Method, device and equipment for determining elastic vibration mode of train body and medium

Abstract

The invention discloses a method, a device, equipment and a medium for determining an elastic vibration mode of a train body, is applied to the technical field of high-speed trains, and aims to solve the problems of large calculation amount and low efficiency of obtaining elastic vibration mode characteristics of a train in the prior art. The method comprises the following steps of: constructing a plurality of sections of variable cross-section free beams on the basis of the train body, the multiple sections of variable cross-section free beams comprise non-homogeneous beams; establishing a vibration control equation and a boundary condition of each section of variable cross-section free beam; the parameter information of each section of variable cross-section free beam is obtained, the elastic vibration mode characteristics of the train body are obtained in combination with the vibration control equation and the boundary conditions, the whole process is simple and efficient, the determination efficiency of the elastic vibration mode of the train body can be improved, and the design effect of the train body can be improved.

Description

Technical Field

[0001] The present invention relates to the technical field of high-speed trains, and in particular to a method, device, electronic equipment and computer-readable storage medium for determining elastic vibration modes of a train body. Background Art

[0002] The vertical bending, torsion and other stiffness of the load-bearing structure of high-speed trains play an important role in the vibration comfort and vibration performance design of the whole vehicle. As the speed of the vehicle increases, the elastic vibration of the vehicle body will intensify. If the train body is not designed properly, it will cause the vehicle to "shake and rock", which will endanger the vehicle's driving. At present, the design of the body of high-speed trains and other vehicles is often based on empirical methods, such as improving existing vehicles, or continuously improving the body structure through the finite element method to meet relevant regulations and design standards. However, the accuracy of the elastic vibration modal characteristics of the body determined based on the empirical method is low, and the calculation amount of the elastic vibration modal characteristics of the body determined based on the finite element method is large, and the calculation efficiency is low, so it is often difficult to achieve the design goal in terms of design effect.

[0003] In view of this, how to improve the determination efficiency and design effect of the elastic vibration mode of the train body has become a problem that technical personnel in this field need to solve. Summary of the invention

[0004] The purpose of the embodiments of the present invention is to provide a method, device, electronic device and computer-readable storage medium for determining the elastic vibration mode of a train body, which can improve the efficiency of determining the elastic vibration mode of the train body during use, and is conducive to improving the design effect of the train body.

[0005] To solve the above technical problems, the embodiments of the present invention provide the following technical solutions:

[0006] In one aspect, the present invention provides a method for determining elastic vibration modes of a train body, comprising:

[0007] Constructing multiple sections of variable-section free beams based on the vehicle body, wherein the multiple sections of the variable-section free beams include non-homogeneous beams;

[0008] Establishing vibration control equations and boundary conditions for each section of the variable cross-section free beam;

[0009] Parameter information of each section of the variable-section free beam is obtained, and the elastic vibration modal characteristics of the vehicle body are obtained by combining the vibration control equation and the boundary conditions.

[0010] In an exemplary embodiment, the establishment of the vibration control equation and boundary conditions of each section of the variable cross-section free beam includes:

[0011] For each section of the variable cross-section free beam, the variable cross-section free beam is divided into a plurality of sections of sub-beams;

[0012] Establishing a vibration control equation corresponding to each of the sub-beams;

[0013] Establish boundary conditions at the head of the first variable-section free beam and the end of the last variable-section free beam.

[0014] In an exemplary embodiment, the acquiring of parameter information of each section of the variable-section free beam and combining the vibration control equation and the boundary condition to obtain elastic vibration modal characteristics of the vehicle body include:

[0015] For each section of the variable-section free beam, obtaining the equivalent parameters corresponding to each section of the sub-beam in the variable-section free beam;

[0016] According to the vibration control equation corresponding to each of the sub-beams, a displacement mode shape equation and an angle mode shape equation are obtained;

[0017] According to the displacement vibration mode equation and the rotation vibration mode equation of each sub-beam of each section of the variable-section free beam, combined with the corresponding equivalent parameters and the boundary conditions, the elastic vibration modal characteristics of each sub-beam are determined;

[0018] The elastic vibration modal characteristics of the vehicle body are obtained according to the elastic vibration modal characteristics of all the sub-beams.

[0019] In an exemplary embodiment, the vibration control equation is:

[0020] ;

[0021] ;

[0022] in, represents the lateral displacement of the i-th sub-beam of the j-th variable-section free beam at time t at x, represents the lateral rotation angle of the i-th section of the j-th variable-section free beam at time t at x, represents the shear elastic modulus of the i-th sub-beam of the j-th variable-section free beam, represents the moment of inertia of the cross section of the i-th sub-beam of the j-th variable-section free beam close to the neutral axis, represents the density of the i-th sub-beam of the j-th variable-section free beam, represents the cross-sectional area of ​​the i-th sub-beam of the j-th variable-section free beam, It represents the shear shape factor of the cross section of the i-th sub-beam of the j-th variable-section free beam.

