JP2016051391A - Simulation method of tire and manufacturing method of tire - Google Patents

Abstract

PROBLEM TO BE SOLVED: To provide a simulation method for locating a position where influence degree on vibration performance or rolling resistance performance of a tire is high, and a manufacturing method.SOLUTION: A simulation method of a tire includes: a step S1 of setting a tire model in which a tire is modeled by a finite number of element F(i); a first calculation step S4 of causing a computer to calculate first distortion energy loss Ea of the tire model; a second calculation step S5 of causing the computer to calculate second distortion energy loss Eb of the tire model; and a step S7 of causing the computer to calculate a deformation and vibration parameter Ea/Eb obtained by dividing the first distortion energy loss Ea by the second distortion energy loss Eb or a deformation and vibration parameter Eb/Ea obtained by dividing the second distortion energy loss Eb by the first distortion energy loss Ea, for each element F(i).SELECTED DRAWING: Figure 3

Description

  The present invention relates to, for example, a tire simulation method and a tire manufacturing method in which a position having a high influence on the vibration performance or rolling resistance performance of a tire can be specified using a computer.

  Conventionally, in order to absorb the vibration of a running tire, for example, a method of attaching a damping member to the tire has been proposed. An example of the damping member is a rubber member having a large loss tangent tan δ. Such a vibration damping member can absorb the vibration of the tire by converting it into heat, but has a problem of increasing the rolling resistance of the tire because of a large energy loss. Thus, reducing the vibration of the tire and reducing the rolling resistance have a trade-off relationship. For this reason, it is necessary to repeat many experiments to determine the position where the influence on the vibration performance or rolling resistance performance of the tire is high in order to determine the attachment position of the damping member.

JP 2004-010000 A

  The present invention has been devised in view of the above circumstances, and a tire simulation method and a tire manufacturing method that can easily specify a position having a high influence on the vibration performance or rolling resistance performance of the tire. The main purpose is to provide

  The present invention includes a step of setting a tire model in which a tire is modeled by a finite number of elements in a computer, wherein the computer executes a vibration simulation using the tire model, and the first strain energy loss of each element A first calculation step of calculating Ea, a second calculation step of calculating a second strain energy loss Eb of each element by the computer executing a deformation simulation using the tire model, and the computer For the element, the vibration / deformation parameter Ea / Eb obtained by dividing the first strain energy loss Ea by the second strain energy loss Eb, or the deformation obtained by dividing the second strain energy loss Eb by the first strain energy loss Ea. The method includes a step of calculating a vibration parameter Eb / Ea.

  In the tire simulation method according to the present invention, the first calculation step includes a step of performing eigenvalue analysis using the tire model, and the first strain energy loss Ea of each element as an eigenvalue and an eigenvector. It is desirable to include a step of calculating based on.

  In the tire simulation method according to the present invention, the computer further includes a step of setting a road surface model in which a road surface is modeled by a finite number of elements in the computer, wherein the second calculation step is performed by the computer. It is desirable to include a step of calculating the second strain energy loss Eb by grounding the tire model on the top.

  In the tire simulation method according to the present invention, the computer further includes a step of setting a road surface model in which a road surface is modeled by a finite number of elements in the computer, wherein the second calculation step is performed by the computer. It is preferable to include a step of calculating the second strain energy loss Eb by performing a rolling calculation of the tire model in contact with the ground.

  The present invention is a tire manufacturing method, the step of preparing the tire, the step of executing the tire simulation method according to any one of claims 1 to 4 based on the tire, and the vibration and And a modification step of modifying the structure of the tire based on the deformation parameter Ea / Eb or the deformation / vibration parameter Eb / Ea.

  In the tire manufacturing method according to the present invention, the correcting step includes a vibration damping member for absorbing vibration of the tire based on the position of the element having the relatively large vibration / deformation parameter Ea / Eb. It is desirable to include a pasting step.

  In the method for manufacturing a tire according to the present invention, the correcting step absorbs the vibration of the tire by using the component of the tire based on the position of the element having the relatively large vibration / deformation parameter Ea / Eb. It is desirable to include a step of replacing with a vibration damping member.

  In the tire manufacturing method according to the present invention, the correcting step includes a step of reducing a thickness of a constituent member of the tire based on a position of the element in which the vibration / deformation parameter Ea / Eb is relatively small. It is desirable to include.

