Tire modal shape identification method and device

Abstract

The invention discloses a tire modal shape identification method and device. The method comprises the following steps: performing modal analysis on a tire simulation model of a target tire to obtain inherent frequencies and vibration modes corresponding to a plurality of vibration modes; for each vibration mode, carrying out first processing operation on all nodes in the circumferential section of the belted layer of the tire simulation model under the vibration mode to obtain a corresponding radial vibration characteristic curve, and carrying out second processing operation on all nodes in the radial section of the belted layer of the tire simulation model under the vibration mode to obtain a radial vibration characteristic curve; obtaining a corresponding transverse vibration characteristic curve, and determining a radial order and a transverse order corresponding to the vibration mode according to the radial vibration characteristic curve and the transverse vibration characteristic curve; and taking the inherent frequencies and vibration modes corresponding to the plurality of vibration modes, and the radial orders and the transverse orders corresponding to the vibration modes as modal vibration mode identification results. The technical problem that the vibration mode characteristics of the tire simulation model in the high-order mode cannot be accurately identified in the prior art is solved.

Description

TECHNICAL FIELD

[0001] The present application relates to the technical field of tire modal analysis, in particular to a tire modal vibration mode identification method and device. BACKGROUND

[0002] With the automobile industry in China entering the high-quality development stage, consumers' requirements for automobile NVH (noise, vibration and harshness) performance are increasingly stringent, which is directly related to the comfort of driving experience, vehicle quality and even the brand image of automobile manufacturers. Therefore, the optimization of the NVH performance of the tire is extremely important to improve the user driving experience. The optimization of the NVH performance of the tire, especially the solution of the vibration problem, is closely related to modal analysis.

[0003] Modal analysis is an important means of studying the vibration characteristics (i.e. the inherent vibration mode, commonly known as modal vibration mode) of the tire at different frequencies. In the early stage of tire design, modal analysis using the finite element method is a common means. In the low-order modal range, the modal density is low, the vibration mode characteristics are clear, and the modal identification can be easily observed and judged by artificial observation. However, as the modal order increases, the modal density increases rapidly, and the vibration mode characteristics become more complex, with slight differences between each other. Artificial identification is not only time-consuming and laborious, but also limited in accuracy, especially when dealing with high-order modal vibration modes with high modal density and complex vibration modes, artificial identification is almost impossible. Therefore, an automatic tire modal vibration mode identification method is needed to replace artificial identification and accurately identify high-order modal vibration modes. SUMMARY

[0004] The embodiments of the present application provide a tire modal vibration mode identification method and device to at least solve the technical problem that the related art cannot accurately identify the vibration mode characteristics of the tire simulation model at high-order modes.

[0005] According to an aspect of an embodiment of the present application, a tire modal vibration mode identification method is provided, comprising: performing modal analysis on a tire simulation model of a target tire to obtain a plurality of vibration modes each corresponding to an inherent frequency and a vibration mode; for each vibration mode, performing a first processing operation on all nodes in the belt circumferential section of the tire simulation model under the vibration mode to obtain a radial vibration characteristic curve of the tire simulation model under the vibration mode, and performing a second processing operation on all nodes in the belt meridian direction section of the tire simulation model under the vibration mode to obtain a transverse vibration characteristic curve of the tire simulation model under the vibration mode, and determining the radial order and the transverse order corresponding to the vibration mode according to the radial vibration characteristic curve and the transverse vibration characteristic curve respectively, wherein the first processing operation at least includes: node coordinate system transformation, and the second processing operation at least includes: node coordinate projection; and taking the inherent frequency, the vibration mode, and the radial order and the transverse order corresponding to the vibration mode of each of the plurality of vibration modes as the modal vibration mode identification result of the target tire.

[0006] Optionally, the tire simulation model of the target tire is subjected to modal analysis to obtain a plurality of vibration modes each corresponding to a modal analysis result, including: constructing a tire simulation model of the target tire; determining boundary conditions, wherein the boundary conditions at least include: the inflation pressure satisfying a preset tire pressure requirement, no external load on the target tire, and the natural frequency of the target tire under different vibration modes being less than a vibration frequency threshold; calling a finite element software to perform modal analysis on the tire simulation model of the target tire according to the boundary conditions to obtain a plurality of vibration modes each corresponding to a modal analysis result.

[0007] Optionally, the vibration mode is used to reflect the vibration amplitude of each node on the target tire when the target tire vibrates at the corresponding natural frequency, wherein the first processing operation is performed on all nodes in the belt circumferential section of the tire simulation model under the vibration mode to obtain a radial vibration characteristic curve of the tire simulation model under the vibration mode, including: determining the belt circumferential section of the tire simulation model under the vibration mode, wherein the belt circumferential section is the symmetry plane of the belt of the tire simulation model; for each node in the belt circumferential section, determining the initial spatial coordinates and the vibration amplitude of the node in the Cartesian coordinate system, and determining the modal vibration mode coordinates of the corresponding node according to the initial spatial coordinates and the vibration amplitude of the node, and converting the modal vibration mode coordinates of the node from the Cartesian coordinate system to the polar coordinate system to obtain the first spatial coordinates of the node; and combining the first spatial coordinates of each node in the belt circumferential section to obtain the radial vibration characteristic curve of the tire simulation model under the vibration mode.

[0008] Optionally, the vibration mode is also used to reflect the vibration displacement of each node on the target tire when the target tire vibrates at the corresponding natural frequency, wherein the second processing operation is performed on all nodes on the belt meridional section of the tire simulation model to obtain a lateral vibration characteristic curve of the tire simulation model under the vibration mode, including: determining the belt circumferential section of the tire simulation model under the vibration mode, and determining a target node with the maximum absolute value of vibration displacement in the belt circumferential section; determining the belt meridional section of the target node according to the normal vector of the belt circumferential section, wherein the belt meridional section is a plane passing through the target node and extending radially along the target tire, and the normal vector of the belt meridional section is orthogonal to the normal vector of the belt circumferential section; for each node in the belt meridional section, determining the initial spatial coordinates and the vibration amplitude of the node in the Cartesian coordinate system, and determining the modal vibration mode coordinates of the corresponding node according to the initial spatial coordinates and the vibration amplitude of the node; projecting the modal vibration mode coordinates of the node to a target plane to obtain the second spatial coordinates of the node, wherein the target plane coincides with the belt meridional section; and combining the second spatial coordinates of each node in the belt meridional section of the target node to obtain the lateral vibration characteristic curve of the tire simulation model under the vibration mode.

