitoring responses.

[0044] The vibration source type determination unit is used to identify the plurality of monitoring responses according to the support vector machine model and determine the vibration source category corresponding to the components of the plurality of monitoring responses;

[0045] The vibration source tracing unit is used to traverse all vibration source categories, determine the contribution of the components of the several monitored responses to the response energy, and obtain the vibration source that causes the vibration of the engineering structure.

[0046] This application also proposes a readable storage medium storing a computer program, which, when executed by a processor, causes the processor to perform the following steps:

[0047] Several undetermined monitoring points were selected based on the significant locations and types of structural vibrations.

[0048] The arrangement of the several undetermined monitoring points is optimized based on the correlation coefficient and energy weight among the responses of the several undetermined monitoring points;

[0049] The responses of the several undetermined monitoring points are separated by variational mode decomposition and independent component analysis to obtain several monitoring responses;

[0050] The support vector machine model is used to identify the several monitoring responses and determine the vibration source category corresponding to the components of the several monitoring responses;

[0051] By iterating through all vibration source categories, the contribution of the components of the monitored responses to the response energy is determined, and the vibration sources causing the vibration of the engineering structure are obtained.

[0052] This application also proposes a computer device, including a memory and a processor, wherein the memory stores a computer program, and the computer program is executed by the processor in the following steps:

[0053] Several undetermined monitoring points were selected based on the significant locations and types of structural vibrations.

[0054] The arrangement of the several undetermined monitoring points is optimized based on the correlation coefficient and energy weight among the responses of the several undetermined monitoring points;

[0055] The responses of the several undetermined monitoring points are separated by variational mode decomposition and independent component analysis to obtain several monitoring responses;

[0056] The support vector machine model is used to identify the several monitoring responses and determine the vibration source category corresponding to the components of the several monitoring responses;

[0057] By iterating through all vibration source categories, the contribution of the components of the monitored responses to the response energy is determined, and the vibration sources causing the vibration of the engineering structure are obtained.

[0058] The embodiments of this invention offer the following advantages: Several undetermined monitoring points are selected based on the significant locations and types of structural vibrations; the arrangement of these points is optimized based on the correlation coefficients and energy weights among their responses; variational mode decomposition (VM) independent component analysis (ICA) is used to separate the responses of the undetermined monitoring points, obtaining several monitoring responses; a support vector machine (SVM) model is used to identify the vibration sources corresponding to the components of each monitoring response; and all vibration source types are traversed to determine the contribution of each monitoring response component to the response energy, thereby identifying the vibration source causing the structural vibration. This invention, through scientific monitoring point selection, optimized arrangement, signal separation, and vibration source identification techniques, achieves accurate tracing of the vibration source of an engineering structure, providing strong support for the health monitoring and vibration control of engineering structures. Attached Figure Description

[0059] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0060] in:

[0061] Figure 1 This is a schematic diagram of a vibration tracing method for engineering structures in one embodiment;

[0062] Figure 2 This is a schematic diagram of a response decomposition and source tracing method for an engineering structure in one embodiment. Detailed Implementation

[0063] The technical solutions of the present invention will be clearly and completely described below with reference to the accompanying drawings of the embodiments of the present invention. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0064] In the following description, numerous specific details are set forth in order to provide a more thorough understanding of the invention; however, it will be apparent to those skilled in the art that the invention may be practiced without one or more of these details; in other instances, certain technical features well-known in the art have not been described in order to avoid confusion with the invention. It should be understood that the invention can be practiced in different forms and should not be construed as limited to the embodiments set forth herein; rather, these embodiments are provided to make the disclosure thorough and complete and to fully convey the scope of the invention to those skilled in the art.

