Floating slab ballast bed connection rigidity and vibration inertia identification method
By applying vibration conditions in different directions on the floating plate bed and collecting vibration signals, calculating its connection stiffness and parametric inertia, the problem that traditional methods are difficult to identify these parameters is solved, and accurate parameter identification and preventive maintenance are achieved.
Patent Information
- Application Number
- CN202510308552.7
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-03-17
- Publication Date
- 2025-04-15
- Estimated Expiration
- 2045-03-17
AI Technical Summary
Traditional methods are difficult to truly reflect the complex boundary effects and dynamic characteristics of the service environment of floating plate beds under installation conditions, resulting in degradation of connection stiffness and abnormal vibration inertia anomalies.
By applying vibration conditions in different directions, the vibration signals of the floating plate bed are collected, the vibration period is calculated, and the connection stiffness and parametric inertia are calculated using formulas.
It realizes the accurate identification of the connection stiffness and vibration inertia of the floating plate bed under on-site conditions, provides scientific basis for preventive maintenance, and avoids major safety accidents.
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Figure CN119827088A_ABST
Abstract
Description
Technical Field
[0001] The invention belongs to the technical field of railway engineering, and in particular relates to a method for identifying connection stiffness and parametric inertia of a floating slab track bed. Background Art
[0002] Railway floating slab ballast is a key vibration and noise reduction structure in high-speed railways and urban rail transit. Its connection stiffness and parametric inertia are the core parameters that affect the system's dynamic performance. Traditional methods are mostly based on laboratory simulations or theoretical simplified models, which are difficult to truly reflect the complex boundary effects under installation conditions and the dynamic characteristics of the service environment. Connection stiffness degradation and parametric inertia anomalies (such as ballast cavitation and mass distribution changes) are the main causes of track structure failure.
[0003] By obtaining parameters through on-site tests, the health status of the track bed can be quantitatively evaluated and early hidden damage (such as microcracks and local debonding) can be identified, providing a scientific basis for preventive maintenance decisions and avoiding major safety accidents. A virtual model that is highly consistent with the actual service status can be established to simulate train-track coupling vibration and predict long-term performance evolution, and provide an algorithmic basis for "condition-based maintenance" and "predictive maintenance", promoting the transformation and upgrading of rail transit to intelligence and digitalization. Summary of the invention
[0004] In order to solve the above problems existing in the prior art, the present invention provides a method for identifying the connection stiffness and parametric inertia of a floating slab track bed.
[0005] The present invention adopts the following technical solutions: A method for identifying connection stiffness and parametric inertia of a floating slab track bed comprises the following steps: S1, determine the dynamic parameters, number of connection nodes, and number of support springs of the floating slab track bed; S2, the condition of applying the vibration of the floating slab ballast; S3, collecting vibration signals of the floating slab ballast bed; S4, calculate the vibration period; S5. Calculate the floating slab track bed connection stiffness and reference inertia according to the formula.
[0006] In the above technical solution, the step S2 includes the following steps: S21, applying vertical vibration condition of floating slab ballast; S22, apply floating slab ballast around x Vibration conditions of shaft rotation; S23, apply floating slab ballast around y Vibration condition of shaft rotation.
[0007] In the above technical solution, in step S21, a vertical vibration condition is applied to the floating slab ballast bed, and four lifting machines are used to lift the floating slab ballast bed as a whole horizontally to a certain height and drop it at the same time, at which time the floating slab ballast bed undergoes a vertical vibration condition.
[0008] In the above technical solution, in step S22, the floating plate ballast is applied around x In the vibration condition of shaft rotation, two lifting machines are used to lift one end (front or rear) of the floating slab ballast to a certain height and then drop it at the same time. x Vibration condition of shaft rotation.
[0009] In the above technical solution, in step S23, the floating plate ballast is applied around y In the vibration condition of shaft rotation, two lifting machines are used to lift one end (left or right) of the floating slab ballast to a certain height and then drop it at the same time. y Vibration condition of shaft rotation.
[0010] In the above technical solution, in the steps S21, S22 and S23, the lifting machine lifts the floating slab track bed to a certain height, generally 5 to 50 mm.
[0011] In the above technical solution, step S3 includes: S31, collecting vertical vibration signals of the floating slab track bed; S32, collecting floating slab ballast around x Vibration signal of shaft rotation; S33, collecting floating slab ballast around y Vibration signal of shaft rotation.
[0012] In the above technical solution, in step S3, the sampling interval for collecting the vibration signal of the floating plate track bed is generally less than 10 -3 Second.
[0013] In the above technical solution, in step S4, the calculation formula of the vertical vibration period of the floating plate track bed is: ; In the formula, is the vertical vibration period of the floating slab ballast, The vertical vibration signal of the floating slab track bed i Peak moments, n is the peak number.