  In the tire manufacturing method according to the present invention, the correction step includes a step of replacing the member with a loss tangent of the tire based on a position of the element having a relatively small vibration / deformation parameter Ea / Eb. It is desirable to include.

  The tire simulation method according to claim 1 is a first calculation step in which a computer executes a vibration simulation using a tire model and calculates a first strain energy loss Ea of each element, and a deformation simulation is performed using the tire model. A second calculation step of calculating a second strain energy loss Eb of each element, and a vibration / deformation parameter Ea / Eb obtained by dividing the first strain energy loss Ea by the second strain energy loss Eb for each element, Alternatively, a step of calculating a deformation / vibration parameter Eb / Ea obtained by dividing the second strain energy loss Eb by the first strain energy loss Ea is included.

  It shows that the larger the vibration / deformation parameter Ea / Eb or the smaller the deformation / vibration parameter Eb / Ea, the greater the vibration of the tire and the smaller the influence on the rolling resistance of the tire. Based on the position of such an element, for example, a vibration damping member for absorbing the vibration of the tire is attached, so that the deterioration of the rolling resistance of the tire is suppressed and the vibration of the tire is reduced (road noise resistance). Performance).

  On the other hand, the smaller the vibration / deformation parameter Ea / Eb or the larger the deformation / vibration parameter Eb / Ea, the smaller the vibration of the tire and the greater the influence on the rolling resistance of the tire. . Based on the position of such elements, for example, by replacing with a member that reduces the loss tangent of the tire, improving the rolling resistance of the tire while suppressing the vibration of the tire (deterioration of road noise resistance) Can do.

  Thus, since the tire simulation method according to claim 1 can easily identify a position having a high influence on the vibration performance or rolling resistance performance of the tire, for example, in a tire design process or a manufacturing process. The vibration performance or rolling resistance performance can be improved.

  The tire manufacturing method according to claim 5 includes a correcting step of correcting the structure of the tire based on the vibration / deformation parameter Ea / Eb or the deformation / vibration parameter Eb / Ea. Thus, in the tire manufacturing method according to claim 5, since the tire structure is modified by specifying a position having a high influence on the vibration performance or rolling resistance performance of the tire, the tire vibration performance and rolling Resistance performance can be improved reliably.

It is a block diagram of a computer with which the tire simulation method of this embodiment is implemented. It is sectional drawing of the tire of this embodiment. It is a flowchart which shows an example of the process sequence of the simulation method of the tire of this embodiment. It is sectional drawing of the tire model of this embodiment. It is a perspective view of the tire model and road surface model of this embodiment. It is a flowchart which shows an example of the process sequence of the 1st calculation process of this embodiment. It is sectional drawing of the tire model in which the eigenvalue analysis of the cross-sectional secondary mode was implemented. It is a flowchart which shows an example of the process sequence of the 2nd calculation process of this embodiment. FIG. 4 is a contour diagram showing vibration / deformation parameters of a tire model. It is a flowchart which shows an example of the process sequence of the manufacturing method of the tire of this embodiment. It is a fragmentary perspective view of the damping member affixed on the tire shown in FIG. It is a flowchart which shows an example of the process sequence of the correction step of this embodiment. FIG. 6 is a partial cross-sectional view of the tire model shown in FIG. 5. It is a flowchart which shows an example of the process sequence of the correction step of other embodiment.

Hereinafter, an embodiment of the present invention will be described with reference to the drawings.
The tire simulation method according to the present embodiment (hereinafter sometimes simply referred to as “simulation method”) uses a computer to calculate the first strain energy loss Ea calculated by vibration simulation and the first calculation calculated by deformation simulation. Based on the two strain energy loss Eb, the vibration / deformation parameter Ea / Eb or the deformation / vibration parameter Eb / Ea is calculated. Then, based on these vibration / deformation parameters Ea / Eb or deformation / vibration parameters Eb / Ea, a position having a high influence on the vibration performance or rolling resistance performance of the tire is specified.

  FIG. 1 is a block diagram of a computer in which the simulation method of this embodiment is implemented. A computer 1 used in the simulation method of the present embodiment includes an input unit 11 as an input device, an output unit 12 as an output device, and an arithmetic processing unit 13 that calculates a physical quantity of a tire and the like, and a tire simulation device (Hereinafter, it may be simply referred to as “simulation apparatus”.) It is configured as 1A.