[0023] In an exemplary embodiment, the displacement mode equation is:

[0024] ;

[0025] The rotation angle vibration mode equation is:

[0026] ;

[0027] in, , , , Respectively represent the constant coefficients of the i-th sub-beam;

[0028] ; ;in, represents the natural frequency of the beam.

[0029] In an exemplary embodiment, the variable-section free beam constructed based on the vehicle body is m sections, and each section of the variable-section free beam is divided into k+1 sub-beams;

[0030] Then, the boundary conditions include:

[0031] ,in, represents the elastic modulus of the first sub-beam of the first variable-section free beam, It represents the moment of inertia of the cross section of the first section of the variable-section free beam close to the neutral axis, The shear shape factor of the cross section of the first section of the variable cross-section free beam is: represents the shear elastic modulus of the first section of the variable cross-section free beam, represents the cross-sectional area of ​​the first section of the variable-section free beam, represents the lateral rotation angle of the first section of the first variable-section free beam at time t at x, represents the lateral displacement of the first section of the first variable cross-section free beam at x=0, represents the elastic modulus of the k+1th sub-beam of the mth variable-section free beam, represents the moment of inertia of the cross section of the k+1th sub-beam of the mth variable-section free beam, represents the shear elastic modulus of the k+1th sub-beam of the mth variable-section free beam, represents the shear shape factor of the cross section of the k+1th sub-beam of the mth variable-section free beam, represents the cross-sectional area of ​​the k+1th sub-beam of the mth variable-section free beam, represents the lateral rotation angle of the k+1th sub-beam of the mth variable-section free beam at time t at x, It represents the lateral displacement of the k+1th sub-beam of the mth variable-section free beam at the position where x is L.

[0032] In an exemplary embodiment, the equivalent parameters include equivalent stiffness and bending Poisson's ratio.

[0033] Another aspect of the present invention provides a device for determining elastic vibration modes of a train body, comprising:

[0034] A first construction module is used to construct a plurality of variable-section free beams based on a vehicle body, wherein the plurality of variable-section free beams include non-homogeneous beams;

[0035] The second building module is used to establish the vibration control equation and boundary conditions of each section of the variable cross-section free beam;

[0036] The determination module is used to obtain parameter information of each section of the variable-section free beam, and obtain elastic vibration modal characteristics of the vehicle body in combination with the vibration control equation and the boundary conditions.

[0037] Another aspect of the present invention provides an electronic device, comprising:

[0038] Memory for storing computer programs;

[0039] A processor is used to implement the steps of the method for determining the elastic vibration mode of the train body as described above when executing the computer program.

[0040] Another aspect of the present invention provides a computer-readable storage medium having a computer program stored thereon, and when the computer program is executed by a processor, the steps of the method for determining the elastic vibration mode of a train body as described above are implemented.

[0041] It can be seen from the above technical solutions that the embodiments of the present invention have the following advantages:

[0042] A method for determining the elastic vibration mode of a train body is provided in an embodiment of the present invention, comprising: constructing a plurality of variable-section free beams based on the body, wherein the plurality of variable-section free beams include non-homogeneous beams; establishing vibration control equations and boundary conditions for each variable-section free beam; obtaining parameter information of each variable-section free beam, and combining the vibration control equations and boundary conditions to obtain the elastic vibration modal characteristics of the body.

[0043] It can be seen that in the embodiment of the present invention, by establishing a multi-section variable-section free beam including a non-homogeneous beam according to the car body, and establishing the vibration control equation and boundary conditions of each section of the variable-section free beam, and then obtaining the parameter information of each section of the variable-section free beam and further combining the established vibration control equation and boundary conditions, the elastic vibration modal characteristics of the car body can be obtained. The whole process is simple and efficient, which can improve the efficiency of determining the elastic vibration mode of the train body, and is conducive to improving the design effect of the train body.

[0044] In addition, the present invention also provides corresponding implementation devices, electronic devices and computer-readable storage media for the method for determining the elastic vibration mode of the train body, further making the method more practical, and the devices, electronic devices and computer-readable storage media have corresponding advantages.