[0014] In the above technical solution, in step S4, the floating plate track bed is wound around x The calculation formula for the vibration period of shaft rotation is: ; In the formula, For floating slab roadbed x The vibration period of the shaft rotation, For floating slab roadbed x The vibration signal of the shaft rotation i Peak moments, n is the peak number.
[0015] In the above technical solution, in step S4, the floating plate track bed is wound around y The calculation formula for the vibration period of shaft rotation is: ; In the formula, For floating slab roadbed y The vibration period of the shaft rotation, For floating slab roadbed y The vibration signal of the shaft rotation i Peak moments, n is the peak number.
[0016] In the above technical solution, step S5 includes the following steps: S51, identification method of connection stiffness and parametric inertia of floating slab ballast with different support springs; S52, identification method of connection stiffness and parametric inertia of floating slab trackbed at different connection nodes; S53, identification method of connection stiffness and parametric inertia of floating slab track bed with different support springs and different connection nodes.
[0017] In the above technical solution, in step S51, the connection stiffness calculation formula of the floating plate track bed with different support springs is: ; In the formula, is the connection stiffness, is the mass of the floating short board, To support the stiffness of the isolator, is the vertical vibration period of the floating short plate, i Group, 4 support springs in each group.
[0018] In the above technical solution, in step S51, different support springs are used to surround the floating plate track bed. x The calculation formula of the parametric inertia of shaft rotation is: ; In the formula, For floating short board x The moment of inertia of the shaft rotation, is the connection stiffness, To support the stiffness of the isolator, ais the lateral distance parameter, For floating short board x The vibration period of the shaft rotation, i Group, 4 support springs in each group.
[0019] In the above technical solution, in step S51, different support springs are used to surround the floating plate track bed. y The calculation formula of the parametric inertia of shaft rotation is: ; In the formula, For floating short board y The moment of inertia of the shaft rotation, is the connection stiffness, To support the stiffness of the isolator, b i is the longitudinal distance parameter, For floating short board y The vibration period of the shaft rotation, i Group, 4 support springs in each group.
[0020] In the above technical solution, in step S51, the method for identifying connection stiffness and parametric inertia of floating slab track bed with different support springs is applicable to the condition of 4 connection nodes and multiple support springs.
[0021] In the above technical solution, in step S52, the connection stiffness calculation formula of the floating slab track bed at different connection nodes is: ; In the formula, is the connection stiffness, is the mass of the floating short board, To support the stiffness of the isolator, is the vertical vibration period of the floating short plate, j groups, each with 4 connected nodes.
[0022] In the above technical solution, in step S52, different connection nodes, floating plate track bed around x The calculation formula of the parametric inertia of shaft rotation is: ; In the formula, For floating short board x The moment of inertia of the shaft rotation, is the connection stiffness, To support the stiffness of the isolator, a i is the lateral distance parameter, For floating short board x The vibration period of the shaft rotation, j groups, each with 4 connected nodes.
[0023] In the above technical solution, in step S52, different connection nodes, floating plate track bed around y The calculation formula of the parametric inertia of shaft rotation is: ; In the formula, For floating short board y The moment of inertia of the shaft rotation, is the connection stiffness, To support the stiffness of the isolator, b 1. b 2 is the longitudinal distance parameter, For floating short board y The vibration period of the shaft rotation, j groups, each with 4 connected nodes.
[0024] In the above technical solution, in step S52, the method for identifying the connection stiffness and parametric inertia of the floating slab track bed at different connection nodes is applicable to the condition of 4 supporting springs and multiple connection nodes.
[0025] In the above technical solution, in step S53, the connection stiffness calculation formula of the floating slab track bed between different support springs and different connection nodes is: ; In the formula, is the connection stiffness, is the mass of the floating short board, To support the stiffness of the isolator, is the vertical vibration period of the floating short plate, i Group, 4 support springs per group, j groups, each with 4 connected nodes.
[0026] In the above technical solution, in step S53, different support springs and different connection nodes are connected to the floating plate track bed. x The calculation formula of the parametric inertia of shaft rotation is: ; In the formula, For floating short board x The moment of inertia of the shaft rotation, is the connection stiffness, To support the stiffness of the isolator, a i is the lateral distance parameter, For floating short board x The vibration period of the shaft rotation, i Group, 4 support springs per group, j groups, each with 4 connected nodes.
[0027] In the above technical solution, in step S53, different support springs and different connection nodes are connected to the floating plate track bed. y The calculation formula of the parametric inertia of shaft rotation is: ; In the formula, For floating short board y The moment of inertia of the shaft rotation, is the connection stiffness, To support the stiffness of the isolator, b i is the longitudinal distance parameter, For floating short board y The vibration period of the shaft rotation, i Group, 4 support springs per group, j groups, each with 4 connected nodes.
[0028] In the above technical solution, in step S53, the method for identifying the connection stiffness and parametric inertia of the floating slab track bed with different support springs and different connection nodes is applicable to the conditions of multiple support springs and multiple connection nodes.