[0065] The terminology used herein is for the purpose of describing particular embodiments only and is not intended to limit the invention. When used herein, the singular forms “a,” “an,” and “the” are also intended to include the plural forms, unless the context clearly indicates otherwise. The terms “comprising” and / or “including,” when used in this specification, identify the presence of said features, integers, steps, operations, elements, and / or components, but do not exclude the presence or addition of one or more other features, integers, steps, operations, elements, components, and / or groups. When used herein, the term “and / or” includes any and all combinations of the associated listed items.

[0066] To achieve vibration source tracing in structures, there are currently two main technical methods: the first is the transfer path analysis method, which relies on field testing and finite element simulation to assess the contribution of the vibration source to the structural response by calculating the structure's transfer function. However, this method requires a large amount of measured data and complex simulation calculations, resulting in low efficiency and high requirements for the testing environment and model accuracy. The second method is a source tracing method based on signal processing, such as empirical mode decomposition. This method attempts to decompose complex structural response signals into multiple modal components and achieve vibration source tracing by analyzing the proportion of each modal component in the original signal. However, this method is prone to modal aliasing or over-decomposition when dealing with structural response signals with complex frequency components, and the identification of modal components largely depends on subjective judgment, resulting in a certain degree of uncertainty in the analysis results. Therefore, in order to accurately identify the location and source of excessive vibrations, analyze the energy contribution of different vibration sources to the vibration, and provide a scientific basis for timely intervention and loss reduction, this invention provides a vibration source tracing method for engineering structures.

[0067] To fully understand the present invention, a detailed structure will be presented in the following description in order to illustrate the technical solution proposed by the present invention; optional embodiments of the present invention are described in detail below, however, in addition to these detailed descriptions, the present invention may have other embodiments.

[0068] like Figure 1As shown, in one embodiment, a vibration tracing method for engineering structures is provided. This method includes steps S101 to S105, detailed below:

[0069] S101. Select several undetermined monitoring points based on the significant locations and types of structural vibrations;

[0070] Several monitoring points to be determined are selected based on the significant locations and categories of structural vibrations. This step takes into account the characteristics of vibrations in actual engineering. Placing the monitoring points to be determined at locations with significant vibrations can more effectively capture vibration signals. At the same time, it takes into account that the categories of the monitoring points may involve different materials and structural parts, thereby ensuring the comprehensiveness of the monitoring points to be determined.

[0071] In some embodiments, several undetermined monitoring points are selected based on the significant location and type of structural vibration, specifically including:

[0072] The corresponding structural vibration response is determined based on the vibration source, where the vibration source is the vibration source of road traffic, subway traffic, power equipment and pedestrian loads experienced by the structure during its service stage.

[0073] The structural vibration response is categorized into mid-span points, column edge points, and internal vibration source points based on their location, and these categories are stored in set x. m In (t), x m (t)=[x k (t),x z (t),x e [(t)], where x k (t) represents the set of vibration responses across the midpoint, x z (t) represents the set of vibration responses at the edge of the column, x e (t) represents the set of vibration responses at the internal vibration source arrangement points;

[0074] Obtain the valid values ​​of the responses of the undetermined monitoring points from the categories of mid-span point, column edge point, and internal vibration source arrangement point, and store them sequentially in the set rms. k rms z and RMS e middle;

[0075] Store the responses of the selected monitoring points to be determined in a set. middle, in, For the vibration response of the midpoint among the undetermined measurement points, The vibration response of the point classified as the edge of the column among the undetermined measurement points. This represents the vibration response of the internal vibration source arrangement point among the undetermined measurement points.

[0076] Furthermore, the collection of RMS k rmsz and RMS e include:

[0077] rms k =[rms k1 ,rms k2 ,…,rms ka ]

[0078] rms z =[rms z1 ,rms z2 ,…,rms zb ]

[0079] rms e =[rms e1 ,rms e2 ,…,rms ec ]

[0080] Among them, rms k rms z With RMS e These are the effective values ​​of the point responses under the categories of midpoint, column edge, and internal vibration source, respectively.

