Floating slab track connection stiffness and vibration participation inertia identification method
By applying different vibration conditions and acquiring signals, the connection stiffness and vibration inertia of the floating slab track bed are calculated, solving the problem of inaccurate identification in traditional methods, achieving accurate acquisition and optimized design, and improving the safety and intelligence level of the track structure.
Patent Information
- Application Number
- CN202510308552.7
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2025-03-17
- Publication Date
- 2025-11-11
- Estimated Expiration
- 2045-03-17
AI Technical Summary
Traditional methods are insufficient to accurately reflect the complex boundary effects and dynamic characteristics of the service environment of floating slab track under installation conditions, resulting in inaccurate identification of connection stiffness and vibration inertia, which affects the dynamic performance and safety of the track structure.
By applying different vibration conditions, vibration signals of the floating slab track bed are collected, and its vertical, x-axis, and y-axis vibration periods are calculated. The connection stiffness and moment of inertia are calculated using formulas, which are applicable to multiple support springs and connection node conditions.
It enables precise acquisition of the connection stiffness and vibration inertia of floating slab track beds, optimizes vibration reduction design, reduces resonance risk, extends structural life, and provides a scientific basis for intelligent rail transit.
Smart Images

Figure CN119827088B_ABST
Abstract
Description
Technical Field
[0001] This invention belongs to the field of railway engineering technology, and in particular relates to a method for identifying the connection stiffness and vibration inertia of floating slab track beds. Background Technology
[0002] As a crucial vibration reduction and noise reduction structure in high-speed railways and urban rail transit, the connection stiffness and participating inertia of floating slab track are core parameters affecting the dynamic performance of the system. Traditional methods are mostly based on laboratory simulations or simplified theoretical models, which are difficult to accurately reflect the complex boundary effects and dynamic characteristics of the service environment under installation conditions. Degradation of connection stiffness and abnormal participating inertia (such as track bed delamination and changes in mass distribution) are the main causes of track structure failure.
[0003] By obtaining parameters through field tests, the health status of the track bed can be quantitatively assessed, 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 closely matches the actual service condition can be established to simulate train-track coupled vibration, 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 towards intelligence and digitalization. Summary of the Invention
[0004] In order to solve the problems existing in the prior art, the present invention provides a method for identifying the connection stiffness and vibration inertia of a floating slab track bed.
[0005] The present invention adopts the following technical solution:
[0006] A method for identifying the connection stiffness and vibration inertia of a floating slab track bed includes the following steps:
[0007] S1, determine the dynamic parameters, number of connection nodes, and number of support springs of the floating slab track bed;
[0008] S2, applying vibration conditions to the floating slab track bed;
[0009] S3, collect vibration signals of the floating slab track bed;
[0010] S4, calculate the vibration period;
[0011] S5. Calculate the connection stiffness and reference inertia of the floating slab track bed according to the formula.
[0012] In the above technical solution, step S2 includes the following steps:
[0013] S21, Applying vertical vibration to the floating slab track bed;
[0014] S22, Apply floating slab track bed around x Vibration conditions of shaft rotation;
[0015] S23, Apply floating slab track bed around y Vibration conditions of shaft rotation.
[0016] In the above technical solution, in step S21, the floating slab track bed is subjected to vertical vibration. Four lifting machines are used to lift the floating slab track bed horizontally to a certain height and then lower it. At this time, the floating slab track bed is subjected to vertical vibration.
[0017] In the above technical solution, in step S22, the floating slab track bed is applied around... x In the case of shaft rotation vibration, two lifting machines are used to raise one end (front or rear) of the floating slab track to a certain height, and then lower it simultaneously. At this time, the floating slab track undergoes circumferential vibration. x Vibration conditions of shaft rotation.
[0018] In the above technical solution, in step S23, the floating slab track bed is applied around... y In the case of shaft rotation vibration, two lifting machines are used to raise one end (left or right) of the floating slab track to a certain height, and then lower it simultaneously. At this time, the floating slab track will rotate around... y Vibration conditions of shaft rotation.
[0019] In the above technical solution, in steps S21, S22, and S23, the lifting machine raises the floating slab track bed to a certain height, generally 5 to 50 millimeters.
[0020] In the above technical solution, step S3 includes:
[0021] S31, Collect vertical vibration signals of the floating slab track bed;
[0022] S32, collecting data on floating slab track bed. x Vibration signal of shaft rotation;
[0023] S33, collecting data on floating slab track bed. y Vibration signal of shaft rotation.
[0024] In the above technical solution, in step S3, the sampling interval for collecting the vibration signal of the floating slab track bed is generally less than 10. -3 Second.
[0025] In the above technical solution, the formula for calculating the vertical vibration period of the floating slab track bed in step S4 is as follows:
[0026] ;
[0027] In the formula, The vertical vibration period of the floating slab track bed. The first vertical vibration signal of the floating slab track bedq At each peak moment, n This represents the number of peak values.