[0029] The second inventive object of the present invention is to provide a computer device, which includes a memory and a processor, wherein the memory stores a computer program, and when the computer program is executed by the processor, the processor executes the above-mentioned method for identifying the connection stiffness and parametric inertia of a floating slab track bed.
[0030] Combining all the above technical solutions, the advantages and positive effects of the present invention are as follows: 1. The present invention proposes a new method for obtaining the parametric inertia of a floating slab track bed, which can improve the theoretical system of dynamic analysis of the floating slab track bed and provide new ideas and methods for related research.
[0031] 2. The method proposed in the present invention can accurately calculate the connection stiffness and parametric inertia of the floating slab track bed in the installed state, and the implementation conditions are simple, which is conducive to the vibration optimization design work of engineering and technical personnel.
[0032] 3. The connection stiffness directly affects the vibration transmission path and energy dissipation efficiency of the track structure, while the parametric inertia determines the resonant frequency and dynamic response amplitude of the system. The present invention can achieve accurate acquisition of the two parameters, optimize the vibration reduction design of the floating plate track bed, avoid the resonance amplification effect caused by parameter mismatch, reduce the risks of track plate cracking, fastener failure, etc., and extend the service life of the structure.
[0033] 4. Connection stiffness and parametric inertia are the core input parameters for building a digital twin model of the track structure. The present invention obtains high-precision data through field tests, and can establish a virtual model that is highly consistent with the actual service status, which is used to simulate train-track coupling vibration, predict long-term performance evolution, and provide an algorithmic basis for "condition repair" and "predictive repair", promoting the transformation and upgrading of rail transit to intelligence and digitalization.
[0034] In addition, the following important aspects are also provided as auxiliary evidence of the inventiveness of the present invention: 1. Existing methods rely on laboratory environments or assume ideal boundary conditions. However, the floating slab track bed in actual installation is affected by factors such as construction errors, foundation settlement, ambient temperature and humidity, and the dynamic characteristics of parameters deviate significantly from the design values. The development of parameter inversion technology based on field vibration response can break through the limitations of traditional static testing, realize "in-situ diagnosis" of dynamic parameters in service status, provide reliable data support for engineering practice, and fill the technical gap in the industry at home and abroad.
[0035] 2. Degradation of connection stiffness (such as aging of bearings and loose bolts) and abnormal parametric inertia (such as hollowing of the ballast and changes in mass distribution) are the main causes of track structure failure. Regularly obtaining these two parameters through field tests can quantitatively evaluate the health status of the ballast and identify early hidden damage (such as microcracks and local debonding), providing a scientific basis for preventive maintenance decisions and avoiding major safety accidents. BRIEF DESCRIPTION OF THE DRAWINGS
[0036] The accompanying drawings herein are incorporated in and constitute a part of the specification, illustrate embodiments consistent with the present disclosure, and together with the description, serve to explain the principles of the present disclosure; Figure 1 It is a flow chart of a method for identifying connection stiffness and parametric inertia of a floating slab track bed according to the present invention; Figure 2 It is a schematic diagram of the vertical vibration condition of the floating slab ballast; Figure 3 To apply floating slab ballast around x Schematic diagram of the vibration condition of shaft rotation; Figure 4 To apply floating slab ballast around y Schematic diagram of the vibration condition of shaft rotation; Figure 5 Schematic diagram of the coupled vibration model of the floating slab ballast under different support spring conditions; Figure 6 It is the vertical vibration signal of the floating slab roadbed under different supporting spring conditions; Figure 7 The floating slab track under different support spring conditions x Vibration signal of shaft rotation; Figure 8 The floating slab track under different support spring conditions y Vibration signal of shaft rotation; Fig. 9 Schematic diagram of the coupled vibration model of the floating slab ballast under different connection node conditions; Fig.10 It is the vertical vibration signal of the floating slab roadbed under different connection node conditions; Fig.11 The floating slab ballast bypass under different connection node conditions is shown in Figure 2. x Vibration signal of shaft rotation; Fig.12 The floating slab ballast bypass under different connection node conditions is shown in Figure 2. y Vibration signal of shaft rotation; Fig.13 It is a schematic diagram of the coupled vibration model of the floating slab track bed under different support springs and different connection node conditions; Fig.14 It is the vertical vibration signal of the floating slab roadbed under different support springs and different connection node conditions; Fig.15 The floating slab track bed with different support springs and different connection nodes is shown in Figure 2. x Vibration signal of shaft rotation; Fig.16 The floating slab track bed with different support springs and different connection nodes is shown in Figure 2. y Vibration signal of shaft rotation. DETAILED DESCRIPTION
[0037] In order to make the above-mentioned objects, features and advantages of the present invention more obvious and easy to understand, the specific embodiments of the present invention are described in detail below in conjunction with the accompanying drawings. In the following description, many specific details are set forth to facilitate a full understanding of the present invention. However, the present invention can be implemented in many other ways different from those described herein, and those skilled in the art can make similar improvements without violating the connotation of the present invention, so the present invention is not limited by the specific implementation disclosed below.