  As the input unit 11, for example, a keyboard or a mouse is used. For example, a display device or a printer is used as the output unit 12. The arithmetic processing unit 13 includes a calculation unit (CPU) 13A that performs various calculations, a storage unit 13B that stores data, programs, and the like, and a work memory 13C.

  The storage unit 13B is a non-volatile information storage device made of, for example, a magnetic disk, an optical disk, or an SSD. In the storage unit 13B, a data unit 15 and a program unit 16 are provided.

  The data unit 15 includes an initial data unit 15A in which information (e.g., CAD data) regarding a tire to be evaluated and a road surface is stored, a tire model input unit 15B in which a tire model that models the tire is input, and a road surface A road surface model input unit 15C to which a modeled road surface model is input is included. Further, the data unit 15 includes a boundary condition input unit 15D to which a simulation boundary condition is input, and a physical quantity input unit 15E to which a physical quantity (including distortion energy loss) calculated by the calculation unit 13A is input. Yes.

  The program unit 16 is a program executed by the calculation unit 13A. The program unit 16 includes a tire model setting unit 16A that models a tire model, a road surface model setting unit 16B that models a road surface model, an internal pressure filling calculation unit 16C that calculates the shape of the tire model after filling with internal pressure, The tire model includes a load load calculation unit 16D that defines a load, and a strain calculation unit 16E that executes a simulation using the tire model and acquires a physical quantity related to tire strain.

  The strain calculation unit 16E includes a first calculation unit 33 that executes vibration simulation, a second calculation unit 34 that executes deformation simulation, and a third calculation unit 35 that calculates vibration / deformation parameters.

  FIG. 2 is a cross-sectional view of a tire where a position having a high influence on the vibration performance or rolling resistance performance of the tire is specified by the simulation method of the present embodiment. The tire 2 of the present embodiment is configured as a pneumatic tire for passenger cars. The tire 2 includes, for example, a carcass 6 extending from the tread portion 2a through the sidewall portion 2b to the bead core 5 of the bead portion 2c, and a belt layer 7 disposed on the outer side in the tire radial direction of the carcass 6 and inside the tread portion 2a. It has.

  The carcass 6 is composed of at least one carcass ply 6A in this embodiment. The carcass ply 6A includes a main body portion 6a that extends from the tread portion 2a through the sidewall portion 2b to the bead core 5 of the bead portion 2c, and is folded back around the bead core 5 from the inner side in the tire axial direction. Part 6b.

  A bead apex rubber 8 extending from the bead core 5 to the outer side in the tire radial direction is disposed between the main body portion 6a and the folded portion 6b of the carcass ply 6A. In the carcass ply 6A, for example, carcass cords arranged at an angle of 80 degrees to 90 degrees with respect to the tire equator C are overlapped so as to cross each other.

  The belt layer 7 includes at least two belt plies 7A and 7B that are overlapped in the tire radial direction in the present embodiment. The two belt plies 7A and 7B are arranged such that the belt cord is inclined at an angle of, for example, 10 degrees to 35 degrees with respect to the tire circumferential direction. Such belt plies 7A and 7B are overlapped so that the belt cords cross each other.

  FIG. 3 is a flowchart illustrating an example of a processing procedure of the simulation method of the present embodiment. In the simulation method of the present embodiment, first, a tire model obtained by modeling the tire 2 shown in FIG. 2 is set in the computer 1 (step S1).

  In step S1, first, as shown in FIG. 1, information related to the tire 2 (shown in FIG. 2) stored in the initial data portion 15A (for example, contour data of the tire 2) is stored in the work memory 13C. Entered. Further, the tire model setting unit 16A is read into the work memory 13C. Then, the tire model setting unit 16A is executed by the calculation unit 13A.

  FIG. 4 is a cross-sectional view of the tire model of the present embodiment. In step S1, discretization is performed with a finite number of elements F (i) (i = 1, 2,...) That can be handled by a numerical analysis method based on the information about the tire 2 shown in FIG. Thereby, a tire model 21 in which the tire 2 is modeled is set. The set tire model 21 is input to the tire model input unit 15B (shown in FIG. 1). As a numerical analysis method, for example, a finite element method, a finite volume method, a difference method, or a boundary element method can be adopted as appropriate, but in this embodiment, a finite element method is adopted.