[0045] It is to be understood that the foregoing general description and the following detailed description are exemplary only and are not restrictive of the invention. BRIEF DESCRIPTION OF THE DRAWINGS

[0046] In order to more clearly illustrate the technical solutions in the embodiments of the present invention, the prior art and the drawings required for use in the embodiments are briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without creative work.

[0047] Figure 1 A schematic flow chart of a method for determining elastic vibration modes of a train body provided by an embodiment of the present invention;

[0048] Figure 2 A schematic diagram of a variable-section free beam of a train body provided by an embodiment of the present invention;

[0049] Figure 3 A cross-sectional schematic diagram of a train body profile unit provided by an embodiment of the present invention;

[0050] Figure 4 A geometrical schematic diagram of a train body profile unit provided by an embodiment of the present invention;

[0051] Figure 5 A schematic diagram of the structure of a device for determining elastic vibration modes of a train body provided by an embodiment of the present invention;

[0052] Figure 6 A schematic diagram of the structure of an electronic device provided by an embodiment of the present invention;

[0053] Figure 7 A schematic diagram of the structure of a computer-readable storage medium provided in an embodiment of the present invention. DETAILED DESCRIPTION

[0054] The embodiments of the present invention provide a method, device, electronic device and computer-readable storage medium for determining the elastic vibration mode of a train body, which can improve the efficiency of determining the elastic vibration mode of the train body during use, and is conducive to improving the design effect of the train body.

[0055] In order to make the purpose, technical solution and advantages of the embodiments of the present invention clearer, the technical solution in the embodiments of the present invention will be clearly and completely described below in conjunction with the drawings in the embodiments of the present invention. Obviously, the described embodiments are part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0056] Please refer to Figure 1 , Figure 1 A flow chart of a method for determining elastic vibration modes of a train body provided by an embodiment of the present invention. The method comprises:

[0057] S110: constructing a plurality of variable-section free beams based on the vehicle body, wherein the plurality of variable-section free beams include a non-homogeneous beam;

[0058] It should be noted that in the embodiment of the present invention, the vehicle body is equivalent to a multi-section variable cross-section free beam, where the variable cross-section means that the cross section of each section of the beam has independent geometric parameters and material parameters. For example, there are m sections of variable cross-section free beams, and each section of the variable cross-section free beam is numbered 1, 2, .... n, n+1, ..., m, and the corresponding length of each section is l1, l2, ..., li, li+1, lm. Since some positions in the vehicle body have structures such as doors and windows, the multi-section variable cross-section free beam includes non-homogeneous beams.

[0059] S120: Establish the vibration control equation and boundary conditions of each variable cross-section free beam;

[0060] It should be noted that in practical applications, corresponding vibration control equations and boundary conditions can be established for each variable cross-section free beam. In other words, the process can use the transfer matrix method to establish the elastic vibration equation of the whole vehicle, and introduce the free boundary according to the boundary support conditions of the vehicle body to establish the vehicle body elastic equation.

[0061] Specifically, Figure 2 As shown in the figure, the vehicle body is equivalent to m sections of variable cross-section free beams. For each section of variable cross-section free beam, the variable cross-section free beam can be divided into multiple sections of sub-beams. For example, the j-th section of variable cross-section free beam is divided into k+1 sections of sub-beams, and the length of each section is L i(i=1,2...,k+1), based on Timoshenko beam theory, considering the moment of inertia and shear deformation of the beam, the vibration control equation corresponding to each sub-beam can be established, and the boundary conditions of the head of the first variable cross-section free beam and the end of the last variable cross-section free beam can be established. The i-th sub-beam of the j-th variable cross-section free beam is used as an example for detailed description:

[0062] Considering the moment of inertia and shear deformation of the beam, the vibration control equation of the beam can be expressed as:

[0063] ;

[0064] ;

[0065] in, represents the lateral displacement of the i-th sub-beam of the j-th variable-section free beam at time t at x, represents the lateral rotation angle of the i-th section of the j-th variable-section free beam at time t at x, represents the shear elastic modulus of the i-th sub-beam of the j-th variable-section free beam, represents the moment of inertia of the cross section of the i-th sub-beam of the j-th variable-section free beam close to the neutral axis, represents the density of the i-th sub-beam of the j-th variable-section free beam, represents the cross-sectional area of ​​the i-th sub-beam of the j-th variable-section free beam, It represents the shear shape factor of the cross section of the i-th sub-beam of the j-th variable-section free beam.

[0066] In order to solve the above equations, each sub-beam can be regarded as homogeneous, and then the decoupling is:

[0067] ;

[0068] ;

[0069] in, It represents the elastic modulus of the i-th sub-beam of the j-th variable-section free beam.