[0038] The present invention is further described in detail below in conjunction with specific embodiments. It should be understood that the specific embodiments described herein are only used to explain the present invention and are not used to limit the present invention. Example
[0039] The present invention proposes a method for identifying the connection stiffness and parametric inertia of a floating slab track bed. This embodiment is applicable to the case where there are multiple support springs with four connection nodes, such as Figure 5 As shown, the following steps are included: S1, determine the dynamic parameters, number of connection nodes, and number of support springs of the floating slab track bed; In this embodiment, the quality of the floating slab track bed m =10000kg, support isolator stiffness k h =6000000N / m, lateral distance parameter a =3m, longitudinal distance parameter b 1=3.6m, b 2=1.8m, 4 connection nodes, 2 groups of 8 support springs.
[0040] S2, the condition of applying the vibration of the floating slab ballast; S21, applying the vertical vibration condition of the floating slab ballast, such as Figure 2 As shown, four lifting machines are used to lift the floating slab track bed to a certain height as a whole, and then drop it down at the same time. At this time, the floating slab track bed undergoes vertical vibration. In this embodiment, the lifting machine lifts the floating slab track bed to a height of 10 mm; S22, apply floating slab ballast around x Vibration conditions of shaft rotation, such as Figure 3 As shown in the figure, two lifting machines are used to lift one end (front or rear) of the floating slab track bed to a certain height and then drop it at the same time. x Vibration condition of shaft rotation. In this embodiment, the lifting machine lifts the floating slab ballast to a height of 10 mm; S23, apply floating slab ballast around y Vibration conditions of shaft rotation, such as Figure 4 As shown in the figure, two lifting machines are used to lift one end (left or right) of the floating slab track bed to a certain height and then drop it at the same time. y Vibration condition of shaft rotation. In this embodiment, the lifting machine lifts the floating slab ballast to a height of 10 mm; S3, collecting vibration signals of the floating slab ballast bed; Collect vertical vibration signals of floating slab ballast, such as Figure 6 As shown, in this embodiment, the sampling interval is 10 -6 Second; Collect floating slab ballast around x The vibration signal of shaft rotation, such as Figure 7 As shown, in this embodiment, the sampling interval is 10 -6 Second.
[0041] Collect floating slab ballast around y The vibration signal of shaft rotation, such as Figure 8 As shown, in this embodiment, the sampling interval is 10 -6 Second.
[0042] S4, calculate the vibration period; The calculation formula for the vertical vibration period of the floating slab ballast is: ; In the formula, is the vertical vibration period of the floating slab ballast, The vertical vibration signal of the floating slab track bed i Peak moments, n is the peak number.
[0043] In this embodiment, the vibration period = 0.010404 sec.
[0044] Floating slab roadbed x The calculation formula for the vibration period of shaft rotation is: ; In the formula, For floating slab roadbed x The vibration period of the shaft rotation, For floating slab roadbed x The vibration signal of the shaft rotation i Peak moments, n is the peak number.
[0045] In this embodiment, the vibration period = 0.008208 sec.
[0046] Floating slab roadbed y The calculation formula for the vibration period of shaft rotation is: ; In the formula, For floating slab roadbed y The vibration period of the shaft rotation, For floating slab roadbed y The vibration signal of the shaft rotation i Peak moments, n is the peak number.
[0047] In this embodiment, the vibration period = 0.009343 sec.
[0048] S5, calculating the connection stiffness and parametric inertia of the floating slab ballast bed according to the formula; The calculation formula for the connection stiffness of the floating slab track bed with different support springs is: ; In the formula, is the connection stiffness, is the quality of the floating slab ballast bed, To support the stiffness of the isolator, is the vertical vibration period of the floating slab ballast, i = 2.
[0049] In this embodiment, the connection stiffness of the floating slab track bed is calculated as follows: = 899798888 N / m, the actual value is 900000000 N / m. Comparing the calculated result with the actual value, the error is 0.0223%, which proves that this method has high accuracy.
[0050] Different support springs, floating slab track bed x The calculation formula of the parametric inertia of shaft rotation is: ; In the formula, For floating slab roadbed x The moment of inertia of the shaft rotation, is the connection stiffness, To support the stiffness of the isolator, a is the lateral distance parameter, For floating slab roadbed x The vibration period of the shaft rotation, i = 2.
[0051] In this embodiment, the floating plate track bed is x Parametric inertia of shaft rotation = 14004.14 kg·m 2 , the actual value is 14000 kg·m 2 ,Comparing the calculated results with the actual values, the error is 0.0296%, which proves that this method has high accuracy.
[0052] Different support springs, floating slab track bed y The calculation formula of the parametric inertia of shaft rotation is: ; In the formula, For floating slab roadbed y The moment of inertia of the shaft rotation, is the connection stiffness, To support the stiffness of the isolator, b 1. b 2 is the longitudinal distance parameter, For floating slab roadbed y The vibration period of the shaft rotation, i = 2.