[0081] Preferably, the undetermined measurement points are classified according to the type of vibration response points, and the undetermined measurement points are determined according to the significant location of structural vibration.

[0082] In some embodiments, the responses of the selected monitoring points to be determined are stored in a set. It also includes:

[0083] The set of effective values ​​of the responses of the monitoring points to be determined is compared with the maximum effective value of vibration under the corresponding category. When the ratio is greater than the threshold coefficient... When the ratio is less than the threshold coefficient, select the undetermined monitoring point; At that time, the pending monitoring point was abandoned.

[0084] Specifically, the effective value (rms) of the vibration at the midpoint is used. k For example, for;

[0085]

[0086] The points corresponding to elements of 1 in the effective value matrix are selected to complete the initial selection of undetermined monitoring points, resulting in the structural layout of undetermined monitoring points. for;

[0087]

[0088] in, For the vibration response of the midpoint among the undetermined measurement points, The vibration response of the point classified as the edge of the column among the undetermined measurement points. This represents the vibration response of the internal vibration source arrangement point among the undetermined measurement points.

[0089] S102. Optimize the layout of several undetermined monitoring points based on the correlation coefficient and energy weight among the responses of several undetermined monitoring points;

[0090] Optimizing the monitoring points using correlation coefficients and energy weights helps to find the optimal arrangement to capture multiple aspects of structural vibration. This method can improve the accuracy and efficiency of monitoring, reduce unnecessary monitoring points, and lower costs.

[0091] In some embodiments, the arrangement of several undetermined monitoring points is optimized based on the correlation coefficient and energy weight among the responses of several undetermined monitoring points, specifically including:

[0092] Obtain the correlation coefficient between the responses of any two undetermined measurement points under the same category, and store the correlation coefficient in the correlation matrix R;

[0093]

[0094] To obtain the relationship between the largest eigenvalue λ and the corresponding eigenvector ξ in the correlation matrix R:

[0095] γ l,1 ξ1+γ l,2 ξ2+…+γ l,k ξ k =λξ l (l = 1, 2, ..., k);

[0096] Define the correlation support μ for the undetermined measurement points l To obtain the degree of information support from other undetermined measurement points for that undetermined measurement point:

[0097]

[0098] Obtain the weight of the effective value of the response of the undetermined measurement point relative to the maximum effective value of the response of the undetermined measurement point in that category, and multiply the weight by the relevant support to obtain the comprehensive support;

[0099] Based on the overall support level, the priority of the deployment of several undetermined monitoring points is determined.

[0100] Preferably, for the correlation matrix, its largest eigenvalue λ and the corresponding eigenvector ξ have a relationship of Rξ = λξ, and ξ = (ξ1, ξ2, ..., ξ). k ) T After substituting, we get;

[0101] γ l,1 ξ1+γ l,2 ξ2+…+γ l,k ξk =λξ l (l = 1, 2, ..., k).

[0102] Preferably, the greater the correlation support, the more the overall vibration information can be reflected with fewer measurement points, and the higher the priority of measurement point arrangement.

[0103] Furthermore, when optimizing the layout of vibration monitoring points, in addition to considering the degree of information support between monitoring points, the energy level of the monitoring point response should also be considered to prevent points with large vibration magnitudes from being incorrectly excluded. An energy weight ψ is defined to correct the relevant support, resulting in a final comprehensive support. For;

[0104]

[0105] in, x represents the overall support for the first measurement point. l Let μ be the vibration response at the l-th measuring point. l For relevant support;

[0106] Calculate the overall support of different locations. The higher the overall support, the higher the priority of the measurement point layout. Based on the magnitude of the overall support, the optimal layout of the undetermined monitoring points is finally achieved.