[0009] Optionally, determining the modal shape coordinate of the corresponding node according to the initial spatial coordinate and the vibration amplitude of the node comprises: performing normalization processing on the initial spatial coordinate and the vibration amplitude of the node respectively; and adding the normalized initial spatial coordinate and the normalized vibration amplitude to obtain the modal shape coordinate of the node.

[0010] Optionally, the radial vibration characteristic curve of the tire simulation model under the vibration mode is obtained by combining the first spatial coordinates of the nodes in the belt circumferential section, comprising: fitting the first spatial coordinates of the nodes in the belt circumferential section by using a cubic spline interpolation method to obtain the radial vibration characteristic curve of the tire simulation model under the vibration mode; and the lateral vibration characteristic curve of the tire simulation model under the vibration mode is composed of the second spatial coordinates of the nodes in the belt meridian direction section where the target node is located, comprising: fitting the second spatial coordinates of the nodes in the belt meridian direction section where the target node is located by using a cubic spline interpolation method to obtain the lateral vibration characteristic curve of the tire simulation model under the vibration mode.

[0011] Optionally, the radial order and the lateral order corresponding to the vibration mode are determined according to the radial vibration characteristic curve and the lateral vibration characteristic curve respectively, comprising: determining the first intersection number of the radial vibration characteristic curve with a unit circle, and determining the second intersection number of the spatial coordinates of the projection of the lateral vibration characteristic curve when all the nodes on the belt meridian direction section where the target node is located are in a static state; taking the quotient value of the first intersection number and 2 as the radial order of the vibration mode, and taking the second intersection number as the lateral order of the vibration mode.

[0012] According to another aspect of the embodiments of the present application, a tire modal shape identification device is also provided, comprising: an analysis module configured to perform modal analysis on a tire simulation model of a target tire to obtain a plurality of vibration modes each corresponding to an inherent frequency and a vibration mode; an identification module configured to, for each vibration mode, perform a first processing operation on all the nodes in a belt circumferential section of the tire simulation model under the vibration mode to obtain a radial vibration characteristic curve of the tire simulation model under the vibration mode, and perform a second processing operation on all the nodes in a belt meridian direction section of the tire simulation model under the vibration mode to obtain a lateral vibration characteristic curve of the tire simulation model under the vibration mode, wherein the first processing operation at least includes node coordinate system transformation, and the second processing operation at least includes node coordinate projection; the radial order and the lateral order corresponding to the vibration mode are determined according to the radial vibration characteristic curve and the lateral vibration characteristic curve respectively; and a determination module configured to take the inherent frequency, the vibration mode, the radial order and the lateral order corresponding to the vibration mode of the plurality of vibration modes each as a modal shape identification result of the target tire.

[0013] According to another aspect of the embodiments of the present application, a computer program product is also provided, which comprises a computer program, wherein the computer program, when executed by a processor, implements the tire modal vibration mode identification method described above.

[0014] According to another aspect of the embodiments of the present application, an electronic device is also provided, which comprises a memory and a processor, wherein the memory stores a computer program, and the processor is configured to execute the tire modal vibration mode identification method described above through the computer program.

[0015] In the embodiments of the present application, the modal analysis is performed on the tire simulation model of the target tire to obtain a plurality of vibration modes each corresponding to a modal analysis result, including an inherent frequency and a vibration mode. For each vibration mode, a specific processing operation is performed on all nodes in the belt circumferential section and all nodes in the belt meridian direction section of the tire simulation model under the vibration mode, and the node coordinates in the belt circumferential and meridian direction are displayed in a curve form to obtain a corresponding radial vibration characteristic curve and a transverse vibration characteristic curve. Then, the radial order and the transverse order corresponding to the vibration mode are determined according to the radial vibration characteristic curve and the transverse vibration characteristic curve. Finally, the inherent frequency, the vibration mode, and the radial order and the transverse order corresponding to the vibration mode of each of the plurality of vibration modes are taken as the modal vibration mode identification result of the target tire. Thus, the technical effect of automatically and accurately identifying the high-order modal vibration mode of the tire is achieved, the limitations of manual identification in the face of high-order modes are effectively overcome, the efficiency and accuracy of identification are improved, and the purpose of providing strong technical support for tire NVH performance optimization is achieved. Further, the technical problem that the related art cannot accurately identify the vibration mode characteristics of the tire simulation model under the high-order mode is solved. BRIEF DESCRIPTION OF DRAWINGS

[0016] The accompanying drawings, which are included to provide a further understanding of the present application, form a part of the present application and illustrate the illustrative embodiments of the present application and the explanation of the present application, and do not constitute improper limitations on the present application. In the drawings:

[0017] Figure 1 is a flowchart of an optional tire modal vibration mode identification method according to an embodiment of the present application;

[0018] Figure 2 is a vibration mode schematic diagram of a tire simulation model under the 27th frame according to an embodiment of the present application;

[0019] Figure 3 is a vibration mode schematic diagram of a tire simulation model under the 97th frame according to an embodiment of the present application;

[0020] Figure 4is a schematic diagram of a radial vibration characteristic curve of an optional tire simulation model according to an embodiment of the present application at the 27th frame;

[0021] Figure 5 is a schematic diagram of a radial vibration characteristic curve of an optional tire simulation model according to an embodiment of the present application at the 97th frame;

[0022] Figure 6 is a schematic diagram of a lateral vibration characteristic curve of an optional tire simulation model according to an embodiment of the present application at the 27th frame;

[0023] Figure 7 is a schematic diagram of a lateral vibration characteristic curve of an optional tire simulation model according to an embodiment of the present application at the 97th frame;

[0024] Figure 8 is a schematic diagram of an optional modal shape identification result according to an embodiment of the present application;

[0025] Figure 9a is a schematic diagram of an optional modal shape identification result of different order radial modes according to an embodiment of the present application;

[0026] Figure 9b is a schematic diagram of an optional modal shape identification result of different order lateral modes according to an embodiment of the present application;

[0027] Figure 10 is a schematic diagram of an optional tire modal shape identification device according to an embodiment of the present application;

[0028] Figure 11 is a schematic diagram of an optional electronic device according to an embodiment of the present application. DETAILED DESCRIPTION

[0029] In order to enable persons skilled in the art to better understand the present application, the technical solutions in the embodiments of the present application will be described clearly and completely below with reference to the drawings in the embodiments of the present application. Obviously, the described embodiments are only a part of the embodiments of the present application, rather than all the embodiments of the present application. Based on the embodiments in the present application, all other embodiments obtained by persons skilled in the art without creative labor should fall within the scope of protection of the present application.