[0070] Solve the above partial differential equation using the method of undetermined coefficients:

[0071]

[0072]

[0073] Where ω is the natural frequency of the beam, and Displacement and corners The vibration mode function.

[0074] For The general solution of Duanziliang can be expressed as the following two equations:

[0075] Displacement mode equation:

[0076] ;

[0077] The rotation angle vibration mode equation is:

[0078] ;

[0079] in, , , , They represent the constant coefficients of the i-th sub-beam, i=1,2,3,…k+1;

[0080] ; .

[0081] Since each sub-beam can be expressed by the above-mentioned displacement mode equation and rotation mode equation, which are also continuity equations, the overall vehicle body elastic equation can be obtained based on the displacement mode equations and rotation mode equations corresponding to all sub-beams.

[0082] Since the vehicle body can be approximately regarded as a free beam at both ends installed on the air spring in actual installation, the boundary conditions of the free beam at both ends are considered. For the free beam at both ends, the torque and shear force at both ends are 0, so the boundary conditions established include:

[0083] ,in, represents the elastic modulus of the first sub-beam of the first variable-section free beam, It represents the moment of inertia of the cross section of the first section of the variable-section free beam close to the neutral axis, The shear shape factor of the cross section of the first section of the variable cross-section free beam is: represents the shear elastic modulus of the first section of the variable cross-section free beam, represents the cross-sectional area of ​​the first section of the variable-section free beam, represents the lateral rotation angle of the first section of the first variable-section free beam at time t at x, represents the lateral displacement of the first section of the first variable cross-section free beam at x=0, represents the elastic modulus of the k+1th sub-beam of the mth variable-section free beam, represents the moment of inertia of the cross section of the k+1th sub-beam of the mth variable-section free beam close to the neutral axis, represents the shear elastic modulus of the k+1th sub-beam of the mth variable-section free beam, represents the shear shape factor of the cross section of the k+1th sub-beam of the mth variable-section free beam, represents the cross-sectional area of ​​the k+1th sub-beam of the mth variable-section free beam, represents the lateral rotation angle of the k+1th sub-beam of the mth variable-section free beam at time t at x, It represents the lateral displacement of the k+1th sub-beam of the mth variable-section free beam at the position where x is L.

[0084] S130: Obtain parameter information of each variable-section free beam, and obtain elastic vibration modal characteristics of the vehicle body in combination with vibration control equations and boundary conditions.

[0085] It should be noted that, for each variable-section free beam, the equivalent parameters corresponding to each sub-beam in the variable-section free beam are obtained.

[0086] Specifically, the parameter information of each section of the variable-section free beam may be obtained according to the profile of the vehicle body section, and the obtained parameter information may include equivalent stiffness and bending Poisson's ratio parameters.

[0087] According to the vibration control equation corresponding to each sub-beam, the displacement mode equation and the rotation mode equation are obtained;

[0088] Specifically, for The displacement vibration equation of the segment beam is:

[0089] ;

[0090] The rotation angle vibration mode equation is:

[0091] ;

[0092] According to the displacement vibration mode equation and rotation vibration mode equation of each sub-beam of each variable-section free beam, combined with the corresponding equivalent parameters and boundary conditions, the elastic vibration modal characteristics of each sub-beam are determined;

[0093] According to the elastic vibration modal characteristics of all sub-beams, the elastic vibration modal characteristics of the vehicle body are obtained.

[0094] Specifically, the obtained equivalent stiffness and bending Poisson's ratio parameters can be combined with the displacement mode equation and rotation mode equation of the corresponding sub-beam and the corresponding boundary conditions to obtain the corresponding elastic vibration modal characteristics, that is, the corresponding displacement and rotation angle. For the vehicle body elastic equation composed of the displacement mode equation and rotation mode equation corresponding to each sub-beam of each section of the variable-section free beam, combined with the equivalent stiffness and bending Poisson's ratio parameters corresponding to each sub-beam, the elastic vibration modal characteristics of the whole vehicle can be obtained.

[0095] It should be noted that the process of obtaining the equivalent stiffness and bending Poisson's ratio parameters for the i-th sub-beam in the embodiment of the present invention is as follows:

[0096] Taking the car body section profile as an example, the transverse section is as follows Figure 3 As shown, the car body profile is composed of profile units. For example, each sub-beam corresponds to a profile unit. The geometric diagram of the profile unit is as follows Figure 4 As shown, the various cross-sectional parameters corresponding to the profile unit can be obtained, including: Indicates the profile unit length; Indicates the minimum transverse distance between two stiffeners at the panel connection; Indicates the center distance between the upper and lower panels, i.e. the thickness of the profile unit; , , Respectively represent the thickness of the upper panel, lower panel and rib plate; Indicates the width of the rib; represents the angle between the rib plate and the panel. , , The geometric relationship between:

[0097] ;in, It represents the distance between the lower surface of the upper panel and the upper surface of the lower panel. Indicates the center width of the rib.