[0107] S103. Use variational mode decomposition independent component analysis to separate the responses of several undetermined monitoring points and obtain several monitoring responses;

[0108] Variational mode decomposition and independent component analysis (VMD-ICA) are used to separate the response of a given monitoring point to obtain multiple monitoring responses. Both VMD and ICA are advanced signal processing techniques that can effectively separate independent components in complex signals, thereby obtaining several clear and independent monitoring responses. This technique can ensure that each monitoring response accurately reflects an independent vibration source or vibration mode.

[0109] like Figure 2 As shown, in some embodiments, variational mode decomposition independent component analysis is used to separate the responses of several undetermined monitoring points to obtain several monitoring responses, specifically including:

[0110] (1) Based on variational mode decomposition, the responses of several undetermined monitoring points are decomposed to obtain several intrinsic mode components;

[0111] Specifically, the intrinsic modal components are:

[0112]

[0113] Among them, u kr(t) is the k-th intrinsic mode function, K is the number of intrinsic mode functions, and r(t) is the remainder term generated after decomposition.

[0114] (2) Combine several intrinsic mode components with the original signal to form a multidimensional monitoring response vector, and store the multidimensional monitoring response vector in a set X, X=[x(t),u1(t),u2(t),...,u m-1 (t)] T Where x(t) is the original signal, u1(t), u2(t), ..., u m-1 (t) represents m intrinsic mode components;

[0115] Specifically, do not calculate each intrinsic mode function u k The correlation coefficient between u(t) and the original signal x(t) is used to select the intrinsic mode function u(t) with strong correlation and form an m-dimensional monitoring response vector together with the original signal x(t).

[0116] (3) The objective function is determined based on the negative entropy, with the goal of maximizing the non-Gaussianity of several intrinsic mode components.

[0117] (4) Use fixed-point iterative theory to separate independent components from the mixed signal each time;

[0118] (5) Determine several independent components from the multidimensional monitoring response vector and store them in a set Y, Y = [y1(t), y2(t), ..., y n (t)] T , where y n (t) represents the nth structural vibration response component.

[0119] Preferably, the m-dimensional monitoring response vector can be considered to be influenced by the combined effects of the n-dimensional vibration source signal, and thus...

[0120] X = AS

[0121] Where A is an m×n dimensional hybrid matrix, S is an n-dimensional source signal, and S=[s1(t),s2(t),...,s n (t)] T ;

[0122] In order to decouple the calculation of the multidimensional monitoring response vector when the source signal and the mixing matrix are unknown, the independent component analysis method is used to obtain the maximum non-Gaussianity of the components through iteration. Negative entropy is used as the objective function of the algorithm to separate the response components from the multidimensional monitoring response vector.

[0123] Y = WX = WAS

[0124] Where Y is the estimate of the n-dimensional vibration source signal, Y = [y1(t), y2(t), ..., y n (t)] T y n (t) represents the structural vibration response component caused by the nth vibration source, and W is an n×m dimensional separation matrix.

[0125] S104. Based on the support vector machine model, identify several monitoring responses and determine the vibration source category corresponding to the components of several monitoring responses;

[0126] Support Vector Machine (SVM) is a powerful machine learning algorithm, especially suitable for classification problems. By training an SVM model, the vibration source category corresponding to different vibration responses can be accurately identified.

[0127] In some embodiments, several monitoring responses are identified based on a support vector machine model to determine the source categories corresponding to the components of the several monitoring responses, specifically including:

[0128] (1) Extract the structural monitoring response components under road traffic, subway traffic, power equipment and pedestrian load respectively, and determine the time domain and frequency domain characteristic parameters of the structural monitoring response components.

[0129] Among them, the time-domain and frequency-domain characteristic parameters include: root mean square value, kurtosis index, margin index, waveform index, impulse index, peak index, frequency domain amplitude average, centroid frequency, mean square frequency, variance frequency, frequency variance, wavelet packet energy spectrum, and energy entropy.