[0030] It should be noted that the terms "first", "second", etc. in the specification and claims of the present application and the drawings are used to distinguish similar objects, and do not necessarily have to describe a specific order or sequence. It should be understood that the data thus used can be interchanged under appropriate circumstances, so that the embodiments of the present application described herein can be implemented in an order other than that illustrated or described herein. In addition, the terms "include" and "have" and any variations thereof are intended to cover non-exclusive inclusion, for example, a process, method, system, product or device including a series of steps or units does not have to be limited to only those steps or units clearly listed, but can include other steps or units not clearly listed or inherent to these processes, methods, products or devices.

[0031] In order to better understand the embodiments of the present application, first, some nouns or terms appearing in the description of the embodiments of the present application are translated and explained as follows:

[0032] Cubic Spline method: It is a commonly used numerical analysis method, which can fit a smooth continuous function curve by giving a set of discrete point data. The basic idea is to use a cubic polynomial to approximate the data in a small interval, and use the connection conditions of these polynomials to ensure the smoothness of the entire curve.

[0033] Embodiment 1

[0034] According to the embodiments of the present application, a tire modal vibration mode identification method is provided. It should be noted that the steps shown in the flowchart of the drawings can be executed in a computer system such as a set of computer executable instructions, and although the logical order is shown in the flowchart, in some cases, the steps shown or described herein can be executed in an order different from that shown herein.

[0035] Figure 1 is a flowchart of a tire modal vibration mode identification method according to the embodiments of the present application, as shown in Figure 1 The method comprises the following steps:

[0036] Step S102, modal analysis is performed on the tire simulation model of the target tire to obtain the natural frequency and vibration mode corresponding to each of the plurality of vibration modes.

[0037] In the technical solution provided in the above step S102, the modal analysis result refers to the data set obtained under different vibration modes (i.e. vibration patterns) after modal analysis is performed on the tire simulation model of the target tire, which includes but is not limited to natural frequency and vibration mode.

[0038] In step S104, for each mode shape, a first processing operation is performed on all nodes in the belt circumferential section of the tire simulation model under the mode shape to obtain a radial vibration characteristic curve of the tire simulation model under the mode shape, and a second processing operation is performed on all nodes in the belt meridian direction section of the tire simulation model under the mode shape to obtain a lateral vibration characteristic curve of the tire simulation model under the mode shape, and the radial order and the lateral order corresponding to the mode shape are determined according to the radial vibration characteristic curve and the lateral vibration characteristic curve respectively.

[0039] In the technical solution provided in step S104, for each modal analysis result (i.e., each mode shape), the radial vibration characteristic curve and the lateral vibration characteristic curve are obtained by performing the first processing operation (node coordinate system transformation) on all nodes in the belt circumferential section of the tire simulation model and performing the second processing operation (e.g., node coordinate projection) on all nodes in the belt meridian direction section of the tire simulation model. The radial vibration characteristic curve and the lateral vibration characteristic curve respectively exhibit the vibration characteristics of the target tire belt in the circumferential direction and the meridian direction, and therefore these curves can clearly reveal the radial characteristics and the lateral characteristics of the tire mode shape.

[0040] In step S106, the natural frequency, the mode shape, and the radial order and the lateral order corresponding to the mode shape of each vibration mode are taken as the mode shape identification result of the target tire.

[0041] In the technical solution provided in step S106, the modal analysis results, the radial orders, and the lateral orders of the multiple vibration modes of the target tire are integrated, and these information is output in the form of a table or other data to form the mode shape identification result of the target tire.

[0042] Based on the scheme defined in steps S102 to S106, in the embodiments of the present application, by performing modal analysis on the tire simulation model of the target tire, a plurality of vibration modes each corresponding to a modal analysis result is obtained, including the natural frequency and the mode shape; for each mode shape, by performing specific processing operations on all nodes in the belt circumferential section and all nodes in the belt meridional section of the tire simulation model under the mode shape, and by displaying the node coordinates of the belt circumferential and meridional directions in the form of a curve, the corresponding radial vibration characteristic curve and the transverse vibration characteristic curve are obtained, and then the radial order and the transverse order corresponding to the mode shape are determined according to the radial vibration characteristic curve and the transverse vibration characteristic curve; finally, the natural frequency, the mode shape, and the radial order and the transverse order corresponding to the mode shape of each of the plurality of vibration modes are taken as the modal shape recognition result of the target tire. Thus, the technical effect of automatically and accurately identifying the high-order modal shape of the tire is achieved, effectively overcoming the limitations of manual identification in the face of high-order modes, improving the efficiency and accuracy of identification, and achieving the purpose of providing strong technical support for tire NVH performance optimization.

[0043] The steps of the tire modal shape recognition method will be described below in combination with a specific implementation process.

[0044] As an optional implementation, in the technical scheme provided in step S102, the method can include:

[0045] Step S1021, constructing a tire simulation model of the target tire. Specifically, this step is to use professional modeling software (such as Abaqus or ANSYS) to construct a tire simulation model according to the geometric dimensions and material properties of the target tire, wherein the tire simulation model contains all key structural components such as tread, belt, crown belt, carcass, sidewall, and rim.

[0046] Step S1022, determining the boundary conditions. The boundary conditions include at least: (1) the inflation pressure meets the preset tire pressure requirement, to meet the preset tire pressure requirement, which is usually based on the working pressure during tire design; (2) there is no external load on the target tire, to ensure that the tire does not bear any external load except its own weight during modal analysis, to accurately capture the free vibration characteristics; (3) the natural frequency of the target tire under different vibration modes is less than the vibration frequency threshold, to screen out vibration modes with a natural frequency lower than the threshold. Since the modes in the low-to-medium frequency range have the greatest impact on the NVH performance of the tire, the vibration frequency threshold can be set in the low-to-medium frequency range (such as 0-500 Hz).

[0047] Step S1023, calling finite element software, and performing modal analysis on the tire simulation model of the target tire according to the boundary conditions to obtain the modal analysis results corresponding to each of the multiple order vibration modes. That is, calling the modal analysis module of the finite element software, and inputting the above-mentioned set boundary conditions to limit the modal solution of the tire simulation model. The modal analysis module can automatically calculate the modal analysis results of the tire under different vibration modes. Among them, the natural frequency refers to the frequency of the target tire vibrating by itself under the condition of no external excitation; and the vibration mode describes the displacement distribution state of each node when the target tire vibrates, which reflects the vibration amplitude (i.e. the maximum offset from the equilibrium position) and the vibration displacement (i.e. the distance from the vibration position of the node to the equilibrium position) of each node on the target tire when the target tire vibrates at the corresponding natural frequency.