[0053] In this embodiment, the floating plate track bed is y Parametric inertia of shaft rotation = 25999.70 kg·m 2 , the actual value is 26000 kg·m 2,Comparing the calculated results with the actual values, the error is 0.0012%, which proves that this method has high accuracy. Example
[0054] The present invention proposes a method for identifying the connection stiffness and parametric inertia of a floating slab track bed. This embodiment is applicable to the case where there are four support springs and multiple connection nodes. Fig. 9 As shown, the following steps are included: S1, determine the dynamic parameters, number of connection nodes, and number of support springs of the floating slab track bed; In this embodiment, the quality of the floating slab track bed m =10000kg, support isolator stiffness k h =6000000N / m, lateral distance parameter a 1=3m, a 2=1.5m, longitudinal distance parameter b =3.6m, 4 supporting springs, 2 groups of 8 connection nodes.
[0055] S2, the condition of applying the vibration of the floating slab ballast; S21, applying the vertical vibration condition of the floating slab ballast, such as Figure 2 As shown, four lifting machines are used to lift the floating slab track bed to a certain height as a whole, and then drop it down at the same time. At this time, the floating slab track bed undergoes vertical vibration. In this embodiment, the lifting machine lifts the floating slab track bed to a height of 10 mm; S22, apply floating slab ballast around x Vibration conditions of shaft rotation, such as Figure 3 As shown in the figure, two lifting machines are used to lift one end (front or rear) of the floating slab track bed to a certain height and then drop it at the same time. x Vibration condition of shaft rotation. In this embodiment, the lifting machine lifts the floating slab ballast to a height of 10 mm; S23, apply floating slab ballast around y Vibration conditions of shaft rotation, such as Figure 4 As shown in the figure, two lifting machines are used to lift one end (left or right) of the floating slab track bed to a certain height and then drop it at the same time. y Vibration condition of shaft rotation. In this embodiment, the lifting machine lifts the floating slab ballast to a height of 10 mm; S3, collecting vibration signals of the floating slab ballast bed; Collect vertical vibration signals of floating slab ballast, such as Fig.10 As shown, in this embodiment, the sampling interval is 10 -6 Second; Collect floating slab ballast around x The vibration signal of shaft rotation, such as Fig.11As shown, in this embodiment, the sampling interval is 10 -6 Second.
[0056] Collect floating slab ballast around y The vibration signal of shaft rotation, such as Fig.12 As shown, in this embodiment, the sampling interval is 10 -6 Second.
[0057] S4, calculate the vibration period; The calculation formula for the vertical vibration period of the floating slab ballast is: ; In the formula, is the vertical vibration period of the floating slab ballast, The vertical vibration signal of the floating slab track bed i Peak moments, n is the peak number.
[0058] In this embodiment, the vibration period = 0.007393 seconds.
[0059] Floating slab roadbed x The calculation formula for the vibration period of shaft rotation is: ; In the formula, For floating slab roadbed x The vibration period of the shaft rotation, For floating slab roadbed x The vibration signal of the shaft rotation i Peak moments, n is the peak number.
[0060] In this embodiment, the vibration period = 0.007369 sec.
[0061] Floating slab roadbed y The calculation formula for the vibration period of shaft rotation is: ; In the formula, For floating slab roadbed y The vibration period of the shaft rotation, For floating slab roadbed y The vibration signal of the shaft rotation i Peak moments, n is the peak number.
[0062] In this embodiment, the vibration period = 0.006622 sec.
[0063] S5, calculating the connection stiffness and parametric inertia of the floating slab ballast bed according to the formula; The calculation formula for the connection stiffness of the floating slab track bed at different connection nodes is: ; In the formula, is the connection stiffness, is the quality of the floating slab ballast bed, To support the stiffness of the isolator, is the vertical vibration period of the floating slab ballast, j = 2.
[0064] In this embodiment, the connection stiffness of the floating slab track bed is calculated as follows: = 899876475 N / m, the actual value is 900000000 N / m. Comparing the calculated result with the actual value, the error is 0.0137%, which proves that this method has high accuracy.
[0065] Different connection nodes, floating slab track bed around x The calculation formula of the parametric inertia of shaft rotation is:
[0066] In the formula, For floating slab roadbed x The moment of inertia of the shaft rotation, is the connection stiffness, To support the stiffness of the isolator, a is the lateral distance parameter, For floating slab roadbed x The vibration period of the shaft rotation, j = 2.
[0067] In this embodiment, the floating short board is wound around x Parametric inertia of shaft rotation = 13999.20 kg·m 2 , the actual value is 14000 kg·m 2 ,Comparing the calculated results with the actual values, the error is 0.0057%, which proves that this method has high accuracy.