[0028] In the above technical solution, in step S4, the floating slab track bed is rotated... x The formula for calculating the vibration period of a rotating shaft is:
[0029] ;
[0030] In the formula, For floating slab track bed x The vibration period of the shaft rotation, For floating slab track bed x The vibration signal of shaft rotation q At each peak moment, n This represents the number of peak values.
[0031] In the above technical solution, in step S4, the floating slab track bed is rotated... y The formula for calculating the vibration period of a rotating shaft is:
[0032] ;
[0033] In the formula, For floating slab track bed y The vibration period of the shaft rotation, For floating slab track bed y The vibration signal of shaft rotation q At each peak moment, n This represents the number of peak values.
[0034] In the above technical solution, step S5 includes the following steps:
[0035] S51, Identification method for connection stiffness and vibration inertia of floating slab track bed with different support springs;
[0036] S52, Identification method of connection stiffness and vibration inertia of floating slab track bed with different connection nodes;
[0037] S53, Identification method for connection stiffness and vibration inertia of floating slab track bed with different support springs and different connection nodes.
[0038] In the above technical solution, in step S51, the formula for calculating the connection stiffness of the floating slab track bed with different support springs is as follows:
[0039] ;
[0040] In the formula, For connection stiffness, For the quality of floating short boards, To support the stiffness of the vibration isolator, The vertical vibration period of the floating short plate, i Each group has 4 support springs.
[0041] In the above technical solution, in step S51, different support springs, floating slab track bed around x The formula for calculating the moment of inertia of shaft rotation is:
[0042] ;
[0043] In the formula, For floating short plate x The moment of inertia of the rotating shaft. For connection stiffness, To support the stiffness of the vibration isolator, a This is the horizontal distance parameter. For floating short plate x The vibration period of the shaft rotation, i Each group has 4 support springs.
[0044] In the above technical solution, in step S51, different support springs, floating slab track bed around y The formula for calculating the moment of inertia of shaft rotation is:
[0045] ;
[0046] In the formula, For floating short plate y The moment of inertia of the rotating shaft. For connection stiffness, To support the stiffness of the vibration isolator, b i For longitudinal distance parameters, For floating short plate y The vibration period of the shaft rotation, i Each group has 4 support springs.
[0047] In the above technical solution, the method for identifying the connection stiffness and vibration inertia of different support springs and floating slab track bed in step S51 is applicable to the condition of multiple support springs for 4 connection nodes.
[0048] In the above technical solution, in step S52, the formula for calculating the connection stiffness of the floating slab track bed for different connection nodes is as follows:
[0049] ;
[0050] In the formula, For connection stiffness, For the quality of floating short boards, To support the stiffness of the vibration isolator, The vertical vibration period of the floating short plate, j Groups, each group has 4 connection nodes.
[0051] In the above technical solution, in step S52, different connection nodes, floating slab track bed around x The formula for calculating the moment of inertia of shaft rotation is:
[0052] ;
[0053] In the formula, For floating short plate x The moment of inertia of the rotating shaft. For connection stiffness, To support the stiffness of the vibration isolator, a i This is the horizontal distance parameter. For floating short plate x The vibration period of the shaft rotation, j Groups, each group has 4 connection nodes.
[0054] In the above technical solution, in step S52, different connection nodes, floating slab track bed around y The formula for calculating the moment of inertia of shaft rotation is:
[0055] ;
[0056] In the formula, For floating short plate y The moment of inertia of the rotating shaft. For connection stiffness, To support the stiffness of the vibration isolator, b 1. b 2 represents the longitudinal distance parameter. For floating short plate y The vibration period of the shaft rotation, j Groups, each group has 4 connection nodes.
[0057] In the above technical solution, the method for identifying the connection stiffness and vibration inertia of different connection nodes and floating slab track beds in step S52 is applicable to the condition of multiple connection nodes with 4 support springs.
[0058] In the above technical solution, in step S53, the formula for calculating the connection stiffness of the floating slab track bed with different support springs and different connection nodes is as follows:
[0059] ;
[0060] In the formula, For connection stiffness, For the quality of floating short boards, To support the stiffness of the vibration isolator, The vertical vibration period of the floating short plate, i Group, 4 support springs per group j Groups, each group has 4 connection nodes.
[0061] In the above technical solution, in step S53, different support springs and different connection nodes are used to connect the floating slab track bed. x The formula for calculating the moment of inertia of shaft rotation is:
[0062] ;
[0063] In the formula, For floating short plate x The moment of inertia of the rotating shaft. For connection stiffness, To support the stiffness of the vibration isolator, a i This is the horizontal distance parameter. For floating short plate x The vibration period of the shaft rotation, i Group, 4 support springs per group j Groups, each group has 4 connection nodes.
[0064] In the above technical solution, in step S53, different support springs and different connection nodes are used to connect the floating slab track bed. y The formula for calculating the moment of inertia of shaft rotation is:
[0065] ;
[0066] In the formula, For floating short plate y The moment of inertia of the rotating shaft. For connection stiffness, To support the stiffness of the vibration isolator, b i For longitudinal distance parameters, For floating short plate y The vibration period of the shaft rotation, i Group, 4 support springs per group j Groups, each group has 4 connection nodes.