[0130] (2) Select time-domain and frequency-domain feature parameters and construct multi-dimensional feature vectors;

[0131] Specifically, f i =[f1,f2,…,f 20 ], where f1~f 20 The selected time-domain and frequency-domain feature parameters; for the responses caused by different types of vibration sources, the category labels for the responses caused by road traffic, subway traffic, power equipment, and pedestrian load vibration sources are defined as 1, 2, 3, and 4, respectively, and the overall data sample set is represented as follows;

[0132] (f i ,y i )=[f1,f2…f 20 ,y i ]

[0133] Among them, y i The category label for the response induced by the vibration source, and y i Using the overall data sample set ∈{1,2,3,4}, a support vector machine model is trained.

[0134] (3) Train the support vector machine classification model using multidimensional feature vectors until training is complete;

[0135] (4) The trained support vector machine classification model is used to classify the structural monitoring response components and determine the vibration source category corresponding to the structural monitoring response components.

[0136] Specifically, Where Y is the structural response component obtained in step S3. To classify it as a structural vibration response component caused by road traffic, To classify it as a structural vibration response component caused by subway traffic, To classify it as a structural vibration response component caused by dynamic equipment, The structural vibration response components are classified as being caused by pedestrian loads.

[0137] S105. Traverse all vibration source categories, determine the contribution of several monitoring response components to the response energy, and obtain the vibration source that causes the vibration of the engineering structure.

[0138] By traversing all vibration source categories and calculating their contribution to the response energy, the main vibration sources causing the vibration of engineering structures can be identified. This method provides engineers with quantitative information about the vibration sources, which helps to formulate targeted vibration control strategies. The entire scheme, from monitoring point selection and optimization to signal separation and vibration source identification, forms a complete vibration source tracing process.

[0139] In some embodiments, all vibration source categories are traversed to determine the contribution of several components of the monitored response to the response energy, thereby obtaining the vibration sources causing the vibration of the engineering structure. Specifically, this includes:

[0140] Calculate the energy of the original signal and the original signal after removing a certain vibration source, compare the degree of change between the two, and determine the contribution of a certain vibration source to the response of the engineering structure.

[0141] Iterate through all vibration source categories, calculate the contribution of each vibration source to the original vibration signal, and find the vibration source that causes the vibration of the engineering structure based on the magnitude of the contribution.

[0142] Specifically, since the structure is in the linear elastic stage under the action of multiple vibration sources, for the m-dimensional mixed vibration signal vector X=[x(t),u1(t),u2(t),...,u m-1 (t)] T It can be considered that it is the response S=[s1(t),s2(t),...,s] generated by n vibration sources acting on the structure. n (t)] T The superposition of the mixed signals, i.e., the vibration signal vector X is a linear combination of the response S, is expressed as:

[0143]

[0144] Where x(t) is the original monitoring response signal, and x(t) = a 11 s1+a 12 s2+a 13 s3+…+a 1n s n .

[0145] To calculate the contribution of different vibration sources to the vibration signal, the energy of the original signal and the original signal after removing a certain vibration source can be calculated separately. By comparing the changes in the two, the contribution of a particular vibration source to the structural response can be determined. i ;

[0146]

[0147] Among them, e i For the vibration source s i (t) represents the degree of contribution of the structural response. For L 2 The square of the norm.

[0148] Similarly, iterate through all vibration source categories, calculate the contribution of each vibration source to the original vibration signal, and find the main vibration source causing structural vibration based on the magnitude of the contribution.

[0149] In summary, the proposed scheme determines the vibration monitoring points by using the correlation coefficient and energy weight between the responses of the measurement points, separates the monitoring responses using variational mode decomposition and independent component analysis, identifies the response components based on the support vector machine model, and identifies the main vibration sources causing structural vibration by calculating the contribution of each component to the total response, so as to intervene in a timely manner and reduce losses.