[0098] Considering the elastic modulus , shear modulus and Poisson's ratio For a profile element made of isotropic material, when the cross section is subjected to a bending moment (bending moment in the x-direction) and (bending moment in the y direction), torque (torque in xy direction) or transverse shear In this way, the relationship between moment / shear force and deformation is obtained. Direction and Equivalent stiffness in the direction ( , , and ) and bending Poisson's ratio ( and ). The equivalent height and bending Poisson's ratio can be expressed by the following relationship:

[0099]

[0100] in, represents the equivalent stiffness along the x direction, represents the equivalent stiffness along the y direction, represents the equivalent stiffness in the xy plane, represents the shear stiffness along the x direction, represents the bending Poisson's ratio in the x-direction, represents the bending Poisson's ratio in the y direction, represents the moment of inertia relative to the centroid, represents the moment of inertia about the y-axis, represents the moment of inertia relative to the bending center, and Indicates the thickness of the entire plate. , , can be determined by the obtained cross-sectional parameters; E represents the elastic modulus, which can be determined by the material. represents Poisson's ratio, which can also be determined by the material; G represents the shear elastic modulus, which can be determined by E and Calculated.

[0101] Specifically, when the equivalent stiffness ( , , and ) and bending Poisson's ratio ( and ), the shear shape factor of the sub-beam cross section can be further calculated based on the equivalent stiffness and bending Poisson's ratio Combining the above displacement mode equation and rotation mode equation, the displacement of each sub-beam can be further calculated: and corners .

[0102] In other words, according to the above expressions of equivalent height and bending Poisson's ratio, for each sub-beam in each variable-section free beam, for example, the i-th sub-beam of the j-th variable-section free beam, its corresponding equivalent stiffness and bending Poisson's ratio can be expressed as:

[0103]

[0104] .

[0105] in, represents the equivalent stiffness of the i-th sub-beam of the j-th variable-section free beam in the x direction, represents the equivalent stiffness of the i-th sub-beam of the j-th variable-section free beam in the y direction, represents the equivalent stiffness of the i-th section of the j-th variable-section free beam in the xy plane, represents the shear stiffness of the i-th sub-beam of the j-th variable-section free beam along the x direction, represents the bending Poisson's ratio of the i-th section of the j-th variable-section free beam in the x direction, The bending Poisson's ratio of the i-th section of the j-th variable-section free beam in the y direction is: represents the moment of inertia relative to the centroid corresponding to the i-th sub-beam of the j-th variable-section free beam, represents the moment of inertia relative to the y-axis corresponding to the i-th sub-beam of the j-th variable-section free beam, represents the moment of inertia relative to the bending center corresponding to the i-th sub-beam of the j-th variable-section free beam. , , All of them can be determined by the obtained cross-sectional parameters corresponding to the i-th sub-beam of the j-th variable-cross-section free beam; Determined by the material of the i-th sub-beam of the j-th variable-section free beam, represents the Poisson's ratio, which can also be determined by the material of the i-th sub-beam of the j-th variable-section free beam; Can be and Calculated.

[0106] Specifically, for the i-th sub-beam of the j-th variable-section free beam, the equivalent stiffness of the field is obtained ( , , and ) and bending Poisson's ratio ( and ), the shear shape factor of the sub-beam cross section can be further calculated based on the equivalent stiffness and bending Poisson's ratio , further combined with the following relationship:

[0107] ;

[0108] It can be calculated that , , and ,in, , The value of can be determined according to the i-th sub-beam.

[0109] Then, combining the following displacement vibration mode equation and rotation vibration mode equation, the elastic vibration modal characteristics of the i-th sub-beam of the j-th variable cross-section free beam can be calculated: and ,

[0110] ;

[0111] .

[0112] That is, according to the displacement vibration mode equation and rotation vibration mode equation of the whole vehicle corresponding to each sub-beam in each variable-section free beam, the elastic vibration modal characteristics of the whole vehicle can be obtained.