[0048] As an optional implementation, in the technical solution provided in step S104, the radial vibration characteristic curve of the tire simulation model under the vibration mode can be obtained by the following method, comprising:

[0049] Step S11, determining the belt circumferential section of the tire simulation model under the vibration mode. The belt circumferential section is the symmetry plane of the belt of the tire simulation model, so its normal vector is parallel to the rotation axis of the target tire.

[0050] Step S12, for each node in the belt circumferential section, determining the initial spatial coordinates and vibration amplitude of the node in the Cartesian coordinate system, and determining the modal vibration mode coordinates of the corresponding node according to the initial spatial coordinates and vibration amplitude of the node, and converting the modal vibration mode coordinates of the node from the Cartesian coordinate system to the polar coordinate system to obtain the first spatial coordinates of the node.

[0051] Optionally, in the technical solution provided in step S12, the method can be implemented by the following steps: normalizing the initial spatial coordinates and vibration amplitude of the node respectively; adding the normalized initial spatial coordinates and the normalized vibration amplitude to obtain the modal vibration mode coordinates of the node.

[0052] Specifically, the set of all nodes in the belt circumferential section is denoted as Circumference_NodeSet. Then for each node in the set Circumference_NodeSet, the initial spatial coordinates and vibration amplitude of the node can be normalized. For example, the processing method of the horizontal coordinate x i of node i is as follows:

[0053] x i _nor=x i / max(x1,y1,z1,x2,y2,z2,…,x i ,y i ,zi ,…)

[0054] the remaining variables y i ,z i ,dx i ,dy i ,dz i are processed in a similar manner and are not described again. Finally, the normalized initial spatial coordinates and the normalized vibration amplitudes x i _nor,y i _nor,z i _nor,dx i _nor,dy i _nor,dz i _nor are added to obtain the modal shape coordinates (X inor ,Y inor ,Z inor ) of the node, wherein the expression of each coordinate value in the modal shape coordinates is as follows:

[0055] Further, the coordinates of the node i in the belt circumferential section are converted from the Cartesian coordinate system to the polar coordinate system to obtain the polar coordinates (θ i ,ρ i ), i.e., the first spatial coordinates of the node i, wherein θ i represents the angle of the node i relative to the rotation direction of the tire, and ρ i represents the vertical distance of the node i from the rotation center axis of the tire.

[0056] In step S13, the radial vibration characteristic curve of the tire simulation model under the vibration mode is obtained by combining the first spatial coordinates of each node in the belt circumferential section.

[0057] However, since each node in the belt circumferential section is a discrete data point, it may have some small fluctuations or noise. Therefore, the embodiments of the present application propose to remove these unnecessary fluctuations by interpolation fitting, so as to more accurately reflect the real vibration behavior of the target tire in the belt circumferential direction. At the same time, the curve after interpolation fitting can better reflect the periodicity and symmetry of the vibration mode, thereby improving the accuracy of feature extraction.

[0058] Alternatively, in the technical solution provided in the above step S13, the radial vibration characteristic curve can be obtained by fitting the first spatial coordinates of each node in the belt circumferential section by using a cubic spline interpolation method, wherein the curve can clearly depict the radial vibration characteristics of the target tire in the belt circumferential direction.

[0059] For example, Figure 2 is a schematic diagram of a mode shape of an optional tire simulation model according to an embodiment of the present application at the 27th frame (i.e., the 27th vibration mode), Figure 3 is a schematic diagram of a mode shape of an optional tire simulation model according to an embodiment of the present application at the 97th frame (i.e., the 97th vibration mode). Figure 4 is Figure 2 the radial vibration characteristic curve (i.e., the circumferential characteristic curve) of the model mode shape shown in FIG. 8A, and Figure 5 is Figure 3 the radial vibration characteristic curve of the model mode shape shown in FIG. 8B. In the above two figures, Figure 4 and Figure 5 the dashed line in each of the above figures represents the initial positions of all the nodes in the belt circumferential section of the tire simulation model at the corresponding frame, and the solid line represents the mode shape.

[0060] In the above embodiments, by performing node coordinate system transformation and linear interpolation on all the nodes in the belt circumferential section of the tire simulation model at the mode shape, complex three-dimensional space data is converted into a two-dimensional vibration characteristic curve, greatly improving the accuracy and efficiency of the radial order recognition.

[0061] As an optional implementation, in the technical solution provided in the above step S104, the lateral vibration characteristic curve of the tire simulation model at the mode shape can be obtained in the following manner, comprising:

[0062] Step S21, determining the belt circumferential section of the tire simulation model at the mode shape, and determining a target node with the maximum absolute value of vibration displacement in the belt circumferential section.

[0063] Step S22, determining the belt meridian direction section where the target node is located according to the normal vector of the belt circumferential section.

[0064] Specifically, if the set of all nodes in the belt circumferential section is denoted as Circumference_NodeSet, and the initial space coordinates and vibration amplitude of each node in the Cartesian coordinate system can be denoted as [x i ,y i ,z i ,dx i ,dy i ,dz i ], where i represents the number of the node. Then the absolute value of the vibration position of each node in the interface can be represented as Therefore, according to D i the target node with the maximum absolute value of vibration displacement in the belt circumferential section can be screened out, denoted as I.

[0065] Since this target node I can reflect the key features of the vibration mode of the current order, a plane obtained by passing through the target node and extending along the radial direction of the target tire is taken as a belt meridian direction section, so as to ensure that the vibration features of the area near the target node I in the meridian direction can be accurately captured, wherein the normal vector of the belt meridian direction section is orthogonal to the normal vector of the belt circumferential direction section.

[0066] In step S23, for each node in the belt meridian direction section, the initial spatial coordinates and the vibration amplitude of the node in the Cartesian coordinate system are determined, and the modal shape coordinates of the corresponding node are determined according to the initial spatial coordinates and the vibration amplitude of the node; the modal shape coordinates of the node are projected to the target plane to obtain the second spatial coordinates of the node. The target plane coincides with the belt meridian direction section.

[0067] Optionally, in the technical solution provided in the above step S23, the method can be implemented by the following steps: the initial spatial coordinates and the vibration amplitude of the node are normalized respectively; the normalized initial spatial coordinates and the normalized vibration amplitude are added to obtain the modal shape coordinates of the node.