[0150] This application also proposes a vibration tracing system for engineering structures, the system comprising: a monitoring response acquisition unit, a vibration source type determination unit, and a vibration source tracing unit;

[0151] The monitoring response acquisition unit is used to select several undetermined monitoring points based on the significant location and type of structural vibration; optimize the arrangement of several undetermined monitoring points based on the correlation coefficient and energy weight between the responses of several undetermined monitoring points; and separate the responses of several undetermined monitoring points using variational mode decomposition independent component analysis to obtain several monitoring responses.

[0152] The vibration source type determination unit is used to identify several monitoring responses based on the support vector machine model and determine the vibration source category corresponding to the components of several monitoring responses;

[0153] The vibration source tracing unit is used to traverse all vibration source categories, determine the contribution of several monitoring response components to the response energy, and obtain the vibration source that causes the vibration of the engineering structure.

[0154] This application also proposes a readable storage medium storing a computer program, which, when executed by a processor, causes the processor to perform the following steps:

[0155] Several undetermined monitoring points were selected based on the significant locations and types of structural vibrations.

[0156] The layout of several undetermined monitoring points is optimized based on the correlation coefficient and energy weight among the responses of several undetermined monitoring points;

[0157] The responses of several undetermined monitoring points were separated by variational mode decomposition independent component analysis to obtain several monitoring responses;

[0158] Based on the support vector machine model, several monitoring responses are identified, and the vibration source categories corresponding to the components of several monitoring responses are determined.

[0159] By iterating through all vibration source categories, determining the contribution of several components of the monitored response to the response energy, the vibration sources causing the vibration of the engineering structure are obtained.

[0160] This application also proposes a computer device, including a memory and a processor, wherein the memory stores a computer program, and the computer program is executed by the processor in the following steps:

[0161] Several undetermined monitoring points were selected based on the significant locations and types of structural vibrations.

[0162] The layout of several undetermined monitoring points is optimized based on the correlation coefficient and energy weight among the responses of several undetermined monitoring points;

[0163] The responses of several undetermined monitoring points were separated by variational mode decomposition independent component analysis to obtain several monitoring responses;

[0164] Based on the support vector machine model, several monitoring responses are identified, and the vibration source categories corresponding to the components of several monitoring responses are determined.

[0165] By iterating through all vibration source categories, determining the contribution of several components of the monitored response to the response energy, the vibration sources causing the vibration of the engineering structure are obtained.

[0166] Those skilled in the art will understand that implementing all or part of the processes in the above embodiments can be accomplished by instructing related hardware through a computer program. The program can be stored in a non-volatile computer-readable storage medium, and when executed, it can include the processes of the embodiments of the above methods. Any references to memory, storage, databases, or other media used in the embodiments provided in this application can include non-volatile and / or volatile memory. Non-volatile memory can include read-only memory (ROM), programmable ROM (PROM), electrically programmable ROM (EPROM), electrically erasable programmable ROM (EEPROM), or flash memory. Volatile memory can include random access memory (RAM) or external cache memory. By way of illustration and not limitation, RAM is available in various forms, such as static RAM (SRAM), dynamic RAM (DRAM), synchronous DRAM (SDRAM), dual data rate SDRAM (DDRSDRAM), enhanced SDRAM (ESDRAM), synchronous link DRAM (SLDRAM), Rambus direct RAM (RDRAM), direct memory bus dynamic RAM (DRDRAM), and memory bus dynamic RAM (RDRAM), etc.

[0167] The technical features of the above embodiments can be combined in any way. For the sake of brevity, not all possible combinations of the technical features in the above embodiments are described. However, as long as there is no contradiction in the combination of these technical features, they should be considered to be within the scope of this specification.

[0168] The embodiments described above are merely illustrative of several implementation methods of this application, and their descriptions are relatively specific and detailed. However, they should not be construed as limiting the scope of this application's patent. It should be noted that those skilled in the art can make various modifications and improvements without departing from the concept of this application, and these all fall within the protection scope of this application. The embodiments disclosed above are merely preferred embodiments of the present invention and should not be construed as limiting the scope of the present invention. Therefore, equivalent variations made according to the claims of this invention are still within the scope of this invention.