  As the element F (i), for example, a tetrahedral solid element, a pentahedral solid element, or a hexahedral solid element is preferably used. Each element F (i) is provided with a plurality of nodes 22. Each element F (i) is defined with numerical data such as an element number, a node 22 number, a coordinate value of the node 22 and material characteristics (for example, density, Young's modulus and / or attenuation coefficient).

  Next, in the simulation method of the present embodiment, a road surface model obtained by modeling a road surface is set in the computer 1 (step S2). In step S2, information on the road surface stored in the initial data portion 15A shown in FIG. 1 is first input to the work memory 13C. Further, the road surface model setting unit 16B is read into the work memory 13C. Then, the road surface model setting unit 16B is executed by the calculation unit 13A.

  FIG. 5 is a perspective view of the tire model 21 and the road surface model 24 of the present embodiment. In step S2, discretization is performed using a finite number of elements G (i) (i = 1, 2,...) That can be handled by a numerical analysis method (in this embodiment, a finite element method) based on information about the road surface. Thereby, in step S2, the road surface model 24 is set. The set road surface model 24 is input to the road surface model input unit 15C (shown in FIG. 1).

  The element G (i) is set as a rigid plane element set so as not to be deformable. This element G (i) is provided with a plurality of nodes 25. Further, numerical data such as an element number and a coordinate value of the node 25 is defined for the element G (i).

  In the present embodiment, the road surface model 24 has been exemplified as having a smooth surface. However, if necessary, the road surface model 24 may be a minute unevenness, irregular step, depression, swell, or ridge such as an asphalt road surface. Concavities and convexities that approximate the traveling road surface may be provided.

  Next, in the simulation method of the present embodiment, boundary conditions are defined in the tire model 21 in the computer 1 (step S3). As the boundary condition, for example, an internal pressure condition of the tire model 21, a load load condition, a friction coefficient between the tire model 21 and the road surface model 24, and the like are set. These conditions are input to the boundary condition input unit 15D (shown in FIG. 1).

  Next, in the simulation method of the present embodiment, the computer 1 executes a vibration simulation using the tire model 21 (first calculation step S4). In the tire 2 shown in FIG. 2, the vibration that generates high-frequency road noise is related to the tire cross-section secondary mode. In the first calculation step S4 of the present embodiment, eigenvalue analysis (vibration simulation) based on the secondary cross-sectional mode is executed, and the first strain energy loss Ea of each element F (i) of the tire model 21 is calculated. FIG. 6 is a flowchart illustrating an example of a processing procedure of the first calculation step S4 of the present embodiment.

  In the first calculation step S4, first, the shape after the internal pressure filling of the tire model 21 (shown in FIG. 4) is calculated (step S41). In step S41, as shown in FIG. 1, the tire model 21 input to the tire model input unit 15B and the internal pressure condition input to the boundary condition input unit 15D are read into the work memory 13C. Further, the internal pressure filling calculation unit 16C is read into the work memory 13C. Then, the internal pressure filling calculation unit 16C is executed by the calculation unit 13A.

  In step S41, first, as shown in FIG. 4, the bead portions 21c and 21c of the tire model 21 are restrained by the rim model 27 in which the rim 26 (shown in FIG. 2) of the tire 2 is modeled. Further, the tire model 21 is subjected to deformation calculation based on an evenly distributed load w corresponding to the internal pressure condition. Thereby, in process S41, tire model 21 after internal pressure filling is calculated. For example, in the standard system including the standard on which the tire 2 (shown in FIG. 2) is based, the internal pressure is preferably set to the air pressure defined by each standard.

  In the deformation calculation of the tire model 21, a mass matrix, a stiffness matrix, and a damping matrix of each element F (i) are created based on the shape and material characteristics of each element F (i). Furthermore, each of these matrices is combined to create a matrix for the entire system. Then, the computer 1 applies the above-described various conditions to create an equation of motion, and performs a deformation calculation of the tire model 21 for each minute time (unit time Tx (x = 0, 1,...)). Such deformation calculation (including rolling simulation described later) of the tire model 21 can be calculated using, for example, commercially available finite element analysis application software such as LS-DYNA manufactured by LSTC. The unit time Tx can be set as appropriate depending on the required simulation accuracy.

  Next, in the first calculation step S4, eigenvalue analysis using the tire model 21 is executed (step S42). In step S42, as shown in FIG. 1, the first calculator 33 is read into the work memory 13C. Then, the first calculation unit 33 is executed by the calculation unit 13A.

