A simulation analysis method and system for roadbed vibration reduction and isolation effect

Abstract

The present invention relates to the field of roadbed shock absorption, and more specifically, the present invention relates to a method and system for simulating and analyzing the vibration isolation effect of a roadbed. The method comprises: obtaining the autocorrelation coefficient of the frequency domain information of each vibration isolation pile, determining the period of the vibration isolation pile through the analysis of the autocorrelation coefficient, calculating the frequency domain gap coefficient between the vibration isolation piles within the period, establishing a mapping function of the interval distance and the frequency domain gap coefficient, calculating the derivative of the mapping function and performing binary classification to obtain the classification coefficient, taking the interval distance corresponding to the maximum value of the classification coefficient as the optimal interval, and taking the frequency domain gap coefficient of the vibration isolation pile under the optimal interval as the coefficient threshold; taking the central vibration isolation pile as the center, setting the influence range, extracting the vibration amplitude near the central moment, sorting and fitting the maximum value curve, and optimizing the layout of the vibration isolation piles. The present invention optimizes the layout of the vibration isolation piles in a targeted manner by analyzing the frequency domain gap coefficients of the vibration isolation piles on both sides of the central vibration isolation pile, thereby improving the vibration isolation efficiency and reducing the construction cost.

Description

Technical Field

[0001] The present invention relates to the field of roadbed vibration reduction, and more specifically, to a method and system for simulating and analyzing roadbed vibration reduction and isolation effects. Background Art

[0002] The rapid development of urban rail transit may indeed have an impact on the lives of surrounding residents and the safety of buildings, especially in terms of vibration and noise. As an effective vibration isolation measure, vibration isolation piles can reduce the impact on the environment by adjusting the structural form and material composition and using their bandgap characteristics to block vibrations in specific frequency bands.

[0003] The existing Chinese patent application document with the publication number CN110849747A discloses a railway roadbed active vibration reduction and isolation model test device, which is composed of a homogeneous foundation, a reference working condition test device and a plurality of comparative working condition test devices. The reference working condition test device includes an embankment, a rigid plate, a flexible cushion layer and an excitation system. The embankment is built on the homogeneous foundation in a scaled ratio; the rigid plate is placed on the top surface of the embankment; the flexible cushion layer is laid on the central area of ​​the top surface of the rigid plate; the excitation system is placed on the flexible cushion layer; a reference point is set on the rigid plate, and a plurality of test points are set on the foundation surface outside the reinforcement area. Acceleration vibration sensors are set at the reference points and the test points respectively for picking up acceleration time history data; the comparative working condition test device has the same structure as the reference working condition test device, and also includes a designated form model pile body constructed in the homogeneous foundation under the embankment. The device has a simple structure and good model test effect, and can compare and analyze the vibration reduction and isolation effects of different roadbed reinforcement measures.

[0004] The above scheme analyzes how to design the vibration isolation model test device and analyzes the vibration reduction effect under different conditions. However, the existing vibration isolation piles are mainly arranged at equal intervals. This method may not be effective at disconnected locations such as track joints because vibration at these locations cannot be effectively avoided. If the arrangement density of the vibration isolation piles is simply increased, although the vibration isolation effect can be improved, the construction cost will also increase. Summary of the invention

[0005] In order to solve the problem that the existing vibration isolation piles are mainly arranged at equal intervals, which results in ineffective vibration isolation and increased construction costs, the present invention provides solutions in the following aspects.

[0006] In the first aspect, a simulation and analysis method for the vibration reduction and isolation effect of a roadbed includes: obtaining acceleration information of vibration acceleration sensors on vibration isolation piles with equal spacing, obtaining frequency domain information of each vibration isolation pile, proposing an amplitude sequence based on the frequency domain information, performing anomaly detection on the amplitude sequence to obtain a corrected amplitude sequence, and calculating the autocorrelation coefficient of the corrected amplitude sequence; obtaining a preset time interval corresponding to the maximum value of the autocorrelation coefficient as a periodic period, and calculating the frequency domain gap coefficient of the preset spacing distance of the vibration isolation pile according to the periodic period, which is used to evaluate the vibration control effect of the vibration isolation pile within different spacing distances; constructing a mapping function between different spacing distances and the frequency domain gap coefficient, calculating the derivative of the mapping function and performing binary classification, and obtaining to the classification coefficient, take the interval distance corresponding to the maximum value of the classification coefficient as the optimal interval, calculate the frequency domain gap coefficient of the vibration isolation pile under the optimal interval as the coefficient threshold; take the vibration isolation pile with the closest vertical distance to the rail at the track joint as the central vibration isolation pile, and construct a central influence range with the central vibration isolation pile as the center and the coefficient threshold as the judgment standard; take the moment corresponding to the maximum point of the vibration amplitude of the central vibration isolation pile as the central moment, extract the vibration amplitude closest to the central moment in the maximum sequence of each vibration isolation pile in the central influence range, sort them according to the order of the vibration isolation piles, fit the maximum sequence, obtain the maximum curve between the vibration amplitude and the interval distance of the vibration isolation piles, and optimize the layout of the vibration isolation piles according to the maximum curve.