Claims

1. A vibration source tracing method for engineering structures, characterized in that, The method includes: Several undetermined monitoring points were selected based on the significant locations and types of structural vibrations. The arrangement of the several undetermined monitoring points is optimized based on the correlation coefficient and energy weight among the responses of the several undetermined monitoring points; The responses of the several undetermined monitoring points are separated by variational mode decomposition and independent component analysis to obtain several monitoring responses; The support vector machine model is used to identify the several monitoring responses and determine the vibration source category corresponding to the components of the several monitoring responses; By iterating through all vibration source categories, the contribution of the components of the monitored response to the response energy is determined, and the vibration sources causing the vibration of the engineering structure are obtained. The optimization of the arrangement of the plurality of undetermined monitoring points based on the correlation coefficient and energy weight among the responses of the plurality of undetermined monitoring points specifically includes: Obtain the correlation coefficient between the responses of any two undetermined measurement points within the same category, and store the correlation coefficient in the correlation matrix. R middle; ； Obtain the correlation matrix R The largest eigenvalue in the middle With the corresponding feature vector Relationship: ； Define the relevant support of the undetermined measurement points. To obtain the degree of information support from other undetermined measurement points for that undetermined measurement point: ； The weight of the effective value of the response of the undetermined measurement point relative to the maximum effective value of the response of the undetermined measurement point under that category is obtained, and the weight is multiplied by the relevant support to obtain the comprehensive support. Based on the magnitude of the overall support, the priority of the arrangement of the plurality of undetermined monitoring points is determined; Specifically, the step of using variational mode decomposition and independent component analysis to separate the responses of the several undetermined monitoring points and obtain several monitoring responses includes: The responses of several undetermined monitoring points are decomposed according to variational mode decomposition to obtain several intrinsic mode components; The aforementioned intrinsic mode components are combined with the original signal to form a multidimensional monitoring response vector, and the multidimensional monitoring response vector is stored in a set. middle, ,in The original signal, for m One intrinsic mode component; The objective function is determined based on negative entropy, with the goal of maximizing the non-Gaussianity of the aforementioned intrinsic mode components. The fixed-point iterative theory is used to separate independent components from the mixed signal each time; Several independent components are determined from the multidimensional monitoring response vector and stored in a set. middle, ,in, This is the nth structural vibration response component.

2. The vibration source tracing method for engineering structures according to claim 1, characterized in that, The selection of several undetermined monitoring points based on the significant locations and types of structural vibrations specifically includes: The corresponding structural vibration response is determined based on the vibration source, where the vibration source is the vibration source of road traffic, subway traffic, power equipment and pedestrian loads experienced by the structure during its service stage. The structural vibration response is categorized into mid-span points, column edge points, and internal vibration source locations based on their location, and these are stored in a set. middle, ,in, The set of vibration responses across the midpoint. This is the set of vibration responses at the points along the column edge. The set of vibration responses at the internal vibration source locations; Obtain the valid values ​​of the responses of the undetermined monitoring points from the categories of the mid-span point, the column edge point, and the internal vibration source arrangement point, and store them sequentially in a set. , and middle; Store the responses of the selected monitoring points to be determined in a set. middle, ,in, For the vibration response of the midpoint among the undetermined measurement points, The vibration response of the point classified as the edge of the column among the undetermined measurement points. This represents the vibration response of the internal vibration source arrangement point among the undetermined measurement points.

3. The vibration source tracing method for engineering structures according to claim 2, characterized in that, The response of the selected undetermined monitoring points is stored in a set. It also includes: The set of effective values ​​of the responses from the undetermined monitoring points is compared with the maximum effective value of vibration under the corresponding category. When the ratio is greater than a threshold coefficient, the result is determined. When the ratio is less than the threshold coefficient, select the undetermined monitoring point; At that time, the pending monitoring point was abandoned.