[0113] It can be seen that in the embodiment of the present invention, a multi-section variable-section free beam including a non-homogeneous beam is established according to the car body, and the vibration control equation and boundary conditions of each section of the variable-section free beam are established, and then the parameter information of each section of the variable-section free beam is obtained and further combined with the established vibration control equation and boundary conditions to obtain the elastic vibration modal characteristics of the car body. The whole process has a small amount of calculation, is simple and efficient, can improve the efficiency of determining the elastic vibration mode of the train body, and is beneficial to improving the design effect of the train body.

[0114] The present invention also provides a corresponding device for the elastic vibration mode determination method of the train body, which further makes the method more practical. Among them, the device can be described from the perspective of functional modules and hardware. The following is an introduction to the elastic vibration mode determination device of the train body provided by the present invention. The device is used to implement the elastic vibration mode determination method of the train body provided by the present invention. In this embodiment, the elastic vibration mode determination device of the train body may include or be divided into one or more program modules, and the one or more program modules are stored in a storage medium and executed by one or more processors to complete the elastic vibration mode determination method of the train body disclosed in the above embodiment. The program module referred to in the present invention refers to a series of computer program instruction segments that can complete specific functions, which is more suitable for describing the execution process of the elastic vibration mode determination device of the train body in the storage medium than the program itself. The following description will specifically introduce the functions of each program module of this embodiment. The elastic vibration mode determination device of the train body described below and the elastic vibration mode determination method based on the train body described above can be referred to each other.

[0115] From the perspective of functional modules, see Figure 5 , Figure 5 A structural diagram of a train body elastic vibration mode determination device provided by the present invention in a specific embodiment, the device may include:

[0116] A first construction module 11 is used to construct a plurality of variable-section free beams based on a vehicle body, wherein the plurality of variable-section free beams include non-homogeneous beams;

[0117] The second building module 12 is used to establish the vibration control equation and boundary conditions of each variable cross-section free beam;

[0118] The determination module 13 is used to obtain parameter information of each variable cross-section free beam, and obtain elastic vibration modal characteristics of the vehicle body in combination with the vibration control equation and boundary conditions.

[0119] It should be noted that the elastic vibration mode determination device for the train body provided in the embodiment of the present invention has the same beneficial effects as the elastic vibration mode determination method for the train body in the above-mentioned embodiment, and for the introduction of the elastic vibration mode determination method for the train body involved in the embodiment of the present invention, please refer to the above-mentioned embodiment, and this application will not repeat it here.

[0120] The elastic vibration mode determination device for the train body mentioned above is described from the perspective of functional modules. Furthermore, the present invention also provides an electronic device, which is described from the perspective of hardware. Figure 6 A structural diagram of an electronic device provided in an embodiment of the present application, such as Figure 6 As shown, the electronic equipment includes:

[0121] A memory 20, used for storing computer programs;

[0122] The processor 21 is used to implement the steps of the method for determining the elastic vibration mode of the train body in the above embodiment when executing the computer program.

[0123] The electronic device provided in this embodiment may include but is not limited to a smart phone, a tablet computer, a laptop computer or a desktop computer.

[0124] Among them, the processor 21 may include one or more processing cores, such as a 4-core processor, an 8-core processor, etc. The processor 21 can be implemented in at least one hardware form of DSP (Digital Signal Processing), FPGA (Field-Programmable Gate Array), and PLA (Programmable Logic Array). The processor 21 may also include a main processor and a coprocessor. The main processor is a processor for processing data in the awake state, also known as a CPU (Central Processing Unit); the coprocessor is a low-power processor for processing data in the standby state. In some embodiments, the processor 21 may be integrated with a GPU (Graphics Processing Unit), which is responsible for rendering and drawing the content to be displayed on the display screen. In some embodiments, the processor 21 may also include an AI (Artificial Intelligence) processor, which is used to process computing operations related to machine learning.

[0125] The memory 20 may include one or more computer-readable storage media, which may be non-transitory. The memory 20 may also include a high-speed random access memory, and a non-volatile memory, such as one or more disk storage devices, flash memory storage devices. In some embodiments, the memory 20 may be an internal storage unit of an electronic device, such as a hard disk of a server. In other embodiments, the memory 20 may also be an external storage device of an electronic device, such as a plug-in hard disk equipped on a server, a smart memory card (Smart Media Card, SMC), a secure digital (SecureDigital, SD) card, a flash card (Flash Card), etc. Further, the memory 20 may also include both an internal storage unit of an electronic device and an external storage device. The memory 20 may not only be used to store application software and various types of data installed in the electronic device, such as: the code of the program in the process of executing the elastic vibration mode determination method of the train body, etc., but also be used to temporarily store data that has been output or is to be output. In this embodiment, the memory 20 is at least used to store the following computer program 201, wherein, after the computer program is loaded and executed by the processor 21, the relevant steps of the elastic vibration mode determination method of the train body disclosed in any of the aforementioned embodiments can be implemented. In addition, the resources stored in the memory 20 may also include an operating system 202 and data 203, etc., and the storage method may be temporary storage or permanent storage. The operating system 202 may include Windows, Unix, Linux, etc. The data 203 may include but is not limited to (data corresponding to the elastic vibration mode determination result of the train body), etc.