[0068] Specifically, the set of all nodes in the belt meridian direction section where the target node is located is denoted as Meridian_NodeSet. Then for each node in the set Meridian_NodeSet, the initial spatial coordinates and the vibration amplitude of the node can be normalized.

[0069] Further, the coordinates (X inor ,Y inor ) of the node i in the belt meridian direction section are projected to the target plane to obtain the two-dimensional plane coordinates, i.e. the second spatial coordinates of the node i.

[0070] In step S24, the second spatial coordinates of each node in the belt meridian direction section where the target node is located are used to form a lateral vibration characteristic curve of the tire simulation model under the vibration mode.

[0071] Similarly, since each node in the belt meridian direction section is a discrete data point, the lateral vibration characteristic curve can be obtained by referring to the implementation manner of the above step S13, that is: the second spatial coordinates of each node in the belt meridian direction section where the target node is located are fitted by using the cubic spline interpolation method to obtain the lateral vibration characteristic curve of the tire simulation model under the vibration mode, wherein the curve can clearly depict the lateral vibration features of the target tire in the belt meridian direction.

[0072] For example, Figure 5 yes Figure 2 The model mode shape shown has a transverse vibration characteristic curve (i.e., a circumferential characteristic curve in the meridional direction), while Figure 6 That is Figure 3 The transverse vibration characteristic curves of the model mode shape are shown. Among them, Figure 5 and Figure 6 The dashed lines in the figure represent the initial spatial coordinates of each node in the meridian direction section of the belt layer of the tire simulation model in the corresponding frame, while the solid lines represent the mode shapes.

[0073] It should be noted that the execution order of steps S11-S13 and S21-S23 can be executed simultaneously; alternatively, steps S11-S13 can be executed first, followed by steps S21-S23; or alternatively, steps S21-S23 can be executed first, followed by steps S11-S13. This application does not impose specific restrictions in this regard, and the specific settings can be determined based on the actual application scenario.

[0074] As an optional implementation, in the technical solution provided in step S104 above, the radial order and transverse order corresponding to the vibration mode can be determined according to the following method:

[0075] Step 1: Determine the number of first intersections between the radial vibration characteristic curve and the unit circle, and determine the number of second intersections between the transverse vibration characteristic curve and the spatial coordinates of all nodes on the meridian section of the belt layer where the target node is located when they are in a static state.

[0076] Step 2: Take the quotient of the number of the first intersection points and 2 as the radial order of the vibration mode, and take the number of the second intersection points as the transverse order of the vibration mode.

[0077] If the number of the first intersection points is denoted as r and the number of the second intersection points is denoted as m, then the radial order of the vibration mode is Radial_Order = r / 2 and the transverse order is Meridional_Order = m.

[0078] Finally, the modal codes, fixed frequencies, mode shapes, and their corresponding radial and lateral orders for each vibration mode are output in Excel format to form the modal shape identification results. Figure 8 As shown.

[0079] Further, for the radial mode and the lateral mode concerned in the tire NVH modal test, the table data of the modal mode shape recognition result can be screened to obtain: screening Meridional_Order = 0, obtaining the radial 1st mode, the radial 2nd mode,..., the radial nth mode, as shown in Figure 9a ; screening Meridional_Order = 1, obtaining the lateral 1st mode, the lateral 2nd mode,..., the lateral nth mode, as shown in Figure 9b .

[0080] In the tire modal mode shape recognition method introduced above, in the high-order modal recognition scenario, the radial characteristics and the lateral characteristics of each mode shape are extracted and analyzed in the belt circumferential direction and the meridional direction respectively, so as to distinguish and recognize different types of vibration modes. Compared with manually observing the finite element analysis results and subjectively judging the mode shape characteristics, the modes can be automatically identified and classified, which greatly improves the accuracy and reliability of the recognition, and reduces the dependence on the experience of professionals. In this process, by converting the data in the Cartesian coordinate system into the polar coordinate system and projecting the three-dimensional space coordinates to the target plane, the scheme can effectively handle the high modal density situation, ensuring that the vibration characteristics of the nodes can be accurately extracted even in complex conditions. Then, a smooth mode shape curve is generated by cubic spline interpolation fitting. This mathematical processing technology not only improves the smoothness and continuity of the data, but also facilitates further feature extraction and pattern recognition.

[0081] Embodiment 2

[0082] According to the embodiments of the present application, a tire modal mode shape recognition device for implementing the tire modal mode shape recognition method in Embodiment 1 is also provided, as shown in Figure 10 , which at least includes: an analysis module 12, a recognition module 14 and a determination module 16, wherein:

[0083] The analysis module 12 is configured to perform modal analysis on the tire simulation model of the target tire to obtain the natural frequency and the mode shape corresponding to each vibration mode.

[0084] The recognition module 14 is configured to, for each mode shape, perform a first processing operation on all nodes in the belt circumferential cross-section of the tire simulation model under the mode shape to obtain a radial vibration characteristic curve of the tire simulation model under the mode shape, and perform a second processing operation on all nodes in the belt meridional cross-section of the tire simulation model under the mode shape to obtain a lateral vibration characteristic curve of the tire simulation model under the mode shape, and determine the radial order and the lateral order corresponding to the mode shape according to the radial vibration characteristic curve and the lateral vibration characteristic curve respectively, wherein the first processing operation at least includes: node coordinate system transformation, and the second processing operation at least includes: node coordinate projection.

[0085] The determining module 16 is configured to determine the natural frequency, the vibration mode, and the corresponding radial order and transverse order of each vibration mode as the modal vibration identification result of the target tire.

[0086] The functions of the modules of the tire modal vibration identification device will be described in detail below in combination with the specific implementation process.

[0087] As an optional implementation, the analysis module 12 can obtain the modal analysis result of each vibration mode of the target tire by the following method, which includes:

[0088] First step: constructing a tire simulation model of the target tire. Specifically, this step is to construct a tire simulation model in detail by using professional modeling software according to the geometric size and material properties of the target tire, wherein the tire simulation model contains all key structural components such as the tread, belt layer, crown layer, carcass, sidewall, and rim.