[0067] In the above technical solution, in step S53, the method for identifying the connection stiffness and vibration inertia of the floating slab track bed with different support springs and different connection nodes is applicable to the condition of multiple support springs and multiple connection nodes.
[0068] The second objective of this invention is to provide a computer device comprising a memory and a processor. The memory stores a computer program, which, when executed by the processor, causes the processor to perform the aforementioned method for identifying the connection stiffness and vibration inertia of a floating slab track bed.
[0069] Combining all the above technical solutions, the advantages and positive effects of this invention are as follows:
[0070] 1. This invention proposes a new method for obtaining the vibration inertia of floating slab track beds, which can improve the theoretical system of dynamic analysis of floating slab track beds and provide new ideas and methods for related research.
[0071] 2. The method proposed in this invention can accurately calculate the connection stiffness and vibration inertia of the floating slab track bed under the installation state. It is simple to implement and is beneficial for engineering technicians to carry out vibration optimization design work.
[0072] 3. Connection stiffness directly affects the vibration transmission path and energy dissipation efficiency of the track structure, while the moment of inertia determines the system's resonant frequency and dynamic response amplitude. This invention enables precise acquisition of these two parameters, optimizes the vibration reduction design of floating slab track beds, avoids resonance amplification effects caused by parameter mismatch, reduces the risk of track slab cracking and fastener failure, and extends the service life of the structure.
[0073] 4. Connectivity stiffness and vibration inertia are the core input parameters for constructing a digital twin model of the track structure. This invention obtains high-precision data through field tests, enabling the establishment of a virtual model that closely matches the actual service conditions. This model is used to simulate train-track coupled vibration, predict long-term performance evolution, and provide an algorithmic basis for "condition-based maintenance" and "predictive maintenance," thereby promoting the intelligent and digital transformation and upgrading of rail transit.
[0074] In addition, the inventive step evidence for this invention is also reflected in the following important aspects:
[0075] 1. Existing methods rely on laboratory environments or assume ideal boundary conditions. However, the dynamic characteristics of floating slab track beds under actual installation conditions deviate significantly from design values due to factors such as construction errors, foundation settlement, and environmental temperature and humidity. Developing parameter inversion technology based on on-site vibration response can overcome the limitations of traditional static testing, enabling "in-situ diagnosis" of dynamic parameters under service conditions. This provides reliable data support for engineering practice and fills a technological gap in the industry both domestically and internationally.
[0076] 2. Degradation of connection stiffness (such as bearing aging and bolt loosening) and abnormal vibration inertia (such as track bed delamination and changes in mass distribution) are the main causes of track structure failure. By regularly obtaining these two parameters through field tests, the health status of the track bed can be quantitatively assessed, early hidden damage (such as microcracks and local debonding) can be identified, and a scientific basis can be provided for preventive maintenance decisions to avoid major safety accidents. Attached Figure Description
[0077] The accompanying drawings, which are incorporated in and form part of this specification, illustrate embodiments consistent with this disclosure and, together with the description, serve to explain the principles of this disclosure;
[0078] Figure 1 This is a flowchart of a method for identifying the connection stiffness and vibration inertia of a floating slab track bed according to the present invention;
[0079] Figure 2 A schematic diagram illustrating the application of vertical vibration to a floating slab track bed;
[0080] Figure 3 To apply floating slab track bed x A schematic diagram of the vibration condition of the shaft rotation;
[0081] Figure 4 To apply floating slab track bed y A schematic diagram of the vibration condition of the shaft rotation;
[0082] Figure 5 A schematic diagram of the coupled vibration model of a floating slab track bed under different support spring conditions;
[0083] Figure 6 The vertical vibration signal of the floating slab track bed under different support spring conditions;
[0084] Figure 7 For floating slab track bed under different support spring conditions x Vibration signal of shaft rotation;
[0085] Figure 8 For floating slab track bed under different support spring conditions y Vibration signal of shaft rotation;
[0086] Figure 9 A schematic diagram of the coupled vibration model of the floating slab track bed under different connection node conditions;
[0087] Figure 10 Vertical vibration signals of floating slab track bed under different connection node conditions;
[0088] Figure 11 For floating slab track bed under different connection node conditions x Vibration signal of shaft rotation;
[0089] Figure 12 For floating slab track bed under different connection node conditions y Vibration signal of shaft rotation;
[0090] Figure 13 A schematic diagram of the coupled vibration model of a floating slab track bed under different support springs and connection node conditions;
[0091] Figure 14 Vertical vibration signals of floating slab track bed under different support springs and connection node conditions;
[0092] Figure 15 For floating slab track bed with different support springs and different connection node conditions x Vibration signal of shaft rotation;
[0093] Figure 16 For floating slab track bed with different support springs and different connection node conditions y Vibration signal of shaft rotation. Detailed Implementation
[0094] To make the above-mentioned objects, features, and advantages of the present invention more apparent and understandable, specific embodiments of the present invention will be described in detail below with reference to the accompanying drawings. Many specific details are set forth in the following description to provide a thorough understanding of the present invention. However, the present invention can be practiced in many other ways different from those described herein, and those skilled in the art can make similar modifications without departing from the spirit of the present invention. Therefore, the present invention is not limited to the specific embodiments disclosed below.