[0126] In some embodiments, the electronic device may further include a display screen 22, an input / output interface 23, a communication interface 24, a power supply 25, and a communication bus 26. Among them, the display screen 22 and the input / output interface 23, such as a keyboard, belong to the user interface, and the optional user interface may also include a standard wired interface, a wireless interface, and the like. Optionally, in some embodiments, the display may be an LED display, a liquid crystal display, a touch-sensitive liquid crystal display, and an OLED (Organic Light-Emitting Diode) touch device, and the like. The display may also be appropriately referred to as a display screen or a display unit, which is used to display information processed in the electronic device and to display a visual user interface. The communication interface 24 may optionally include a wired interface and / or a wireless interface, such as a WI-FI interface, a Bluetooth interface, and the like, which are generally used to establish a communication connection between the electronic device and other electronic devices. The communication bus 26 may be a peripheral component interconnect (PCI) bus or an extended industry standard architecture (EISA) bus, and the like. The bus may be divided into an address bus, a data bus, a control bus, and the like. For ease of representation, Figure 6 Only one thick line is used in the diagram, but this does not mean that there is only one bus or only one type of bus.

[0127] Those skilled in the art will understand that Figure 6 The structure shown in the figure does not constitute a limitation on the electronic device, and may include more or fewer components than shown in the figure.

[0128] It is understandable that if the elastic vibration mode determination method of the train body in the above embodiment is implemented in the form of a software functional unit and sold or used as an independent product, it can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of the present application is essentially or the part that contributes to the prior art or all or part of the technical solution can be embodied in the form of a software product, and the computer software product is stored in a storage medium to execute all or part of the steps of the various embodiments of the present application. The aforementioned storage medium includes: U disk, mobile hard disk, read-only memory (ROM), random access memory (RAM), electrically erasable programmable ROM, register, hard disk, removable disk, CD-ROM, magnetic disk or optical disk and other media that can store program code.

[0129] Based on this, Figure 7As shown, an embodiment of the present invention further provides a computer-readable storage medium, on which a computer program 31 is stored. When the computer program 31 is executed by a processor, the steps of the elastic vibration mode determination method of the train body as described above are implemented.

[0130] In this specification, each embodiment is described in a progressive manner, and each embodiment focuses on the differences from other embodiments. The same or similar parts between the embodiments can be referred to each other. For the device disclosed in the embodiment, since it corresponds to the method disclosed in the embodiment, the description is relatively simple, and the relevant parts can be referred to the method part.

[0131] It should also be noted that, in this specification, relational terms such as first and second, etc. are only used to distinguish one entity or operation from another entity or operation, and do not necessarily require or imply any such actual relationship or order between these entities or operations. Moreover, the terms "comprise", "include" or any other variants thereof are intended to cover non-exclusive inclusion, so that a process, method, article or device including a series of elements includes not only those elements, but also other elements not explicitly listed, or also includes elements inherent to such process, method, article or device. In the absence of further restrictions, an element defined by the statement "comprises a ..." does not exclude the presence of other identical elements in the process, method, article or device including the element.

[0132] The above description of the disclosed embodiments enables those skilled in the art to implement or use the present invention. Various modifications to these embodiments will be apparent to those skilled in the art, and the general principles defined herein may be implemented in other embodiments without departing from the spirit or scope of the present invention. Therefore, the present invention will not be limited to the embodiments shown herein, but rather to the widest scope consistent with the principles and novel features disclosed herein.

Claims

1. A method for determining elastic vibration modes of a train body, characterized in that: include: Constructing multiple sections of variable-section free beams based on the vehicle body, wherein the multiple sections of the variable-section free beams include non-homogeneous beams; Establishing vibration control equations and boundary conditions for each section of the variable cross-section free beam; Parameter information of each section of the variable-section free beam is obtained, and the elastic vibration modal characteristics of the vehicle body are obtained by combining the vibration control equation and the boundary conditions.

2. The method for determining the elastic vibration mode of a train body according to claim 1, characterized in that: The establishment of the vibration control equation and boundary conditions of each section of the variable cross-section free beam includes: For each section of the variable cross-section free beam, the variable cross-section free beam is divided into a plurality of sections of sub-beams; Establishing a vibration control equation corresponding to each of the sub-beams; Establish boundary conditions at the head of the first variable-section free beam and the end of the last variable-section free beam.