[0068] Different connection nodes, floating slab track bed around y The calculation formula of the parametric inertia of shaft rotation is: ; In the formula, Floating slab roadbed y The moment of inertia of the shaft rotation, is the connection stiffness, To support the stiffness of the isolator, b 1.b 2 is the longitudinal distance parameter, For floating slab roadbed y The vibration period of the shaft rotation, j = 2.
[0069] In this embodiment, the floating short board is wound around y Parametric inertia of shaft rotation = 25994.53 kg·m 2 , the actual value is 26000 kg·m 2 ,Comparing the calculated results with the actual values, the error is 0.0210%, which proves that this method has high accuracy. Example
[0070] The present invention proposes a method for identifying the connection stiffness and parametric inertia of a floating plate track bed. This embodiment is applicable to the case where multiple support springs and multiple connection nodes are present. Fig.13 As shown, the following steps are included: S1, determine the dynamic parameters, number of connection nodes, and number of support springs of the floating slab track bed; In this embodiment, the quality of the floating slab track bed m =10000kg, support isolator stiffness k h =6000000N / m, lateral distance parameter a 1=3m, a 2=1.5m, longitudinal distance parameter b 1=3.6m, b 2=1.8m, 2 groups of 8 support springs, 2 groups of 8 connection nodes.
[0071] S2, the condition of applying the vibration of the floating slab ballast; S21, applying the vertical vibration condition of the floating slab ballast, such as Figure 2 As shown, four lifting machines are used to lift the floating slab track bed to a certain height as a whole, and then drop it down at the same time. At this time, the floating slab track bed undergoes vertical vibration. In this embodiment, the lifting machine lifts the floating slab track bed to a height of 10 mm; S22, apply floating slab ballast around x Vibration conditions of shaft rotation, such as Figure 3 As shown in the figure, two lifting machines are used to lift one end (front or rear) of the floating slab track bed to a certain height and then drop it at the same time. x Vibration condition of shaft rotation. In this embodiment, the lifting machine lifts the floating slab ballast to a height of 10 mm; S23, apply floating slab ballast around y Vibration conditions of shaft rotation, such as Figure 4As shown in the figure, two lifting machines are used to lift one end (left or right) of the floating slab track bed to a certain height and then drop it at the same time. y Vibration condition of shaft rotation. In this embodiment, the lifting machine lifts the floating slab ballast to a height of 10 mm; S3, collecting vibration signals of the floating slab ballast bed; Collect vertical vibration signals of floating slab ballast, such as Fig.14 As shown, in this embodiment, the sampling interval is 10 -6 Second; Collect floating slab ballast around x The vibration signal of shaft rotation, such as Fig.15 As shown, in this embodiment, the sampling interval is 10 -6 Second.
[0072] Collect floating slab ballast around y The vibration signal of shaft rotation, such as Fig.16 As shown, in this embodiment, the sampling interval is 10 -6 Second.
[0073] S4, calculate the vibration period; The calculation formula for the vertical vibration period of the floating slab ballast is:
[0074] In the formula, is the vertical vibration period of the floating slab ballast, The vertical vibration signal of the floating slab track bed i Peak moments, n is the peak number.
[0075] In this embodiment, the vibration period = 0.007381 sec.
[0076] Floating slab roadbed x The calculation formula for the vibration period of shaft rotation is:
[0077] In the formula, For floating slab roadbed x The vibration period of the shaft rotation, For floating slab roadbed x The vibration signal of the shaft rotation i Peak moments, n is the peak number.
[0078] In this embodiment, the vibration period = 0.007351 sec.
[0079] Floating slab roadbedy The calculation formula for the vibration period of shaft rotation is: ; In the formula, For floating slab roadbed y The vibration period of the shaft rotation, For floating slab roadbed y The vibration signal of the shaft rotation i Peak moments, n is the peak number.
[0080] In this embodiment, the vibration period = 0.00662 sec.
[0081] S5, calculating the connection stiffness and parametric inertia of the floating slab ballast bed according to the formula; The calculation formula for the connection stiffness of the floating slab track bed at different connection nodes is: ;
[0082] In the formula, is the connection stiffness, is the quality of the floating slab ballast bed, To support the stiffness of the isolator, is the vertical vibration period of the floating slab ballast, i = 2, j = 2.
[0083] In this embodiment, the connection stiffness of the floating short plate is calculated as follows: = 899814647 N / m, the actual value is 900000000 N / m. Comparing the calculated result with the actual value, the error is 0.0206%, which proves that this method has high accuracy.
[0084] Different connection nodes, floating slab track bed around x The calculation formula of the parametric inertia of shaft rotation is:
[0085] In the formula, For floating slab roadbed x The moment of inertia of the shaft rotation, is the connection stiffness, To support the stiffness of the isolator, a is the lateral distance parameter, For floating slab roadbed x The vibration period of the shaft rotation, i = 2, j = 2.
[0086] In this embodiment, the floating short board is wound aroundx Parametric inertia of shaft rotation = 14003.85 kg·m 2 , the actual value is 14000 kg·m 2 ,Comparing the calculated results with the actual values, the error is 0.0275%, which proves that this method has high accuracy.