In step S42 of the present embodiment, eigenvalue analysis is performed using the following equation (1), as in the conventional method of calculating strain energy loss. Thereby, the eigenvalue (or natural frequency) ω _r and the eigenvector (or vibration mode) {φ _r } of each node 22 of the element F (i) of the tire model 21 are calculated.

Next, in the first calculation step S4, the strain energy loss (first strain energy loss Ea) of each element F (i) is calculated based on the eigenvalue ω _r and the eigenvector {ψ _r } (step S43). . Similarly to step S42, the first calculation unit 33 is executed in step S43.

The first strain energy loss Ea in the tire cross-section secondary mode is expressed by the following formula (2). In the following equation (2), first, strain energy U is obtained for each node 22 of each element F (i) based on the eigenvalue ω _r and the eigenvector {ψ _r }. Then, the first strain energy loss Ea is calculated based on the strain energy U and the loss tangent tan δ. These first strain energy losses Ea are input to the physical quantity input unit 15E (shown in FIG. 1). The eigenvalue analysis in step S42 and step S43 can be calculated using, for example, commercially available eigenvalue analysis software (such as ABAQUS manufactured by Dassault Systems). FIG. 7 is a cross-sectional view of the tire model 21 that has been subjected to eigenvalue analysis of the secondary cross-sectional mode.

here,
tr: Indicates a transposed matrix.
U: Strain energy

  Next, in the simulation method of the present embodiment, the computer 1 executes a deformation simulation using the tire model 21 (second calculation step S5). In the second calculation step S5, the second strain energy loss Eb of each element F (i) of the tire model 21 is calculated based on the result of the deformation simulation. FIG. 8 is a flowchart showing an example of the processing procedure of the second calculation step S5 of the present embodiment.

  In the second calculation step S5, first, the shape after the internal pressure filling of the tire model 21 (shown in FIG. 4) is calculated (step S51). In step S51, the tire model 21 after internal pressure filling is calculated by the same procedure as in step S41 of the first calculation step S4.

  Next, in the second calculation step S5, the tire model 21 in which the load is defined is calculated (step S52). In step S52, first, the load condition, the camber angle, and the friction coefficient input to the boundary condition input unit 15D are read into the work memory 13C. Further, in step S52, the load load calculation unit 16D is read into the work memory 13C. Then, the load load calculation unit 16D is executed by the calculation unit 13A.

  In step S52, as shown in FIG. 5, the contact between the tire model 21 after the internal pressure filling and the road surface model 24 is calculated. Next, in step S52, the deformation of the tire model 21 is calculated based on the load condition T and the camber angle. Thereby, in process S52, tire model 21 grounded to road surface model 24 is calculated.

  Next, in the second calculation step S5, the second strain energy loss Eb is calculated (step S53). In step S53, the second calculation unit 34 is read into the work memory 13C. Then, the second calculation unit 34 is executed by the calculation unit 13A.

  In step S53 of the present embodiment, a static simulation for calculating the second strain energy loss Eb is performed without causing the road surface model 24 to roll the tire model 21. In the static simulation of the present embodiment, the strain that the tire model 21 receives in a state of static contact (grounding) with the road surface model 24 is the dynamic strain that is received at a moment when the tire is rolling. It is assumed that they are substantially equal, and a dynamic strain history is obtained from a static calculation result. Such a static simulation can shorten the calculation time as compared with, for example, a simulation in which the tire model 21 rolls on the road surface model 24.

The static simulation can be performed according to the strain path method described in Japanese Patent Application Laid-Open No. 2005-186900, for example, as in the prior art. By performing a static simulation based on the strain path method, the energy loss per unit volume of each element F (i) is calculated. By using this energy loss, the rolling resistance RR of the tire model 21 can be approximately calculated as one physical quantity representing the tire performance. The rolling resistance RR can be calculated by the following formula (3).
RR = {Σ (W · V)} / 2πR (3)
Here, V is the volume of each element, R is the load radius of the tire, and Σ is the sum of all elements with respect to the product of the energy loss W and the volume V of the element.

  The rolling resistance RR is calculated for each node 22 of each element F (i). In the present embodiment, the rolling resistance RR is calculated as the second strain energy loss Eb. These second strain energy losses Eb are input to the physical quantity input unit 15E (shown in FIG. 1).