[0095] The present invention will be further described in detail below with reference to specific embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention. Example 1
[0096] This invention proposes a method for identifying the connection stiffness and vibration inertia of a floating slab track bed. This embodiment is applicable to the condition of multiple support springs and four connection nodes, such as... Figure 5 As shown, it includes the following steps:
[0097] S1, determine the dynamic parameters, number of connection nodes, and number of support springs of the floating slab track bed;
[0098] In this embodiment, the quality of the floating slab track bed m =10000kg, stiffness of the vibration isolator k h =6000000N / m, lateral distance parameter a =3m, longitudinal distance parameter b 1 = 3.6m b2 = 1.8m, 4 connection nodes, 2 sets of 8 support springs.
[0099] S2, applying vibration conditions to the floating slab track bed;
[0100] S21, Applying vertical vibration to the floating slab track bed, such as Figure 2 As shown, four lifting machines are used to horizontally raise the floating slab track bed to a certain height, and then lower it simultaneously. At this time, the floating slab track bed experiences vertical vibration. In this embodiment, the lifting machines raise the floating slab track bed by 10 mm.
[0101] S22, Apply floating slab track bed around x Vibration conditions of shaft rotation, such as Figure 3 As shown, two lifting machines are used to raise one end (front or rear) of the floating slab track to a certain height, and then lower it simultaneously. At this time, the floating slab track will rotate around... x Vibration conditions due to shaft rotation. In this embodiment, the lifting machine raises the floating slab track bed by 10 mm;
[0102] S23, Apply floating slab track bed around y Vibration conditions of shaft rotation, such as Figure 4 As shown, two lifting machines are used to raise one end (left or right) of the floating slab track to a certain height, and then lower it simultaneously. At this time, the floating slab track will rotate around... y Vibration conditions due to shaft rotation. In this embodiment, the lifting machine raises the floating slab track bed by 10 mm;
[0103] S3, collect vibration signals of the floating slab track bed;
[0104] Collect vertical vibration signals of the floating slab track bed, such as... Figure 6 As shown, in this embodiment, the sampling interval is 10. -6 Second;
[0105] Collect floating slab track bed x Vibration signals from shaft rotation, such as Figure 7 As shown, in this embodiment, the sampling interval is 10. -6 Second.
[0106] Collect floating slab track bed y Vibration signals from shaft rotation, such as Figure 8 As shown, in this embodiment, the sampling interval is 10. -6 Second.
[0107] S4, calculate the vibration period;
[0108] The formula for calculating the vertical vibration period of a floating slab track bed is as follows:
[0109] ;
[0110] In the formula, The vertical vibration period of the floating slab track bed. The first vertical vibration signal of the floating slab track bed q At each peak moment, n This represents the number of peak values.
[0111] In this embodiment, the vibration period = 0.010404 seconds.
[0112] Floating slab track bed x The formula for calculating the vibration period of a rotating shaft is:
[0113] ;
[0114] In the formula, For floating slab track bed x The vibration period of the shaft rotation, For floating slab track bed x The vibration signal of shaft rotation q At each peak moment, n This represents the number of peak values.
[0115] In this embodiment, the vibration period = 0.008208 seconds.
[0116] Floating slab track bed y The formula for calculating the vibration period of a rotating shaft is:
[0117] ;
[0118] In the formula, For floating slab track bed y The vibration period of the shaft rotation, For floating slab track bed y The vibration signal of shaft rotation q At each peak moment, n This represents the number of peak values.
[0119] In this embodiment, the vibration period = 0.009343 seconds.
[0120] S5, calculate the connection stiffness and vibration inertia of the floating slab track bed according to the formula;
[0121] The formula for calculating the connection stiffness of floating slab track bed with different support springs is as follows:
[0122] ;
[0123] In the formula, For connection stiffness, For the quality of floating slab track bed, To support the stiffness of the vibration isolator, The vertical vibration period of the floating slab track bed. i = 2.
[0124] In this embodiment, the connection stiffness of the floating slab track bed is calculated. = 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 the method has high accuracy.
[0125] Different support springs, floating slab track bed x The formula for calculating the moment of inertia of shaft rotation is:
[0126] ;
[0127] In the formula, For floating slab track bed x The moment of inertia of the rotating shaft. For connection stiffness, To support the stiffness of the vibration isolator, a This is the horizontal distance parameter. For floating slab track bed x The vibration period of the shaft rotation, i = 2.
[0128] In this embodiment, the floating slab track bed is surrounded x Moment of inertia of shaft rotation = 14004.14 kg·m 2 The actual value is 14000 kg·m 2 The calculated results were compared with the actual values, and the error was 0.0296%, proving that the method has high accuracy.
[0129] Different support springs, floating slab track bed y The formula for calculating the moment of inertia of shaft rotation is:
[0130] ;
[0131] In the formula, For floating slab track bed y The moment of inertia of the rotating shaft. For connection stiffness, To support the stiffness of the vibration isolator, b 1. b 2 represents the longitudinal distance parameter. For floating slab track bed y The vibration period of the shaft rotation, i = 2.