[0089] Second step: determining the boundary conditions. The boundary conditions at least include: (1) the inflation pressure meets the preset tire pressure requirement, so as to meet the preset tire pressure requirement, which is usually based on the working pressure during tire design; (2) there is no external load on the target tire, so as to ensure that the tire does not bear any external load except the self-weight during the modal analysis, so as to accurately capture the free vibration characteristics; (3) the natural frequency of the target tire under different vibration modes is less than the vibration frequency threshold, so as to screen out the vibration modes with the natural frequency less than the threshold. Since the modes in the low-to-medium frequency range have the greatest impact on the NVH performance of the tire, the vibration frequency threshold can be set in the low-to-medium frequency range.

[0090] Third step: calling the finite element software to perform modal analysis on the tire simulation model of the target tire according to the boundary conditions, so as to obtain the modal analysis result of each vibration mode. The natural frequency in the modal analysis result refers to the frequency of the target tire vibrating by itself without external excitation; and the vibration mode in the modal analysis result describes the displacement distribution state of each node when the target tire vibrates, which reflects the vibration amplitude (i.e., the maximum deviation from the equilibrium position) and the vibration displacement (i.e., the distance from the vibration position to the equilibrium position) of each node on the target tire when the target tire vibrates at the corresponding natural frequency.

[0091] As an optional implementation, the identification module 14 can obtain the radial vibration characteristic curve of the tire simulation model under the vibration mode by the following method, which includes:

[0092] First step: determine the belt circumferential section of the tire simulation model under the mode shape. The belt circumferential section is the symmetry plane of the belt of the tire simulation model, so its normal vector is parallel to the rotation axis of the target tire.

[0093] Second step: for each node in the belt circumferential section, determine the initial spatial coordinates and vibration amplitude of the node in the Cartesian coordinate system, and determine the modal shape coordinates of the corresponding node according to the initial spatial coordinates and vibration amplitude of the node, and convert the modal shape coordinates of the node from the Cartesian coordinate system to the polar coordinate system to obtain the first spatial coordinates of the node.

[0094] Optionally, in the technical solution provided in the second step, the recognition module 14 can obtain the modal shape coordinates of the node by the following steps, including: normalizing the initial spatial coordinates and vibration amplitude of the node respectively; adding the normalized initial spatial coordinates and the normalized vibration amplitude to obtain the modal shape coordinates of the node.

[0095] Third step: combine the first spatial coordinates of each node in the belt circumferential section to obtain the radial vibration characteristic curve of the tire simulation model under the mode shape.

[0096] However, since each node in the belt circumferential section is a discrete data point, it may have some small fluctuations or noise. Therefore, the embodiments of the present application propose to remove these unnecessary fluctuations by interpolation fitting, so as to more accurately reflect the true vibration behavior of the target tire in the belt circumferential direction. At the same time, the curve after interpolation fitting can better reflect the periodicity and symmetry of the mode shape, thereby improving the accuracy of feature extraction.

[0097] Optionally, in the technical solution provided in the third step, the recognition module 14 can obtain the radial vibration characteristic curve by the following method, including: using cubic spline interpolation method to fit the first spatial coordinates of each node in the belt circumferential section, to obtain the radial vibration characteristic curve of the tire simulation model under the mode shape, wherein the curve can clearly depict the radial vibration characteristics of the target tire in the belt circumferential direction.

[0098] As an optional implementation, the recognition module 14 can also obtain the lateral vibration characteristic curve of the tire simulation model under the mode shape by the following method, including:

[0099] First step: determine the target node in the belt meridian direction section according to the normal vector of the belt circumferential section.

[0100] Since the target node can reflect the key features of the vibration mode of the current order, a plane obtained by extending through the target node and along the radial direction of the target tire is taken as a belt meridian direction section, so as to ensure that the vibration features of the area near the target node in the meridian direction can be accurately captured, where the normal vector of the belt meridian direction section is orthogonal to the normal vector of the belt circumferential section.

[0101] Second step: determining the belt meridian direction section where the target node is located according to the normal vector of the belt circumferential section.

[0102] Third step: for each node in the belt meridian direction section, determining the initial spatial coordinates and vibration amplitude of the node in the Cartesian coordinate system, and determining the modal shape coordinates of the corresponding node according to the initial spatial coordinates and vibration amplitude of the node; projecting the modal shape coordinates of the node to the target plane to obtain the second spatial coordinates of the node. Wherein, the target plane coincides with the belt meridian direction section.

[0103] Optionally, in the technical solution provided in the third step, the recognition module 14 can obtain the modal shape coordinates of the node by the following steps, including: normalizing the initial spatial coordinates and vibration amplitude of the node respectively; adding the normalized initial spatial coordinates and the normalized vibration amplitude to obtain the modal shape coordinates of the node.

[0104] Fourth step: the lateral vibration characteristic curve of the tire simulation model under the vibration mode is composed of the second spatial coordinates of each node in the belt meridian direction section where the target node is located.

[0105] Since each node in the belt meridian direction section is a discrete data point, the recognition module 14 can fit the lateral vibration characteristic curve by the following method, including: using the cubic spline interpolation method to fit the second spatial coordinates of each node in the belt meridian direction section where the target node is located, to obtain the lateral vibration characteristic curve of the tire simulation model under the vibration mode, where the curve can clearly depict the lateral vibration features of the target tire in the belt meridian direction.

[0106] Further, the recognition module 14 can determine the radial order and the lateral order corresponding to the vibration mode by the following method, including:

[0107] First step: determining the number of first intersection points of the radial vibration characteristic curve and the unit circle, and determining the number of second intersection points of the lateral vibration characteristic curve and the projected spatial coordinates of all nodes in the belt meridian direction section where the target node is located when the nodes are in a static state.

[0108] Second step: the quotient of the first intersection number and 2 is the radial order of the vibration mode, and the second intersection number is the lateral order of the vibration mode.

[0109] Finally, the order of each vibration mode, the fixed frequency, the mode shape, the lateral order and the radial order are output in Excel format to form the mode shape identification result.

[0110] It should be noted that each module in the tire mode shape identification device in the embodiment of the application corresponds to each implementation step of the tire mode shape identification method in embodiment 1. Since embodiment 1 has been described in detail, the details not embodied in this embodiment can be referred to embodiment 1, and will not be described in detail here.

[0111] Embodiment 3

[0112] According to the embodiment of the application, a computer program product is also provided, which includes a computer program. When the computer program is executed by a processor, the tire mode shape identification method in embodiment 1 is implemented.

[0113] According to the embodiment of the application, a non-volatile storage medium is also provided, which includes a stored computer program. The device in which the non-volatile storage medium is located executes the tire mode shape identification method in embodiment 1 by running the computer program.