  In the present embodiment, a mode in which the second strain energy loss Eb (rolling resistance RR) is calculated by a static simulation in which the tire model 21 is grounded to the road surface model 24 is shown, but the embodiment is not limited thereto. Absent. For example, the second strain energy loss Eb (rolling resistance RR) may be calculated by executing a rolling simulation (rolling calculation) for rolling the tire model 21 on the road surface model 24. By performing such a rolling simulation, it is possible to calculate the second strain energy loss Eb (rolling resistance RR) in consideration of a tread pattern and a tire structure that are not uniform in the tire circumferential direction.

  Next, in the simulation method of the present embodiment, the computer 1 calculates the vibration / deformation parameter Ea / Eb or the deformation / vibration parameter Eb / Ea (step S6). In step S6, first, the first strain energy loss Ea and the second strain energy loss Eb input to the physical quantity input unit 15E are read into the work memory 13C. Further, in step S6, the third calculator 35 is read into the work memory 13C. And the 3rd calculation part 35 is performed by 13 A of calculating parts.

  In step S6, vibration / deformation parameter Ea / Eb or deformation / vibration parameter Eb / Ea is calculated based on first strain energy loss Ea and second strain energy loss Eb. The vibration / deformation parameter Ea / Eb is calculated by dividing the first strain energy loss Ea by the second strain energy loss Eb for each node 22 of the element F (i) of the tire model 21. The deformation / vibration parameter Eb / Ea is calculated by dividing the second strain energy loss Eb by the first strain energy loss Ea for each node 22 of the element F (i) of the tire model 21. The vibration / deformation parameter Ea / Eb and the deformation / vibration parameter Eb / Ea are stored in the physical quantity input unit 15E (shown in FIG. 1).

  The first strain energy loss Ea indicates that the greater the value, the greater the strain during vibration of the tire model 21. On the other hand, the second strain energy loss Eb indicates that the smaller the value, the smaller the influence on the rolling resistance of the tire model. Accordingly, at the position of each element F (i) of the tire model 21, the greater the vibration / deformation parameter Ea / Eb, the greater the vibration of the tire and the smaller the influence on the rolling resistance of the tire. Show. Similarly, as the deformation / vibration parameter Eb / Ea, which is the reciprocal of the vibration / deformation parameter Ea / Eb, is smaller, the influence on the tire vibration is larger and the rolling resistance of the tire is smaller. It is shown that.

  Further, the first strain energy loss Ea indicates that the smaller the value is, the smaller the strain at the time of vibration of the tire model 21 is. On the other hand, the second strain energy loss Eb indicates that the larger the value, the greater the influence on the rolling resistance of the tire model. Accordingly, at the position of each element F (i) of the tire model 21, the smaller the vibration / deformation parameter Ea / Eb, the smaller the influence on the tire vibration and the greater the influence on the tire rolling resistance. Is shown. Similarly, the deformation / vibration parameter Eb / Ea, which is the reciprocal of the vibration / deformation parameter Ea / Eb, indicates that the larger the value, the smaller the vibration of the tire and the greater the influence on the rolling resistance of the tire. Show.

  As described above, the simulation method of the present embodiment is based on the vibration / deformation parameter Ea / Eb or the deformation / vibration parameter Eb / Ea calculated for each node 22 of each element F (i). A position having a high influence on the vibration performance or rolling resistance performance can be easily identified. For example, the vibration performance or rolling resistance performance of the tire 2 can be improved by correcting the structure of the tire 2 based on such a position.

  The vibration / deformation parameter Ea / Eb or the deformation / vibration parameter Eb / Ea may be displayed in a contour diagram, for example. FIG. 9 is a contour diagram showing the vibration / deformation parameters Ea / Eb of the tire model 21.

  The contour diagram is interpolated from the vibration / deformation parameter Ea / Eb calculated at each node 22 (shown in FIG. 5) of each element F (i) of the tire model 21 and the vibration / deformation parameter Ea / Eb of the node 22. Based on the calculated vibration / deformation parameter Ea / Eb, different color information is set for each vibration / deformation parameter Ea / Eb in the same range. The color information can be appropriately selected from, for example, a color scale (color) and a gray scale (luminance). The contour diagram can be obtained using, for example, a general-purpose post processor (such as LS-PrePost manufactured by LSTC).