[0132] In this embodiment, the floating slab track bed is surrounded y Moment of inertia of shaft rotation = 25999.70 kg·m 2 The actual value is 26000 kg·m 2 The calculated results were compared with the actual values, and the error was 0.0012%, proving that the method has high accuracy. Example 2
[0133] This invention proposes a method for identifying the connection stiffness and vibration inertia of a floating slab track bed. This embodiment is applicable to conditions with four support springs and multiple connection nodes, such as... Figure 9 As shown, it includes the following steps:
[0134] S1, determine the dynamic parameters, number of connection nodes, and number of support springs of the floating slab track bed;
[0135] In this embodiment, the quality of the floating slab track bed m =10000kg, stiffness of the vibration isolator k h =6000000N / m, lateral distance parameter a 1 = 3m a 2 = 1.5m, longitudinal distance parameter b =3.6m, 4 support springs, 2 sets of 8 connection nodes.
[0136] S2, applying vibration conditions to the floating slab track bed;
[0137] S21, Applying vertical vibration to the floating slab track bed, such as Figure 2 As shown, four lifting machines are used to horizontally raise the floating slab track bed to a certain height, and then lower it simultaneously. At this time, the floating slab track bed experiences vertical vibration. In this embodiment, the lifting machines raise the floating slab track bed by 10 mm.
[0138] S22, Apply floating slab track bed around x Vibration conditions of shaft rotation, such as Figure 3 As shown, two lifting machines are used to raise one end (front or rear) of the floating slab track to a certain height, and then lower it simultaneously. At this time, the floating slab track will rotate around... x Vibration conditions due to shaft rotation. In this embodiment, the lifting machine raises the floating slab track bed by 10 mm;
[0139] S23, Apply floating slab track bed around y Vibration conditions of shaft rotation, such as Figure 4 As shown, two lifting machines are used to raise one end (left or right) of the floating slab track to a certain height, and then lower it simultaneously. At this time, the floating slab track will rotate around... yVibration conditions due to shaft rotation. In this embodiment, the lifting machine raises the floating slab track bed by 10 mm;
[0140] S3, collect vibration signals of the floating slab track bed;
[0141] Collect vertical vibration signals of the floating slab track bed, such as... Figure 10 As shown, in this embodiment, the sampling interval is 10. -6 Second;
[0142] Collect floating slab track bed x Vibration signals from shaft rotation, such as Figure 11 As shown, in this embodiment, the sampling interval is 10. -6 Second.
[0143] Collect floating slab track bed y Vibration signals from shaft rotation, such as Figure 12 As shown, in this embodiment, the sampling interval is 10. -6 Second.
[0144] S4, calculate the vibration period;
[0145] The formula for calculating the vertical vibration period of a floating slab track bed is as follows:
[0146] ;
[0147] In the formula, The vertical vibration period of the floating slab track bed. The first vertical vibration signal of the floating slab track bed q At each peak moment, n This represents the number of peak values.
[0148] In this embodiment, the vibration period = 0.007393 seconds.
[0149] Floating slab track bed x The formula for calculating the vibration period of a rotating shaft is:
[0150] ;
[0151] In the formula, For floating slab track bed x The vibration period of the shaft rotation, For floating slab track bed x The vibration signal of shaft rotation q At each peak moment, n This represents the number of peak values.
[0152] In this embodiment, the vibration period = 0.007369 seconds.
[0153] Floating slab track bed y The formula for calculating the vibration period of a rotating shaft is:
[0154] ;
[0155] In the formula, For floating slab track bed y The vibration period of the shaft rotation, For floating slab track bed y The vibration signal of shaft rotation q At each peak moment, n This represents the number of peak values.
[0156] In this embodiment, the vibration period = 0.006622 seconds.
[0157] S5, calculate the connection stiffness and vibration inertia of the floating slab track bed according to the formula;
[0158] The formula for calculating the connection stiffness of the floating slab track bed at different connection nodes is as follows:
[0159] ;
[0160] In the formula, For connection stiffness, For the quality of floating slab track bed, To support the stiffness of the vibration isolator, The vertical vibration period of the floating slab track bed. j = 2.
[0161] In this embodiment, the connection stiffness of the floating slab track bed is calculated. = 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 the method has high accuracy.
[0162] Different connection nodes, floating slab track bed around x The formula for calculating the moment of inertia of shaft rotation is:
[0163]
[0164] In the formula, For floating slab track bed x The moment of inertia of the rotating shaft. For connection stiffness, To support the stiffness of the vibration isolator, a This is the horizontal distance parameter. For floating slab track bed x The vibration period of the shaft rotation, j= 2.
[0165] In this embodiment, the floating short plate is wound x Moment of inertia of shaft rotation = 13999.20 kg·m 2 The actual value is 14000 kg·m 2 The calculated results were compared with the actual values, and the error was 0.0057%, proving that the method has high accuracy.