[0007] The effect is as follows: by acquiring the vibration acceleration sensor data on the vibration isolation pile and converting it into frequency domain information, the vibration reduction effect of the vibration isolation pile can be analyzed and evaluated more accurately; the amplitude sequence is detected and corrected for abnormalities to ensure the data quality of the analysis and avoid the influence of abnormal values ​​on the results; by calculating the autocorrelation coefficient and finding the time interval corresponding to its maximum value, the periodicity of the vibration isolation effect can be determined, and the frequency domain gap coefficient is calculated to evaluate the vibration control effect of the vibration isolation pile at different spacing distances; the central vibration isolation pile is determined and the central influence range is constructed, which helps to identify and optimize the key areas at the track joints and improve the vibration isolation effect; according to the maximum value curve and the central influence range, the layout of the vibration isolation piles is optimized; by determining the optimal spacing distance, the cost can be controlled while ensuring the vibration isolation effect, and the cost-effectiveness can be maximized.

[0008] Preferably, calculating the autocorrelation coefficient of the modified amplitude sequence includes:

[0009] Calculates amplitude values ​​between two preset time intervals in a sequence The autocorrelation coefficient between the subsequences , where the two subsequences are respectively Time to Subsequence of time And the time series Time to Subsequence of time ;

[0010] The covariance between the two subsequences and the ratio of the square roots of the sum of the variances of the two subsequences are calculated respectively as the autocorrelation coefficient of the amplitude sequence.

[0011] The effect is that the autocorrelation coefficient can help identify periodic patterns in time series. In the analysis of vibration isolation piles, this helps to determine the periodic characteristics of vibration. By calculating the autocorrelation coefficient at different time intervals, the autocorrelation of the time series at different time scales can be quantified. By analyzing the autocorrelation coefficient, it is easy to understand how propagation and attenuation occur between different vibration isolation piles. By optimizing the layout and design of vibration isolation piles, the analysis of the autocorrelation coefficient can help improve the overall vibration isolation effect and reduce the impact of vibration on the surrounding environment.

[0012] Preferably, calculating the frequency domain gap coefficient of the preset spacing distance of the vibration isolation piles includes:

[0013] Taking any moment as the target moment, the ratio between the minimum and maximum values ​​of the amplitude corresponding to the target moment in the vibration isolation pile is obtained, and the absolute value of the difference between the ratio and 1 is summed as the cumulative result of the amplitude difference of the vibration isolation piles with different intervals at the target moment to obtain the frequency domain gap coefficient.

[0014] The effect is that by comparing the vibration amplitudes of different vibration isolation piles at specific moments, the consistency of the vibration isolation effect at various locations can be evaluated; if the frequency domain gap coefficient is large, it indicates that the vibration amplitudes between different vibration isolation piles are significantly different, thereby determining which areas require a denser layout of vibration isolation piles to more effectively control vibration.

[0015] Preferably, constructing a mapping function of different interval distances and frequency domain gap coefficients, and calculating the derivative of the mapping function includes:

[0016] Obtain data of frequency domain gap coefficients at different interval distances, change the interval distance linearly, and obtain the frequency domain gap coefficient according to the interval distance;

[0017] The curve fitting tool is used to fit the data points of different interval distances and frequency domain gap coefficients, and a mapping function is constructed. The derivative value is calculated based on the mapping function to obtain the derivative sequence of the interval distance and the frequency domain gap coefficient.