  Such a contour diagram is easy to grasp the vibration / deformation parameters Ea / Eb, and thus is useful for specifying a position having a high influence on the vibration performance or rolling resistance performance of the tire 2. The deformation / vibration parameter Eb / Ea may also be displayed in a contour diagram.

  Next, a method for manufacturing a tire according to the present embodiment (hereinafter, simply referred to as “manufacturing method”) will be described. In the manufacturing method of the present embodiment, the structure of the tire 2 is corrected based on the vibration / deformation parameter Ea / Eb or the deformation / vibration parameter Eb / Ea calculated by the simulation method described above. FIG. 10 is a flowchart showing an example of a processing procedure of the tire manufacturing method of the present embodiment.

  In the manufacturing method of the present embodiment, first, the tire 2 is prepared (step S11). In step S11, the tire 2 shown in FIG. 2 is manufactured by, for example, vulcanizing and molding an unvulcanized raw tire (not shown) in a mold, as in the conventional method.

  Next, in the manufacturing method of the present embodiment, a simulation method for calculating the vibration / deformation parameter Ea / Eb or the deformation / vibration parameter Eb / Ea is executed based on the tire 2 (step S12). In step S12, based on the tire 2 prepared in step S11, the simulation method of the processing procedure shown in FIGS. 3, 6, and 8 is performed by the simulation apparatus 1A (shown in FIG. 1). Thereby, the vibration / deformation parameter Ea / Eb or the deformation / vibration parameter Eb / Ea (in this embodiment, the vibration / deformation parameter Ea / Eb) of the tire 2 is calculated.

  In step S12, the vibration / deformation parameters Ea / Eb are shown by a contour diagram. Thus, the operator can easily visually confirm the magnitude of the vibration / deformation parameter Ea / Eb at the position of each element F (i) of the tire model 21.

  Next, in the manufacturing method of the present embodiment, the structure of the tire 2 is corrected based on the vibration / deformation parameter Ea / Eb or the deformation / vibration parameter Eb / Ea (correction step S13). In the correction step S13 of the present embodiment, a damping member for absorbing the vibration of the tire 2 is attached based on the vibration / deformation parameter Ea / Eb.

  FIG. 11 is a partial perspective view of the vibration damping member 9 attached to the tire. The damping member 9 is constituted by a rubber member 9g having a large loss tangent tan δ. The vibration damping member 9 of the present embodiment is formed in a sheet shape. Such a damping member 9 can be attached to a predetermined portion of the tire 2 (shown in FIG. 2), thereby converting the vibration of the tire 2 into heat and absorbing it. Therefore, the damping member 9 is useful for improving the road noise resistance performance.

  The loss tangent tan δ of the damping member 9 can be set as appropriate. In the present embodiment, for example, in accordance with JIS K6394, the loss tangent tan δ in the frequency range of 100 ° C. to 500 Hz at 30 ° C. is 1.5 to 5 under the conditions of dynamic strain 14.432N and frequency 1 Hz to 100 Hz. In addition, it is desirable that the loss tangent tan δ in the frequency range of 70 ° C. and 10 Hz is set to 0.30 or less. Such a rubber member 9g can effectively absorb the vibration of the tire while suppressing an increase in energy loss. The thickness W1 of the damping member 9 can be set as appropriate. The thickness W1 of this embodiment is set to about 0.5 mm to 4.0 mm, for example. The damping member 9 is bonded by crosslinking during vulcanization. Thereby, since the damping member 9 is vulcanized integrally with other constituent members of the raw tire, peeling of the damping member and the like can be effectively suppressed.

  The rubber member 9g having the loss tangent tan δ as described above can be manufactured by appropriately adjusting the rubber composition. The loss tangent tan δ can be measured using a viscoelastic spectrometer (VA4500 manufactured by Metraviv).

  The vibration damping member 9 can absorb the vibration of the tire 2 (shown in FIG. 2) by converting it into heat, but has a large energy loss. Thereby, there exists a problem that the rolling resistance of a tire will be increased. For this reason, reducing tire vibration and reducing rolling resistance have a trade-off relationship. Therefore, it is important to attach the damping member 9 at a position where the influence on the tire vibration is large and the influence on the tire rolling resistance is small.

  FIG. 12 is a flowchart illustrating an example of a processing procedure of the correction step S13 of the present embodiment. In the correction step S13 of the present embodiment, first, the position where the damping member 9 is pasted is determined (step S131).