[0166] Different connection nodes, floating slab track bed around y The formula for calculating the moment of inertia of shaft rotation is:
[0167] ;
[0168] In the formula, Floating slab track bed y The moment of inertia of the rotating shaft. For connection stiffness, To support the stiffness of the vibration isolator, b 1. b 2 represents the longitudinal distance parameter. For floating slab track bed y The vibration period of the shaft rotation, j = 2.
[0169] In this embodiment, the floating short plate is wound y Moment of inertia of shaft rotation = 25994.53 kg·m 2 The actual value is 26000 kg·m 2 The calculated results were compared with the actual values, and the error was 0.0210%, proving that the method has high accuracy. Example 3
[0170] This invention proposes a method for identifying the connection stiffness and vibration inertia of a floating slab track bed. This embodiment is applicable to conditions with multiple support springs and multiple connection nodes, such as... Figure 13 As shown, it includes the following steps:
[0171] S1, determine the dynamic parameters, number of connection nodes, and number of support springs of the floating slab track bed;
[0172] In this embodiment, the quality of the floating slab track bed m =10000kg, stiffness of the vibration isolator k h =6000000N / m, lateral distance parameter a 1 = 3m a 2 = 1.5m, longitudinal distance parameter b 1 = 3.6mb 2 = 1.8m, 2 sets of 8 support springs, 2 sets of 8 connection nodes.
[0173] S2, applying vibration conditions to the floating slab track bed;
[0174] S21, Applying vertical vibration to the floating slab track bed, such as Figure 2 As shown, four lifting machines are used to horizontally raise the floating slab track bed to a certain height, and then lower it simultaneously. At this time, the floating slab track bed experiences vertical vibration. In this embodiment, the lifting machines raise the floating slab track bed by 10 mm.
[0175] S22, Apply floating slab track bed around x Vibration conditions of shaft rotation, such as Figure 3 As shown, two lifting machines are used to raise one end (front or rear) of the floating slab track to a certain height, and then lower it simultaneously. At this time, the floating slab track will rotate around... x Vibration conditions due to shaft rotation. In this embodiment, the lifting machine raises the floating slab track bed by 10 mm;
[0176] S23, Apply floating slab track bed around y Vibration conditions of shaft rotation, such as Figure 4 As shown, two lifting machines are used to raise one end (left or right) of the floating slab track to a certain height, and then lower it simultaneously. At this time, the floating slab track will rotate around... y Vibration conditions due to shaft rotation. In this embodiment, the lifting machine raises the floating slab track bed by 10 mm;
[0177] S3, collect vibration signals of the floating slab track bed;
[0178] Collect vertical vibration signals of the floating slab track bed, such as... Figure 14 As shown, in this embodiment, the sampling interval is 10. -6 Second;
[0179] Collect floating slab track bed x Vibration signals from shaft rotation, such as Figure 15 As shown, in this embodiment, the sampling interval is 10. -6 Second.
[0180] Collect floating slab track bed y Vibration signals from shaft rotation, such as Figure 16 As shown, in this embodiment, the sampling interval is 10. -6 Second.
[0181] S4, calculate the vibration period;
[0182] The formula for calculating the vertical vibration period of a floating slab track bed is as follows:
[0183]
[0184] In the formula, The vertical vibration period of the floating slab track bed. The first vertical vibration signal of the floating slab track bed q At each peak moment, n This represents the number of peak values.
[0185] In this embodiment, the vibration period = 0.007381 seconds.
[0186] Floating slab track bed x The formula for calculating the vibration period of a rotating shaft is:
[0187]
[0188] In the formula, For floating slab track bed x The vibration period of the shaft rotation, For floating slab track bed x The vibration signal of shaft rotation q At each peak moment, n This represents the number of peak values.
[0189] In this embodiment, the vibration period = 0.007351 seconds.
[0190] Floating slab track bed y The formula for calculating the vibration period of a rotating shaft is:
[0191] ;
[0192] In the formula,
[0193] For floating slab track bed y The vibration period of the shaft rotation, For floating slab track bed y The vibration signal of shaft rotation q At each peak moment, n This represents the number of peak values.
[0194] In this embodiment, the vibration period = 0.00662 seconds.
[0195] S5, calculate the connection stiffness and vibration inertia of the floating slab track bed according to the formula;
[0196] The formula for calculating the connection stiffness of the floating slab track bed at different connection nodes is as follows:
[0197] ;
[0198] In the formula, For connection stiffness, For the quality of floating slab track bed, To support the stiffness of the vibration isolator, The vertical vibration period of the floating slab track bed. i = 2, j = 2.
[0199] In this embodiment, the connection stiffness of the floating short plate is calculated. = 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 the method has high accuracy.
[0200] Different connection nodes, floating slab track bed around x The formula for calculating the moment of inertia of shaft rotation is:
[0201]
[0202] In the formula, For floating slab track bed x The moment of inertia of the rotating shaft. For connection stiffness, To support the stiffness of the vibration isolator, a This is the horizontal distance parameter. For floating slab track bed x The vibration period of the shaft rotation, i = 2, j = 2.