[0018] The effect is as follows: by analyzing the derivative sequence, it is possible to determine at which interval distances the benefit of adding vibration isolation piles is the highest, which helps to find the best balance between cost and effect; the mapping function can be used to predict the vibration isolation effect at different interval distances, providing a mathematical model for the simulation and evaluation of the vibration isolation system; the size of the derivative sequence can reflect the sensitivity of the interval distance change to the frequency domain gap coefficient, which helps to identify sensitive parameters in the system.

[0019] Preferably, the classification coefficient includes:

[0020] According to the binary classification results, the derivative sequence of the mapping function is divided into two parts, the standard deviations of the two parts are calculated respectively, and the absolute value of the difference between the standard deviations of the two parts is used as the classification coefficient.

[0021] Preferably, the method for obtaining the center influence range is:

[0022] For each vibration isolation pile, record the vibration amplitude data of a train passing by, obtain the maximum value point in the vibration amplitude data, build a maximum value point sequence for each vibration isolation pile, add vibration isolation piles on both sides of the central vibration isolation pile, add a pair of vibration isolation piles on the left and right sides, and calculate the frequency domain gap coefficient between the adjacent vibration isolation piles on both sides of the central vibration isolation pile;

[0023] In response to the frequency domain gap coefficient being less than or equal to the coefficient threshold, the vibration isolation piles on both sides are within the influence range of the central vibration isolation pile, and the above steps are repeated. In response to the frequency domain gap coefficient of the added vibration isolation pile being greater than the coefficient threshold, the boundary of the central influence range is determined.

[0024] The effect is: by identifying and strengthening the vibration isolation piles within the central influence range, the overall vibration isolation efficiency can be improved and the impact of vibration on the surrounding environment can be reduced; excessive setting of vibration isolation piles outside the influence range can be avoided, thereby reducing material and construction costs and maximizing cost-effectiveness.

[0025] Preferably, the horizontal axis of the maximum value curve is the spacing distance between the vibration isolation piles corresponding to each vibration amplitude in the maximum value sequence, and the vertical axis is the vibration amplitude.

[0026] Preferably, optimizing the layout of vibration isolation piles according to the maximum value curve includes:

[0027] Add vibration isolation piles according to the horizontal axis positions corresponding to the midpoints of adjacent vibration amplitudes on the maximum value curve, and add the newly added vibration isolation piles to the central influence range, repeat the above steps, and complete the arrangement of the vibration isolation piles in response to the number of vibration isolation piles in the central influence range being less than or equal to the preset number or the new vibration isolation piles cannot be added.

[0028] In a second aspect, a roadbed vibration reduction and isolation effect simulation and analysis system includes: a processor and a memory, wherein the memory stores computer program instructions, and when the computer program instructions are executed by the processor, the above-mentioned roadbed vibration reduction and isolation effect simulation and analysis method is implemented.

[0029] The present invention has the following effects:

[0030] 1. The present invention helps to find a balance between vibration isolation effect and cost through the frequency domain gap coefficient. By reasonably setting the interval of the vibration isolation piles, the cost can be reduced while ensuring the vibration isolation effect. By comparing the frequency domain gap coefficients under different preset time intervals, the influence of different time intervals on the vibration isolation effect can be evaluated. When determining the optimal interval distance of the vibration isolation piles, the classification coefficient can be used to quantify the effect difference of different interval distance schemes.

[0031] 2. By analyzing the frequency domain difference coefficient of the vibration isolation piles on both sides of the central vibration isolation pile, the present invention can accurately determine which vibration isolation piles are significantly affected by the central vibration isolation pile, thereby defining the central influence range. After clarifying the central influence range, the layout of the vibration isolation piles can be optimized in a more targeted manner to ensure the vibration isolation effect in key areas while avoiding over-investment in areas with less impact. BRIEF DESCRIPTION OF THE DRAWINGS

[0032] By reading the following detailed description with reference to the accompanying drawings, the above and other objects, features and advantages of the exemplary embodiments of the present invention will become readily understood. In the accompanying drawings, several embodiments of the present invention are shown in an exemplary and non-limiting manner, and the same or corresponding reference numerals represent the same or corresponding parts, wherein:

[0033] Figure 1 It is a method flow chart of steps S1 to S5 in a method for simulating and analyzing the vibration reduction and isolation effect of a roadbed in an embodiment of the present invention.

[0034] Figure 2 It is a schematic diagram of the layout of vibration isolation piles and road surface in a method for simulating and analyzing the vibration reduction and isolation effect of a roadbed in an embodiment of the present invention.