3. The method for determining the elastic vibration mode of a train body according to claim 2, characterized in that: The obtaining of parameter information of each section of the variable cross-section free beam and combining the vibration control equation and the boundary condition to obtain elastic vibration modal characteristics of the vehicle body include: For each section of the variable-section free beam, obtaining the equivalent parameters corresponding to each section of the sub-beam in the variable-section free beam; According to the vibration control equation corresponding to each of the sub-beams, a displacement mode shape equation and an angle mode shape equation are obtained; According to the displacement vibration mode equation and the rotation vibration mode equation of each sub-beam of each section of the variable-section free beam, combined with the corresponding equivalent parameters and the boundary conditions, the elastic vibration modal characteristics of each sub-beam are determined; The elastic vibration modal characteristics of the vehicle body are obtained according to the elastic vibration modal characteristics of all the sub-beams.

4. The method for determining the elastic vibration mode of a train body according to claim 3, characterized in that: The vibration control equation is: ； ； in, represents the lateral displacement of the i-th section of the j-th variable-section free beam at time t at x, represents the lateral rotation angle of the i-th section of the j-th variable-section free beam at time t at x, represents the shear elastic modulus of the i-th sub-beam of the j-th variable-section free beam, represents the moment of inertia of the cross section of the i-th sub-beam of the j-th variable-section free beam close to the neutral axis, represents the density of the i-th sub-beam of the j-th variable-section free beam, represents the cross-sectional area of ​​the i-th sub-beam of the j-th variable-section free beam, It represents the shear shape factor of the cross section of the i-th sub-beam of the j-th variable-section free beam.

5. The method for determining the elastic vibration mode of a train body according to claim 4, characterized in that: The displacement mode equation is: ； The rotation angle vibration mode equation is: ； in, , , , Respectively represent the constant coefficients of the i-th sub-beam; ; ;in, represents the natural frequency of the beam.

6. The method for determining elastic vibration modes of a train body according to claim 4, characterized in that: The variable cross-section free beam constructed based on the vehicle body is m sections, and each section of the variable cross-section free beam is divided into k+1 sub-beams; Then, the boundary conditions include: ,in, represents the elastic modulus of the first sub-beam of the first variable-section free beam, It represents the moment of inertia of the cross section of the first section of the variable-section free beam close to the neutral axis, The shear shape factor of the cross section of the first section of the variable cross-section free beam is: represents the shear elastic modulus of the first section of the variable cross-section free beam, represents the cross-sectional area of ​​the first section of the variable-section free beam, represents the lateral rotation angle of the first section of the first variable-section free beam at time t at x, represents the lateral displacement of the first section of the first variable cross-section free beam at x=0, represents the elastic modulus of the k+1th sub-beam of the mth variable-section free beam, represents the moment of inertia of the cross section of the k+1th sub-beam of the mth variable-section free beam, represents the shear elastic modulus of the k+1th sub-beam of the mth variable-section free beam, represents the shear shape factor of the cross section of the k+1th sub-beam of the mth variable-section free beam, represents the cross-sectional area of ​​the k+1th sub-beam of the mth variable-section free beam, represents the lateral rotation angle of the k+1th sub-beam of the mth variable-section free beam at time t at x, It represents the lateral displacement of the k+1th sub-beam of the mth variable-section free beam at the position where x is L.

7. The method for determining elastic vibration modes of a train body according to claim 4, characterized in that: The equivalent parameters include equivalent stiffness and bending Poisson's ratio.

8. A device for determining elastic vibration modes of a train body, characterized in that: include: A first construction module is used to construct a plurality of variable-section free beams based on a vehicle body, wherein the plurality of variable-section free beams include non-homogeneous beams; The second building module is used to establish the vibration control equation and boundary conditions of each section of the variable cross-section free beam; The determination module is used to obtain parameter information of each section of the variable-section free beam, and obtain elastic vibration modal characteristics of the vehicle body in combination with the vibration control equation and the boundary conditions.

9. An electronic device, characterized in that: include: Memory for storing computer programs; A processor is used to implement the steps of the method for determining the elastic vibration mode of a train body as described in any one of claims 1 to 7 when executing the computer program.

10. A computer-readable storage medium, characterized in that: The computer-readable storage medium stores a computer program, which, when executed by a processor, implements the steps of the method for determining the elastic vibration mode of a train body as claimed in any one of claims 1 to 7.

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