[0114] According to the embodiment of the application, a processor is also provided, which is used to run a computer program. When the computer program is run, the tire mode shape identification method in embodiment 1 is executed.

[0115] According to the embodiment of the application, an electronic device is also provided, which includes a memory and a processor. The memory stores a computer program, and the processor is configured to execute the tire mode shape identification method in embodiment 1 by the computer program.

[0116] Specifically, the computer program executes the following steps during runtime: Modal analysis is performed on the tire simulation model of the target tire to obtain the natural frequencies and mode shapes corresponding to each of the multiple vibration modes; for each mode shape, a first processing operation is performed on all nodes within the circumferential section of the belt layer of the tire simulation model under the mode shape to obtain the radial vibration characteristic curve of the tire simulation model under the mode shape, and a second processing operation is performed on all nodes within the meridional section of the belt layer of the tire simulation model under the mode shape to obtain the lateral vibration characteristic curve of the tire simulation model under the mode shape; the radial order and lateral order corresponding to the mode shape are determined based on the radial and lateral vibration characteristic curves, respectively. The first processing operation includes at least nodal coordinate system transformation, and the second processing operation includes at least nodal coordinate projection; the natural frequencies, mode shapes, and the radial and lateral orders corresponding to the multiple vibration modes are used as the modal mode identification results of the target tire.

[0117] As an alternative implementation, the above-mentioned electronic device may exist in the form of a mobile terminal, a computer terminal, or a similar computing device. Figure 11 A hardware block diagram of an electronic device for implementing a tire mode shape identification method is shown. Figure 11 As shown, the electronic device 110 may include one or more processors 1102 (shown as 1102a, 1102b, ..., 1102n in the figure) (processor 1102 may include, but is not limited to, a microprocessor MCU or a programmable logic device FPGA, etc.), a memory 1104 for storing data, and a transmission device 1106 for communication functions. In addition, it may also include: a display, an input / output interface (I / O interface), a universal serial bus (USB) port (which may be included as one of the ports of a BUS bus), a network interface, a power supply, and / or a camera. Those skilled in the art will understand that... Figure 11 The structure shown is for illustrative purposes only and does not limit the structure of the aforementioned electronic device. For example, electronic device 110 may also include components that are more... Figure 11 The more or fewer components shown, or having the same Figure 11 The different configurations shown.

[0118] It should be noted that the aforementioned one or more processors 1102 and / or other data processing circuitry are generally referred to herein as "data processing circuitry". This data processing circuitry may be embodied, in whole or in part, in software, hardware, firmware, or any other combination thereof. Furthermore, the data processing circuitry may be a single, independent processing module, or may be integrated, in whole or in part, into any other element of the electronic device 110. As involved in the embodiments of this application, the data processing circuitry serves as a processor control mechanism (e.g., selection of a variable resistor termination path connected to an interface).

[0119] The memory 1104 can be used to store software programs and modules of application software, such as program instructions / data storage of the tire modal pattern recognition method in the embodiments of the present application, and the processor 1102 can execute various functional applications and data processing by running the software programs and modules stored in the memory 1104, that is, implement the vulnerability detection method of the application program. The memory 1104 can include a high-speed random access memory, and can also include a non-volatile memory, such as one or more magnetic storage devices, flash memories, or other non-volatile solid-state memories. In some examples, the memory 1104 can further include a memory remotely arranged with respect to the processor 1102, which can be connected to the electronic device 110 through a network. Examples of the above-mentioned network include but are not limited to the Internet, an intranet, a local area network, a mobile communication network, and a combination thereof.

[0120] The transmission device 1106 is used to receive or send data via a network. The specific examples of the above-mentioned network can include a wireless network provided by a communication provider of the electronic device 110. In one example, the transmission device 1106 includes a network adapter (Network Interface Controller, NIC), which can be connected to other network devices through a base station so as to communicate with the Internet. In one example, the transmission device 1106 can be a radio frequency (Radio Frequency, RF) module, which is used to communicate with the Internet in a wireless manner.

[0121] The display can be a liquid crystal display (LCD) of a touch screen type, which can enable a user to interact with a user interface of the electronic device 110.

[0122] The above-mentioned embodiment numbers are only for description, and do not represent the advantages and disadvantages of the embodiments.

[0123] In the above-mentioned embodiments of the present application, the description of each embodiment has its own focus, and the parts not described in detail in a certain embodiment can be referred to the related description of other embodiments.

[0124] In the several embodiments of the present application, it should be understood that the disclosed technology can be implemented in other ways. Of course, the unit embodiment described above is only schematic. For example, the division of the units can be a logical function division, and there can be another division manner in actual implementation, for example, a plurality of units or components can be combined or integrated into another system, or some features can be ignored or not executed. In addition, the coupling or direct coupling or communication connection between the units shown or discussed can be indirect coupling or communication connection through some interface, unit or module, and can be electrical or other forms.

[0125] The units described as separate components may or may not be physically separate, and the components displayed as units may or may not be physical units, i.e. may be located in one place, or may be distributed to multiple units. Part or all of the units may be selected according to actual needs to achieve the purpose of the embodiment.

[0126] In addition, the functional units in each embodiment of the present application can be integrated in one processing unit, or each unit can exist physically, or two or more units can be integrated in one unit. The integrated unit can be realized in the form of hardware or in the form of a software functional unit.

[0127] If the integrated unit is realized 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 such understanding, the technical solutions of the present application, essentially or the part that contributes to the prior art, or all or part of the technical solutions can be embodied in the form of a software product. The computer software product is stored in a storage medium, and includes several instructions for causing a computer device (which can be a personal computer, a server, or a network device, etc.) to execute all or part of the steps of the methods in the embodiments of the present application. The aforementioned storage medium includes various media that can store program codes, such as a U disk, a read-only memory (ROM, Read-Only Memory), a random access memory (RAM, Random Access Memory), a mobile hard disk, a magnetic disk or an optical disk, etc.

[0128] The above is only the preferred embodiment of the present application, and it should be pointed out that for those skilled in the art, without departing from the principles of the present application, a number of improvements and refinements can be made, which should also be considered as the protection scope of the present application.