[0035] Figure 3 It is a structural block diagram of a roadbed vibration reduction and isolation effect simulation analysis system according to an embodiment of the present invention. DETAILED DESCRIPTION

[0036] The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative work are within the scope of protection of the present invention.

[0037] The specific embodiments of the present invention are described in detail below with reference to the accompanying drawings.

[0038] Reference Figure 1 A method for simulating and analyzing the vibration reduction and isolation effect of a roadbed includes steps S1 to S5, which are specifically as follows:

[0039] S1: Obtain acceleration information of vibration acceleration sensors on vibration isolation piles with equal intervals, obtain frequency domain information of each vibration isolation pile, propose an amplitude sequence based on the frequency domain information, perform anomaly detection on the amplitude sequence, obtain a corrected amplitude sequence, and calculate the autocorrelation coefficient of the corrected amplitude sequence.

[0040] It should be noted that, refer to Figure 2 When the train passes, the house is affected by vibration. First, the vibration isolation piles are arranged at equal intervals on the parallel lines of the track. The vibration acceleration sensors installed on the vibration isolation piles obtain acceleration information. Secondly, the frequency domain information of each vibration isolation pile is obtained through Fourier transformation. The amplitude sequence is proposed from the frequency domain information. Finally, the amplitude sequence is eliminated for outliers, and the positions of the eliminated outliers are supplemented by differentials.

[0041] In this embodiment, an amplitude sequence is proposed based on the frequency domain information, and a Fourier transform method is used to perform Fourier transform on the time domain signal to convert it from the time domain to the frequency domain. This method is well known to those skilled in the art and will not be described in detail. Anomaly detection is performed on the amplitude sequence. When processing outliers in the frequency domain signal, a variety of methods can be used to identify and remove these outliers, such as: 3σ criterion (Layer's rule), quartiles and IQR (box plot), isolation forest method, etc. The detected outliers are deleted and replaced according to the average or median of the neighboring points, or estimated and replaced according to the local weighted regression or time series model.

[0042] Calculates amplitude values ​​between two preset time intervals in a sequence The autocorrelation coefficient between the subsequences , where the two subsequences are Time to Subsequence of time And the time series Time to Subsequence of time ;

[0043] The covariance between the two subsequences and the ratio of the square roots of the sum of the variances of the two subsequences are calculated respectively as the autocorrelation coefficient of the amplitude sequence.

[0044] Further explanation, in this embodiment, the autocorrelation coefficient is an indicator used in statistics to measure the correlation between the values ​​of the same variable at different time points; it is usually used in time series analysis to help analyze the interdependence between data points. The autocorrelation coefficient can reveal characteristics such as periodicity or trend in the time series. The autocorrelation coefficient is a well-known technology in the field and will not be described in detail.

[0045] Specifically, the autocorrelation coefficient satisfies the following relationship:

[0046] ;

[0047] In the formula, Indicates that the time interval in the new amplitude sequence is The autocorrelation coefficient of Indicates Time to A subsequence of moments, Indicates Time to A subsequence of moments, represents the covariance function, represents the variance function.

[0048] Further explanation: the covariance between the two subsequences reflects the common trend of the two subsequence values; the variance of the two subsequences is calculated to reflect the degree of fluctuation of the sequence values; the square root in the denominator is used to standardize the covariance to ensure that the value of the autocorrelation coefficient is within between.

[0049] S2: The preset time interval corresponding to the maximum value of the autocorrelation coefficient is obtained as a periodic period. According to the periodic period, the frequency domain gap coefficient of the preset spacing distance of the vibration isolation pile is calculated to evaluate the vibration control effect of the vibration isolation pile at different spacing distances.

[0050] Taking any moment as the target moment, the ratio between the minimum and maximum amplitudes of the vibration isolation piles at the target moment is obtained, and the absolute value of the difference between the ratio and 1 is summed as the cumulative result of the amplitude difference of the vibration isolation piles with different intervals at the target moment to obtain the frequency domain gap coefficient.

[0051] Specifically, the frequency domain gap coefficient satisfies the following relationship:

[0052] ;

[0053] In the formula, Indicates The frequency domain difference coefficient of the vibration isolation pile at the moment, Indicates the first vibration isolation pile The amplitude of the moment, Indicates Vibration isolation pile The amplitude of the moment, represents the minimum function, represents the maximum value function, Indicates the period of the cycle.