[0087] Different connection nodes, floating slab track bed around y The calculation formula of the parametric inertia of shaft rotation is: ;
[0088] In the formula, For floating slab roadbed y The moment of inertia of the shaft rotation, is the connection stiffness, To support the stiffness of the isolator, b 1. b 2 is the longitudinal distance parameter, For floating slab roadbed y The vibration period of the shaft rotation, i = 2, j = 2.
[0089] In this embodiment, the floating short board is wound around y Parametric inertia of shaft rotation = 25998.63 kg·m 2 , the actual value is 26000 kg·m 2 ,Comparing the calculated results with the actual values, the error is 0.0053%, which proves that this method has high accuracy.
[0090] Application Example 1: The method for identifying the connection stiffness and parametric inertia of a floating slab track bed provided in the above embodiment can also be run on a computer device, which includes: at least one processor, a memory, and a computer program stored in the memory and executable on the at least one processor. When the processor executes the computer program, the method in the above embodiment is implemented.
[0091] Application Example 2: The floating slab track bed connection stiffness and parametric inertia identification method provided in the above embodiment can also be run on a computer-readable storage medium, which stores a computer program. When the computer program is executed by a processor, the method in the above embodiment can be implemented.
[0092] Application Example 3: The floating slab track bed connection stiffness and parametric inertia identification method provided in the above embodiment can also be run on an information data processing terminal. When the information data processing terminal is used to be executed on an electronic device, it provides a user input interface to implement the method in the above embodiment. The information data processing terminal is not limited to mobile phones, computers, and switches.
[0093] Application example 4: The floating slab track bed connection stiffness and parametric inertia identification method provided in the above embodiment can also be run on a server, and the server is used to provide a user input interface to implement the method in the above embodiment when it is executed on an electronic device.
[0094] Application Example 5: The floating slab track bed connection stiffness and parametric inertia identification method provided in the above embodiment can also be run on a computer program product. When the computer program product runs on an electronic device, the method in the above embodiment can be implemented when the electronic device executes it.
[0095] The present invention implements all or part of the steps in the above-mentioned embodiment method, which can be completed by instructing the relevant hardware through a computer program, and the computer program can be stored in a computer-readable storage medium. When the computer program is executed by the processor, the steps of each of the above-mentioned method embodiments can be implemented. Among them, the computer program includes computer program code, and the computer program code can be in source code form, object code form, executable file or some intermediate form. The computer-readable medium can at least include: any entity or device that can carry the computer program code to the camera device / terminal device, recording medium, computer memory, read-only memory (ROM), random access memory (RAM), electric carrier signal, telecommunication signal and software distribution medium. For example, a USB flash drive, a mobile hard disk, a disk or an optical disk.
[0096] The above is only a preferred embodiment of the present invention. It should be understood that the described embodiments are part of the embodiments of the present invention, rather than all of the embodiments. Based on the embodiments in the present invention, all other embodiments obtained by ordinary technicians in this field without making creative work are within the scope of protection of the present invention. The present invention is not limited to the form disclosed herein, and should not be regarded as an exclusion of other embodiments, but can be used in various other combinations, modifications and environments. The changes and modifications made by those skilled in the art do not depart from the spirit and scope of the present invention, and should all be within the scope of protection of the claims attached to the present invention.
Claims
1. A method for identifying connection stiffness and parametric inertia of a floating slab track bed, characterized in that: The following steps are involved: S1, determine the dynamic parameters, number of connection nodes, and number of support springs of the floating slab track bed; S2, the condition of applying vibration of floating slab ballast; S3, collecting vibration signals of the floating slab ballast bed; S4, calculate the vibration period, where: The calculation formula for the vertical vibration period of the floating slab ballast is: ; In the formula, is the vertical vibration period of the floating slab ballast, The vertical vibration signal of the floating slab track bed i Peak moments, n is the number of peak values; Floating slab roadbed x The calculation formula for the vibration period of shaft rotation is: ; In the formula, For floating slab roadbed x The vibration period of the shaft rotation, For floating slab roadbed x The vibration signal of the shaft rotation i Peak moments, n is the number of peak values; Floating slab roadbed y The calculation formula for the vibration period of shaft rotation is: ; In the formula, For floating slab roadbed y The vibration period of the shaft rotation, For floating slab roadbed y The vibration signal of the shaft rotation i Peak moments, n is the number of peak values; S5. Calculate the floating slab track bed connection stiffness and parametric inertia according to the formula.
2. The method for identifying connection stiffness and parametric inertia of a floating slab track bed according to claim 1 is characterized in that: The S2 includes: S21, applying vertical vibration condition of floating slab ballast; S22, apply floating slab ballast around x Vibration conditions of shaft rotation; S23, apply floating slab ballast around y Vibration condition of shaft rotation.