Claims

1. A method of tire modal shape identification, characterized in that, The method comprises the following steps: performing modal analysis on a tire simulation model of a target tire to obtain a plurality of vibration modes each corresponding to an inherent frequency and a vibration mode; for each vibration mode, performing a first processing operation on all nodes in a belt circumferential section of the tire simulation model under the vibration mode to obtain a radial vibration characteristic curve of the tire simulation model under the vibration mode, and performing a second processing operation on all nodes in a belt meridian direction section of the tire simulation model under the vibration mode to obtain a lateral vibration characteristic curve of the tire simulation model under the vibration mode, and determining a radial order and a lateral order corresponding to the vibration mode according to the radial vibration characteristic curve and the lateral vibration characteristic curve respectively, wherein the first processing operation at least comprises node coordinate system transformation, and the second processing operation at least comprises node coordinate projection; using the inherent frequency, the vibration mode, and the radial order and the lateral order corresponding to the vibration mode as a modal vibration mode identification result of the target tire.

2. The method of claim 1, wherein, performing modal analysis on a tire simulation model of a target tire to obtain a plurality of vibration modes each corresponding to a modal analysis result, comprising: constructing a tire simulation model of the target tire; determining boundary conditions, wherein the boundary conditions at least include that the inflation pressure meets a preset tire pressure requirement, that there is no external load on the target tire, and that the inherent frequency of the target tire under different vibration modes is less than a vibration frequency threshold; calling a finite element software to perform modal analysis on the tire simulation model of the target tire according to the boundary conditions to obtain a plurality of vibration modes each corresponding to a modal analysis result.

3. The method of claim 1, wherein, The vibration mode is used to reflect at least a vibration amplitude of each node on the target tire when the target tire vibrates at a corresponding inherent frequency, wherein the first processing operation on all nodes in the belt circumferential section of the tire simulation model under the vibration mode comprises: determining a belt circumferential section of the tire simulation model under the vibration mode, wherein the belt circumferential section is a symmetry plane of the belt of the tire simulation model; for each node in the belt circumferential section, determining an initial spatial coordinate and a vibration amplitude of the node in a Cartesian coordinate system, and determining a modal vibration mode coordinate of the corresponding node according to the initial spatial coordinate and the vibration amplitude of the node, and converting the modal vibration mode coordinate of the node from the Cartesian coordinate system to a polar coordinate system to obtain a first spatial coordinate of the node; combining the first spatial coordinates of all nodes in the belt circumferential section to obtain the radial vibration characteristic curve of the tire simulation model under the vibration mode.

4. The method of claim 1, wherein, The vibration mode is also used to reflect a vibration displacement of each node on the target tire when the target tire vibrates at a corresponding inherent frequency, wherein the second processing operation on all nodes in the belt meridian direction section of the tire simulation model comprises: determining a belt circumferential section of the tire simulation model under the vibration mode, and determining a target node with the maximum absolute value of the vibration displacement in the belt circumferential section; determining a belt meridian direction section in which the target node is located according to a normal vector of the belt circumferential section, wherein the belt meridian direction section is a plane passing through the target node and extending along a radial direction of the target tire, and the normal vector of the belt meridian direction section is orthogonal to the normal vector of the belt circumferential section; for each node in the belt meridian direction section, determining an initial spatial coordinate and a vibration amplitude of the node in a Cartesian coordinate system, and determining a modal shape coordinate of the corresponding node according to the initial spatial coordinate and the vibration amplitude of the node; and projecting the modal shape coordinate of the node to a target plane to obtain a second spatial coordinate of the node, wherein the target plane coincides with the belt meridian direction section; composing a lateral vibration characteristic curve of the tire simulation model under the vibration mode by using the second spatial coordinates of the nodes in the belt meridian direction section in which the target node is located.

5. The method according to claim 3 or 4, characterized in that, determining a modal shape coordinate of the corresponding node according to the initial spatial coordinate and the vibration amplitude of the node, comprising: respectively performing normalization processing on the initial spatial coordinate and the vibration amplitude of the node; adding the normalized initial spatial coordinate and the normalized vibration amplitude to obtain the modal shape coordinate of the node.

6. The method according to claim 3 or 4, wherein composing a radial vibration characteristic curve of the tire simulation model under the vibration mode by using the first spatial coordinates of the nodes in the belt circumferential section, comprises: fitting the first spatial coordinates of the nodes in the belt circumferential section by using a cubic spline interpolation method to obtain the radial vibration characteristic curve of the tire simulation model under the vibration mode; composing a lateral vibration characteristic curve of the tire simulation model under the vibration mode by using the second spatial coordinates of the nodes in the belt meridian direction section in which the target node is located, comprises: fitting the second spatial coordinates of the nodes in the belt meridian direction section in which the target node is located by using a cubic spline interpolation method to obtain the lateral vibration characteristic curve of the tire simulation model under the vibration mode.

7. The method of claim 1, wherein, determining the radial order and the lateral order corresponding to the vibration mode according to the radial vibration characteristic curve and the lateral vibration characteristic curve respectively, comprising: determining a first intersection point number of the radial vibration characteristic curve with a unit circle, and determining a second intersection point number of the lateral vibration characteristic curve with the second spatial coordinates of all nodes in the belt meridian direction section in which the target node is located when the nodes are in a static state; taking a quotient value of the first intersection point number and 2 as the radial order of the vibration mode, and taking the second intersection point number as the lateral order of the vibration mode.

8. A tire modal shape identification device characterized by comprising: comprising: an analysis module configured to perform modal analysis on a tire simulation model of a target tire to obtain a plurality of vibration modes each corresponding to an inherent frequency and a vibration mode; and The identification module is configured to, for each mode shape, perform a first processing operation on all nodes in the belt circumferential section of the tire simulation model under the mode shape to obtain a radial vibration characteristic curve of the tire simulation model under the mode shape, and perform a second processing operation on all nodes in the belt meridian direction section of the tire simulation model under the mode shape to obtain a lateral vibration characteristic curve of the tire simulation model under the mode shape, and determine the radial order and the lateral order corresponding to the mode shape according to the radial vibration characteristic curve and the lateral vibration characteristic curve respectively, wherein the first processing operation at least includes node coordinate system transformation, and the second processing operation at least includes node coordinate projection. The determination module is configured to determine the natural frequency, the mode shape, and the radial order and the lateral order corresponding to the mode shape of each vibration mode as the mode shape identification result of the target tire.

9. A computer program product, characterised in that, The computer program is executed by a processor to implement the tire mode shape identification method in any one of claims 1 to 7. The memory and the processor, wherein the memory stores a computer program, and the processor is configured to execute the tire mode shape identification method in any one of claims 1 to 7 by the computer program.

10. An electronic device, comprising: The memory and the processor, wherein the memory stores a computer program, and the processor is configured to execute the tire mode shape identification method in any one of claims 1 to 7 by the computer program. ​

Images