[0054] That is to say, get the The maximum and minimum amplitudes of all vibration isolation piles at the same moment are used to evaluate the consistency of the vibration isolation effect by comparing the amplitude differences of different vibration isolation piles at the same moment; the frequency domain gap coefficient The larger the value, the more obvious the difference in the effect of the vibration isolation piles is. The smaller the value, the more consistent the vibration isolation effect.

[0055] S3: Construct a mapping function between different interval distances and frequency domain gap coefficients, calculate the derivative of the mapping function and perform binary classification to obtain the classification coefficient, take the interval distance corresponding to the maximum value of the classification coefficient as the optimal interval, and calculate the frequency domain gap coefficient of the vibration isolation pile under the optimal interval as the coefficient threshold.

[0056] Obtain data of frequency domain gap coefficients at different interval distances, change the interval distance linearly, and obtain the frequency domain gap coefficient according to the interval distance;

[0057] The curve fitting tool is used to fit the data points of different interval distances and frequency domain gap coefficients, and a mapping function is constructed. The derivative value is calculated based on the mapping function to obtain the derivative sequence of the interval distance and the frequency domain gap coefficient.

[0058] It should be noted that in this embodiment, the interval distance is changed linearly to systematically change the interval distance between the vibration isolation piles to collect data at different intervals. This is usually done by gradually increasing or decreasing the distance between the vibration isolation piles. In this embodiment, MATLAB (a mathematical calculation software) is used. In MATLAB, polyfit, fit or other curve fitting functions can be used to fit a mapping function based on the collected data points of the interval distance and the frequency domain gap coefficient; in addition, statistical software Python can also be used for linear fitting.

[0059] To further illustrate, the derivative of the mapping function is calculated and classified into two categories to obtain the classification point, where the classification point is the marginal effect point of the interval distance and the frequency domain gap coefficient. The marginal effect point is a concept in economics and statistics, which is used to describe the change in the impact of one variable (such as policy, price, input, etc.) on another variable (such as utility, output, output, etc.) when an infinitesimal unit is increased. In the context of vibration isolation piles, the marginal effect point can be used to determine the marginal contribution to the vibration reduction effect when increasing the number of vibration isolation piles or changing their layout.

[0060] Classification coefficients include:

[0061] According to the binary classification results, the derivative sequence of the mapping function is divided into two parts, the standard deviations of the two parts are calculated respectively, and the absolute value of the difference between the standard deviations of the two parts is used as the classification coefficient.

[0062] Specifically, the classification coefficient satisfies the following relationship:

[0063] ;

[0064] In the formula, represents the classification coefficient, represents the first part of the derivative sequence, represents the latter part of the derivative sequence, Represents the standard deviation function.

[0065] That is, the classification coefficient The larger it is, the greater the change in the data on both sides of the effect marginal point is, which means that the difference in vibration isolation effect before and after the effect marginal point is significant.

[0066] If the classification coefficient It is smaller, which may mean that the marginal point of the effect is not very obvious, or that increasing the number of isolation piles has a more uniform effect on the frequency domain gap coefficient.

[0067] In addition, in another embodiment, the classification coefficient after binary classification of the derivative sequence is calculated by Otsu threshold method.

[0068] It is understandable that since the rails are disconnected at the track joints, the vibration amplitude generated when the train passes will also change drastically. If only the above-mentioned equal-interval arrangement method is used, the vibration isolation effect of the vibration isolation piles near the track joints will be poor. It is necessary to increase the number of vibration isolation piles at the corresponding positions and reduce the spacing between adjacent vibration isolation piles.

[0069] S4: The vibration isolation pile with the shortest vertical distance to the rail at the track joint is taken as the central vibration isolation pile, and a central influence range is constructed with the central vibration isolation pile as the center and the coefficient threshold as the judgment standard.

[0070] The method to obtain the center's influence range is:

[0071] For each vibration isolation pile, record the vibration amplitude data of a train passing by, obtain the maximum value point in the vibration amplitude data, build a maximum value point sequence for each vibration isolation pile, add vibration isolation piles on both sides of the central vibration isolation pile, and calculate the frequency domain gap coefficient between adjacent vibration isolation piles on both sides of the central vibration isolation pile after adding a pair of vibration isolation piles on the left and right sides;

[0072] In response to the frequency domain gap coefficient being less than or equal to the coefficient threshold, the vibration isolation piles on both sides are within the influence range of the central vibration isolation pile, and the above steps are repeated. In response to the frequency domain gap coefficient of the added vibration isolation pile being greater than the coefficient threshold, the boundary of the central influence range is determined.