3. The method for identifying connection stiffness and parametric inertia of a floating slab track bed according to claim 1, characterized in that: The S3 includes: S31, collecting vertical vibration signals of the floating slab track bed; S32, collecting floating slab ballast around x Vibration signal of shaft rotation; S33, collecting floating slab ballast around y Vibration signal of shaft rotation.
4. The method for identifying connection stiffness and parametric inertia of a floating slab track bed according to claim 1 is characterized in that: The S5 includes: S51, identification method of connection stiffness and parametric inertia of floating slab ballast with different support springs; S52, identification method of connection stiffness and parametric inertia of floating slab trackbed at different connection nodes; S53, identification method of connection stiffness and parametric inertia of floating slab track bed with different support springs and different connection nodes.
5. The method for identifying connection stiffness and parametric inertia of a floating slab track bed according to claim 4 is characterized in that: In S51, the connection stiffness calculation formula of the floating slab track bed with different support springs is: ; In the formula, is the connection stiffness, is the mass of the floating short board, To support the stiffness of the isolator, is the vertical vibration period of the floating short plate, i Group, 4 support springs per group; Different support springs, floating slab track bed x The calculation formula of the parametric inertia of shaft rotation is: ; In the formula, For floating short board x The moment of inertia of the shaft rotation, is the connection stiffness, To support the stiffness of the isolator, a is the lateral distance parameter, For floating short board x The vibration period of the shaft rotation, i Group, 4 support springs per group; Different support springs, floating slab track bed y The calculation formula of the parametric inertia of shaft rotation is: ; In the formula, For floating short board y The moment of inertia of the shaft rotation, is the connection stiffness, To support the stiffness of the isolator, b i is the longitudinal distance parameter, For floating short board y The vibration period of the shaft rotation, i Group, 4 support springs in each group.
6. The method for identifying connection stiffness and parametric inertia of a floating slab track bed according to claim 4 is characterized in that: In S52, the connection stiffness calculation formula of the floating slab track bed at different connection nodes is: ; In the formula, is the connection stiffness, is the mass of the floating short board, To support the stiffness of the isolator, is the vertical vibration period of the floating short plate, j Groups, each group has 4 connected nodes; Different connection nodes, floating slab track bed around x The calculation formula of the parametric inertia of shaft rotation is: ; In the formula, For floating short board x The moment of inertia of the shaft rotation, is the connection stiffness, To support the stiffness of the isolator, a i is the lateral distance parameter, For floating short board x The vibration period of the shaft rotation, j Groups, each group has 4 connected nodes; Different connection nodes, floating slab track bed around y The calculation formula of the parametric inertia of shaft rotation is: ; In the formula, For floating short board y The moment of inertia of the shaft rotation, is the connection stiffness, To support the stiffness of the isolator, b 1. b 2 is the longitudinal distance parameter, For floating short board y The vibration period of the shaft rotation, j groups, each with 4 connected nodes.
7. The method for identifying connection stiffness and parametric inertia of a floating slab track bed according to claim 4 is characterized in that: In S53, the connection stiffness calculation formula of the floating slab track bed with different support springs and different connection nodes is: ; In the formula, is the connection stiffness, is the mass of the floating short board, To support the stiffness of the isolator, is the vertical vibration period of the floating short plate, i Group, 4 support springs per group, j Groups, each group has 4 connected nodes; Different support springs and different connection nodes, floating slab track bed around x The calculation formula of the parametric inertia of shaft rotation is: ; In the formula, For floating short board x The moment of inertia of the shaft rotation, is the connection stiffness, To support the stiffness of the isolator, a i is the lateral distance parameter, For floating short board x The vibration period of the shaft rotation, i Group, 4 support springs per group, j Groups, each group has 4 connected nodes; Different support springs and different connection nodes, floating slab track bed around y The calculation formula of the parametric inertia of shaft rotation is: ; In the formula, For floating short board y The moment of inertia of the shaft rotation, is the connection stiffness, To support the stiffness of the isolator, b i is the longitudinal distance parameter, For floating short board y The vibration period of the shaft rotation, i Group, 4 support springs per group, j groups, each with 4 connected nodes.
8. The method for identifying connection stiffness and parametric inertia of a floating slab track bed according to claim 4 is characterized in that: The method for identifying the connection stiffness and parametric inertia of the floating slab track bed with different support springs is applicable to the conditions of multiple support springs at four connection nodes; The method for identifying the connection stiffness and parametric inertia of the floating slab track bed at different connection nodes is applicable to the conditions of multiple connection nodes with four supporting springs; The method for identifying the connection stiffness and parametric inertia of the floating slab track bed with different support springs and different connection nodes is applicable to the conditions of multiple support springs and multiple connection nodes.
9. A computer device, characterized in that: The computer device includes a memory and a processor, the memory stores a computer program, and when the computer program is executed by the processor, the processor executes a floating slab track bed connection stiffness and parametric inertia identification method as described in any one of claims 1 to 8.
Citation Information
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