4. The vibration source tracing method for engineering structures according to claim 3, characterized in that, The step of identifying the plurality of monitoring responses based on the support vector machine model and determining the vibration source category corresponding to the components of the plurality of monitoring responses specifically includes: The structural monitoring response components under road traffic, subway traffic, power equipment and pedestrian loads are extracted respectively, and the time-domain and frequency-domain characteristic parameters of the structural monitoring response components are determined. Select the time-domain and frequency-domain feature parameters and construct a multi-dimensional feature vector; The multidimensional feature vectors are used to train the support vector machine classification model until training is complete. A trained support vector machine classification model is used to classify the structural monitoring response components and determine the vibration source category corresponding to the structural monitoring response components.

5. The vibration source tracing method for engineering structures according to claim 4, characterized in that, The process of traversing all vibration source categories, determining the contribution of several monitored response components to the response energy, and obtaining the vibration sources causing the vibration of the engineering structure specifically includes: Calculate the energy of the original signal and the original signal after removing a certain vibration source, compare the degree of change between the two, and determine the contribution of a certain vibration source to the response of the engineering structure. Iterate through all vibration source categories, calculate the contribution of each vibration source to the original vibration signal, and find the vibration source that causes the vibration of the engineering structure based on the magnitude of the contribution.

6. A vibration tracing system for engineering structures, characterized in that, The system includes: a monitoring response acquisition unit, a vibration source type determination unit, and a vibration source tracing unit; The monitoring response acquisition unit is used to select several undetermined monitoring points based on the significant location and point category of structural vibration; optimize the arrangement of the several undetermined monitoring points based on the correlation coefficient and energy weight between the responses of the several undetermined monitoring points; and separate the responses of the several undetermined monitoring points using variational mode decomposition independent component analysis to obtain several monitoring responses. The vibration source type determination unit is used to identify the plurality of monitoring responses according to the support vector machine model and determine the vibration source category corresponding to the components of the plurality of monitoring responses; The vibration source tracing unit is used to traverse all vibration source categories, determine the contribution of the components of the several monitored responses to the response energy, and obtain the vibration source that causes the vibration of the engineering structure. The monitoring response acquisition unit is also used to acquire the correlation coefficient between the responses of any two undetermined measurement points under the same category, and store the correlation coefficient in the correlation matrix. R middle; ； Obtain the correlation matrix R The largest eigenvalue in the middle With the corresponding feature vector Relationship: ； Define the relevant support of the undetermined measurement points. To obtain the degree of information support from other undetermined measurement points for that undetermined measurement point: ； The weight of the effective response value of the undetermined measurement point relative to the maximum effective response value of the undetermined measurement points in that category is obtained, and the weight is multiplied by the relevant support to obtain the comprehensive support; the priority of the arrangement of the several undetermined monitoring points is determined according to the magnitude of the comprehensive support. The monitoring response acquisition unit is further configured to decompose the responses of several undetermined monitoring points acquired by variational mode decomposition to obtain several intrinsic mode components; combine the several intrinsic mode components with the original signal to form a multidimensional monitoring response vector, and store the multidimensional monitoring response vector in a set. middle, ,in The original signal, for m The system identifies several intrinsic mode components; the objective function is determined based on negative entropy, with the goal of maximizing the non-Gaussianity of these components; independent components are separated from the mixed signal each time using fixed-point iteration theory; several independent components are determined from the multidimensional monitoring response vector and stored in a set. middle, ,in, This is the nth structural vibration response component.

7. A readable storage medium storing a computer program that, when executed by a processor, causes the processor to perform the steps of the method as claimed in any one of claims 1 to 5.

8. A computer device comprising a memory and a processor, the memory storing a computer program that, when executed by the processor, causes the processor to perform the steps of the method as described in any one of claims 1 to 5.

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