[0073] S5: The time corresponding to the maximum point of the vibration amplitude of the central vibration isolation pile is taken as the central time, and the vibration amplitude closest to the central time in the maximum sequence of each vibration isolation pile in the central influence range is extracted, and the maximum sequence is fitted according to the order of the vibration isolation piles to obtain the maximum curve between the vibration amplitude and the spacing distance of the vibration isolation piles. According to the maximum curve, the layout of the vibration isolation piles is optimized.

[0074] Among them, the horizontal axis of the maximum value curve is the spacing distance of the vibration isolation piles corresponding to each vibration amplitude in the maximum value sequence, and the vertical axis is the vibration amplitude.

[0075] Add vibration isolation piles according to the horizontal axis positions corresponding to the midpoints of adjacent vibration amplitudes on the maximum value curve, and add the newly added vibration isolation piles to the central influence range, repeat the above steps, and complete the arrangement of the vibration isolation piles in response to the number of vibration isolation piles in the central influence range being less than or equal to the preset number or the new vibration isolation piles cannot be added.

[0076] It should be noted that, in this embodiment, the preset number is 3.

[0077] The present invention also provides a roadbed vibration reduction and isolation effect simulation analysis system. Figure 3 As shown, the system includes a processor and a memory, the memory stores computer program instructions, and when the computer program instructions are executed by the processor, a method for simulating and analyzing the vibration reduction and isolation effect of a roadbed according to the first aspect of the present invention is implemented.

[0078] The system also includes other components familiar to those skilled in the art, such as a communication bus and a communication interface. The configuration and functions of these components are known in the art and will not be described in detail here.

[0079] In the present invention, the aforementioned memory may be any tangible medium containing or storing a program that can be used by or in combination with an instruction execution system, apparatus or device. For example, a computer-readable storage medium may be any appropriate magnetic storage medium or magneto-optical storage medium, such as a resistive random access memory RRAM (Resistive Random Access Memory), a dynamic random access memory DRAM (Dynamic Random Access Memory), a static random access memory SRAM (Static Random-Access Memory), an enhanced dynamic random access memory EDRAM (Enhanced Dynamic Random Access Memory), a high-bandwidth memory HBM (High-Bandwidth Memory), a hybrid memory cube HMC (Hybrid Memory Cube), etc., or any other medium that can be used to store the required information and can be accessed by an application, a module, or both. Any such computer storage medium may be part of a device or accessible or connectable to a device. Any application or module described in the present invention may be implemented using computer-readable / executable instructions that may be stored or otherwise maintained by such a computer-readable medium.

[0080] In the description of this specification, "plurality" or "several" means at least two, such as two, three or more, etc., unless otherwise clearly and specifically defined.

[0081] Although this specification has shown and described a number of embodiments of the present invention, it will be apparent to those skilled in the art that such embodiments are provided by way of example only. Those skilled in the art will conceive of many modifications, changes and alternatives without departing from the ideas and spirit of the present invention. It should be understood that in the practice of the present invention, various alternatives to the embodiments of the present invention described herein may be employed.