[0203] In this embodiment, the floating short plate is wound x Moment of inertia of shaft rotation = 14003.85 kg·m 2 The actual value is 14000 kg·m 2 The calculated results were compared with the actual values, and the error was 0.0275%, proving that the method has high accuracy.
[0204] Different connection nodes, floating slab track bed around y The formula for calculating the moment of inertia of shaft rotation is:
[0205] ;
[0206] In the formula, For floating slab track bed y The moment of inertia of the rotating shaft. For connection stiffness, To support the stiffness of the vibration isolator, b 1. b 2 represents the longitudinal distance parameter. For floating slab track bed y The vibration period of the shaft rotation, i = 2, j = 2.
[0207] In this embodiment, the floating short plate is wound y Moment of inertia of shaft rotation = 25998.63 kg·m 2 The actual value is 26000 kg·m 2 The calculated results were compared with the actual values, and the error was 0.0053%, proving that the method has high accuracy.
[0208] Application Example 1:
[0209] The floating slab track bed connection stiffness and vibration inertia identification method provided in the above embodiments can also be run on a computer device, the computer device including: at least one processor, a memory, and a computer program stored in the memory and capable of running on the at least one processor, the processor implementing the method in the above embodiments when executing the computer program.
[0210] Application Example 2:
[0211] The method for identifying the connection stiffness and vibration inertia of a floating slab track bed provided in the above embodiments can also be run on a computer-readable storage medium, which stores a computer program. When the computer program is executed by a processor, it can implement the method in the above embodiments.
[0212] Application Example 3:
[0213] The floating slab track bed connection stiffness and vibration inertia identification method provided in the above embodiments can also be run on an information data processing terminal. The information data processing terminal is used to provide a user input interface to implement the method in the above embodiments when executed on an electronic device. The information data processing terminal is not limited to mobile phones, computers, and switches.
[0214] Application Example 4:
[0215] The floating slab track bed connection stiffness and vibration inertia identification method provided in the above embodiments can also be run on a server. The server is used to provide a user input interface to implement the method in the above embodiments when executed on an electronic device.
[0216] Application Example 5:
[0217] The floating slab track bed connection stiffness and vibration inertia identification method provided in the above embodiments can also be run on computer program products. When the computer program product is run on an electronic device, the electronic device can implement the method in the above embodiments.
[0218] The present invention implements all or part of the steps in the methods of the above embodiments by instructing related hardware through a computer program. The computer program can be stored in a computer-readable storage medium, and when executed by a processor, it can implement the steps of the various method embodiments described above. The computer program includes computer program code, which can be in the form of source code, object code, executable file, or some intermediate form. The computer-readable medium can include at least: any entity or device capable of carrying the computer program code to a photographing device / terminal device, a recording medium, a computer memory, a read-only memory (ROM), a random access memory (RAM), an electrical carrier signal, a telecommunication signal, and a software distribution medium, such as a USB flash drive, a portable hard drive, a magnetic disk, or an optical disk.
[0219] The above description is merely a preferred embodiment of the present invention. It should be understood that the described embodiments are only a part of the embodiments of the present invention, and not all of them. 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. The present invention is not limited to the forms disclosed herein and should not be construed as excluding other embodiments, but can be used in various other combinations, modifications, and environments. Modifications and variations made by those skilled in the art that do not depart from the spirit and scope of the present invention should be within the protection scope of the appended claims.
Claims
1. A method for identifying the connection stiffness and vibration inertia of a floating slab track bed, characterized in that: Includes the following steps: S1, Determine the dynamic parameters and number of connection nodes of the floating slab track bed. j Groups, each group has 4 connection nodes, and the number of support springs... i Each group has four support springs. S2, applying vibration conditions to the floating slab track bed; S3, collect vibration signals of the floating slab track bed; S4, calculate the vibration period, where: The formula for calculating the vertical vibration period of a floating slab track bed is as follows: ; In the formula, The vertical vibration period of the floating slab track bed. This represents the q-th peak moment of the vertical vibration signal of the floating slab track bed. n The number of peak values; Floating slab track bed x The formula for calculating the vibration period of a rotating shaft is: ; In the formula, For floating slab track bed x The vibration period of the shaft rotation, For floating slab track bed x The vibration signal of shaft rotation q At each peak moment, n The number of peak values; Floating slab track bed y The formula for calculating the vibration period of a rotating shaft is: ; In the formula, For floating slab track bed y The vibration period of the shaft rotation, For floating slab track bed y The vibration signal of shaft rotation q At each peak moment, n The number of peak values; S5, based on the lateral distance parameter a、 Longitudinal distance parameter b, stiffness of the support isolator k h Floating Spur Quality m、 Vibration period T The connection stiffness of the floating slab track bed is calculated using a formula. k d = f ( m,k h , T , a , b and moment of inertia I xx / I yy = g ( k h , T , a , b ).
2. The method for identifying the connection stiffness and vibration inertia of a floating slab track bed according to claim 1, characterized in that: S2 includes: S21, Applying vertical vibration to the floating slab track bed; S22, Apply floating slab track bed around x Vibration conditions of shaft rotation; S23, Apply floating slab track bed around y Vibration conditions of shaft rotation.
3. The method for identifying the connection stiffness and vibration inertia of a floating slab track bed according to claim 1, characterized in that: S3 includes: S31, Collect vertical vibration signals of the floating slab track bed; S32, collecting data on floating slab track bed. x Vibration signal of shaft rotation; S33, collecting data on floating slab track bed. y Vibration signals from shaft rotation.
4. The method for identifying the connection stiffness and vibration inertia of a floating slab track bed according to claim 1, characterized in that: S5 includes: S51, Identification method of connection stiffness and vibration inertia of floating slab track bed with different support springs; S52, Identification method of connection stiffness and vibration inertia of floating slab track bed with different connection nodes; S53, Identification method for connection stiffness and vibration inertia of floating slab track bed with different support springs and different connection nodes.
5. The method for identifying the connection stiffness and vibration inertia of a floating slab track bed according to claim 4, characterized in that: In S51, the formula for calculating the connection stiffness of the floating slab track bed with different support springs is as follows: ; In the formula, For connection stiffness, For the quality of floating short boards, To support the stiffness of the vibration isolator, The vertical vibration period of the floating short plate, i Groups, each group has 4 support springs; Different support springs, floating slab track bed x The formula for calculating the moment of inertia of shaft rotation is: ; In the formula, For floating short plate x The moment of inertia of the rotating shaft. For connection stiffness, To support the stiffness of the vibration isolator, a This is the horizontal distance parameter. For floating short plate x The vibration period of the shaft rotation, i Groups, each group has 4 support springs; Different support springs, floating slab track bed y The formula for calculating the moment of inertia of shaft rotation is: ; In the formula, For floating short plate y The moment of inertia of the rotating shaft. For connection stiffness, To support the stiffness of the vibration isolator, b i For longitudinal distance parameters, For floating short plate y The vibration period of the shaft rotation, i Each group has 4 support springs.
6. The method for identifying the connection stiffness and vibration inertia of a floating slab track bed according to claim 4, characterized in that: In S52, the formula for calculating the connection stiffness of the floating slab track bed at different connection nodes is as follows: ; In the formula, For connection stiffness, For the quality of floating short boards, To support the stiffness of the vibration isolator, The vertical vibration period of the floating short plate, j Groups, with 4 connection nodes in each group; Different connection nodes, floating slab track bed around x The formula for calculating the moment of inertia of shaft rotation is: ; In the formula, For floating short plate x The moment of inertia of the rotating shaft. For connection stiffness, To support the stiffness of the vibration isolator, a i This is the horizontal distance parameter. For floating short plate x The vibration period of the shaft rotation, j Groups, with 4 connection nodes in each group; Different connection nodes, floating slab track bed around y The formula for calculating the moment of inertia of shaft rotation is: ; In the formula, For floating short plate y The moment of inertia of the rotating shaft. For connection stiffness, To support the stiffness of the vibration isolator, b 1. b 2 represents the longitudinal distance parameter. For floating short plate y The vibration period of the shaft rotation, j Groups, each group has 4 connection nodes.
7. The method for identifying the connection stiffness and vibration inertia of a floating slab track bed according to claim 4, characterized in that: In S53, the formula for calculating the connection stiffness of the floating slab track bed with different support springs and different connection nodes is as follows: ; In the formula, For connection stiffness, For the quality of floating short boards, To support the stiffness of the vibration isolator, The vertical vibration period of the floating short plate, i Group, 4 support springs per group j Groups, with 4 connection nodes in each group; Different support springs and different connection nodes, floating slab track bed around x The formula for calculating the moment of inertia of shaft rotation is: ; In the formula, For floating short plate x The moment of inertia of the rotating shaft. For connection stiffness, To support the stiffness of the vibration isolator, a i This is the horizontal distance parameter. For floating short plate x The vibration period of the shaft rotation, i Group, 4 support springs per group j Groups, with 4 connection nodes in each group; Different support springs and different connection nodes, floating slab track bed around y The formula for calculating the moment of inertia of shaft rotation is: ; In the formula, For floating short plate y The moment of inertia of the rotating shaft. For connection stiffness, To support the stiffness of the vibration isolator, b i For longitudinal distance parameters, For floating short plate y The vibration period of the shaft rotation, i Group, 4 support springs per group j Groups, each group has 4 connection nodes.
8. The method for identifying the connection stiffness and vibration inertia of a floating slab track bed according to claim 4, characterized in that: The method for identifying the connection stiffness and vibration inertia of different support springs and floating slab track beds is applicable to the condition of multiple support springs at 4 connection nodes. The method for identifying the connection stiffness and vibration inertia of different connection nodes and floating slab track beds is applicable to the condition of multiple connection nodes with 4 support springs. The method for identifying the connection stiffness and vibration inertia of floating slab track bed with different support springs and different connection nodes is applicable to conditions with 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. When the computer program is executed by the processor, the processor performs a method for identifying the connection stiffness and vibration inertia of a floating slab track bed as described in any one of claims 1 to 8.