Claims

1. A method for simulating and analyzing the vibration reduction and isolation effect of roadbed, characterized in that: include: Acquire acceleration information of vibration acceleration sensors on vibration isolation piles at equal intervals, acquire frequency domain information of each vibration isolation pile, propose an amplitude sequence based on the frequency domain information, perform anomaly detection on the amplitude sequence, obtain a corrected amplitude sequence, and calculate the autocorrelation coefficient of the corrected amplitude sequence; The preset time interval corresponding to the maximum value of the autocorrelation coefficient is obtained as a periodic period, and the frequency domain gap coefficient of the preset spacing distance of the vibration isolation pile is calculated according to the periodic period to evaluate the vibration control effect of the vibration isolation pile at different spacing distances, including: Taking any moment as the target moment, obtaining the ratio between the minimum value and the maximum value of the amplitude corresponding to the target moment in the vibration isolation pile, summing the absolute value of the difference between the ratio and 1 as the cumulative result of the amplitude difference of the vibration isolation piles at different intervals at the target moment, and obtaining the frequency domain gap coefficient; Constructing a mapping function between different interval distances and frequency domain gap coefficients, calculating the derivative of the mapping function and performing binary classification to obtain a classification coefficient, taking the interval distance corresponding to the maximum value of the classification coefficient as the optimal interval, and calculating the frequency domain gap coefficient of the vibration isolation pile under the optimal interval as the coefficient threshold; The vibration isolation pile with the closest vertical distance to the rail at the track joint is taken as the central vibration isolation pile, and the central influence range is constructed with the central vibration isolation pile as the center and the coefficient threshold as the judgment standard. The acquisition method is: For each vibration isolation pile, record the vibration amplitude data of a train passing by, obtain the maximum value point in the vibration amplitude data, build a maximum value point sequence for each vibration isolation pile, add vibration isolation piles on both sides of the central vibration isolation pile, add a pair of vibration isolation piles on the left and right sides, and calculate the frequency domain gap coefficient between the adjacent vibration isolation piles on both sides of the central vibration isolation pile; In response to the frequency domain gap coefficient being less than or equal to the coefficient threshold, the vibration isolation piles on both sides are piles within the influence range of the central vibration isolation pile, and the steps in the above method for obtaining the central influence range are repeated. In response to the frequency domain gap coefficient of the added vibration isolation pile being greater than the coefficient threshold, the boundary of the central influence range is determined; The time corresponding to the maximum point of the vibration amplitude of the central vibration isolation pile is taken as the central time, and the vibration amplitude closest to the central time in the maximum sequence of each vibration isolation pile in the central influence range is extracted. The vibration isolation piles are sorted in order, and the maximum sequence is fitted to obtain the maximum curve between the vibration amplitude and the spacing distance of the vibration isolation piles. According to the maximum curve, the layout of the vibration isolation piles is optimized.

2. A method for simulating and analyzing the vibration reduction and isolation effect of roadbed according to claim 1, characterized in that: Calculate the autocorrelation coefficient of the corrected amplitude sequence, including: Calculates amplitude values ​​between two preset time intervals in a sequence The autocorrelation coefficient between the subsequences , where the two subsequences are respectively Time to Subsequence of time And the time series Time to Subsequence of time ; The covariance between the two subsequences and the ratio of the square roots of the sum of the variances of the two subsequences are calculated respectively as the autocorrelation coefficient of the amplitude sequence.

3. A method for simulating and analyzing the vibration reduction and isolation effect of roadbed according to claim 1, characterized in that: Constructing mapping functions of different interval distances and frequency domain gap coefficients, and calculating the derivative of the mapping function, including: Obtain data of frequency domain gap coefficients at different interval distances, change the interval distance linearly, and obtain the frequency domain gap coefficient according to the interval distance; The curve fitting tool is used to fit the data points of different interval distances and frequency domain gap coefficients, and a mapping function is constructed. The derivative value is calculated based on the mapping function to obtain the derivative sequence of the interval distance and the frequency domain gap coefficient.

4. A method for simulating and analyzing roadbed vibration reduction and isolation effect according to claim 1, characterized in that: The classification coefficients include: According to the binary classification results, the derivative sequence of the mapping function is divided into two parts, the standard deviations of the two parts are calculated respectively, and the absolute value of the difference between the standard deviations of the two parts is used as the classification coefficient.

5. The method for simulating and analyzing the vibration reduction and isolation effect of roadbed according to claim 1 is characterized in that: in, The horizontal axis of the maximum value curve is the spacing distance between the vibration isolation piles corresponding to each vibration amplitude in the maximum value sequence, and the vertical axis is the vibration amplitude.

6. A method for simulating and analyzing roadbed vibration reduction and isolation effect according to claim 1, characterized in that: According to the maximum value curve, the layout of vibration isolation piles is optimized, including: Add vibration isolation piles according to the horizontal axis positions corresponding to the midpoints of adjacent vibration amplitudes on the maximum value curve, and add the newly added vibration isolation piles to the central influence range, repeat the above steps, and complete the arrangement of the vibration isolation piles in response to the number of vibration isolation piles in the central influence range being less than or equal to the preset number or the new vibration isolation piles cannot be added.

7. A roadbed vibration reduction and isolation effect simulation and analysis system, characterized in that: include: A processor and a memory, wherein the memory stores computer program instructions, and when the computer program instructions are executed by the processor, the method for simulating and analyzing the vibration reduction and isolation effect of the roadbed according to any one of claims 1 to 6 is implemented.

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