As described above, at the position of each element F (i) of the tire model 21 (shown in FIG. 4), the greater the value of the vibration / deformation parameter Ea / Eb, the greater the influence on the vibration of the tire 2; And the influence on the rolling resistance of the tire 2 is small. The vibration damping member 9 is affixed to the position of the element F (i) having such a relatively large vibration / deformation parameter Ea / Eb, thereby rolling the tire 2 while absorbing the vibration of the tire 2. The deterioration of resistance can be suppressed.

  Based on such a viewpoint, in step S13 of the present embodiment, the position at which the damping member 9 is pasted is determined based on the position of the element F (i) having a relatively large vibration / deformation parameter Ea / Eb. The

  The range of the vibration / deformation parameters Ea / Eb for determining the attachment position of the damping member 9 can be set as appropriate based on the structure of the tire 2 and the required performance. For example, when the tire 2 is used for a passenger car, the vibration damping member 9 is used in the element F (i) in which the vibration / deformation parameter Ea / Eb is in the range of −15% of the maximum value of the vibration / deformation parameter Ea / Eb It is desirable to determine the position to paste. Thereby, road noise resistance (vibration resistance) can be reliably improved while suppressing deterioration of the rolling resistance performance of the tire 2.

  The position where the damping member 9 is attached may be determined by the operator based on the vibration / deformation parameters Ea / Eb, or may be automatically determined by the computer 1.

  Next, in the correction step S13 of the present embodiment, the damping member 9 is pasted based on the pasting position determined in step S131 (step S132). In the present embodiment, the damping member 9 is attached to the position of the element F (i) having a relatively large vibration / deformation parameter Ea / Eb (in the present embodiment, the inner surface of the tire 2). Thereby, the tire 2 can improve road noise resistance performance, suppressing the deterioration of rolling resistance. Further, in the production line for the tire 2 having the same structure, the damping member 9 is attached to the inner surface of the raw tire and vulcanized based on the same attaching position. As a result, the tire 2 capable of improving road noise resistance performance while suppressing deterioration of rolling resistance can be continuously manufactured.

  As described above, in the manufacturing method of the present embodiment, the damping member 9 is attached without repeating the experiment of attaching the damping member 9 (shown in FIG. 3) to a plurality of locations of the tire 2 (shown in FIG. 2). The position can be determined accurately and easily. Therefore, it is possible to effectively reduce the cost and time required to determine the attachment position of the damping member 9.

  FIG. 13 is a partial cross-sectional view of the tire model 21 shown in FIG. In step S131 of the present embodiment, the position where the damping member 9 is to be pasted is exemplified based on the vibration / deformation parameters Ea / Eb obtained for each node 22 of the element F (i). However, it is not limited to this. For example, the position where the vibration damping member 9 is attached is determined based on the average value of the vibration / deformation parameters Ea / Eb obtained for each of the plurality of regions 31 divided along the tire lumen surface 30 of the tire meridian section. May be. Thereby, since the vibration / deformation parameter Ea / Eb can be compared in the region 31 larger than the element F (i), the position where the damping member 9 is attached can be easily determined.

  The width W2 of the region 31 along the tire lumen surface 30 is, for example, the same as the width (not shown) of the damping member 9, an integral multiple of the width of the damping member 9, or a small width of the damping member 9. It may be set several times. As a result, the vibration damping member 9 can be easily attached to the region 31 where the attachment position has been determined without a gap.

  In step S132 of the present embodiment, a step of attaching the damping member 9 for absorbing the vibration of the tire 2 based on the position of the element F (i) having a relatively large vibration / deformation parameter Ea / Eb. However, the present invention is not limited to this. For example, based on the position of the element F (i) having a relatively large vibration / deformation parameter Ea / Eb, the constituent member of the tire 2 is replaced with a damping member (not shown) for absorbing the vibration of the tire 2. A step may be performed.

  Here, “replace the constituent member of the tire 2 with a damping member (not shown)” means that the constituent member such as the tread rubber 2G of the unvulcanized raw tire (not shown), the sidewall rubber 3G, etc. It is meant to be replaced with another vibration damping member. Thereby, it is possible to manufacture the tire 2 that can improve the road noise resistance performance while suppressing the deterioration of the rolling resistance performance. The vibration damping member may be a rubber member having the same composition as the rubber member 9g shown in FIG. 11, or may be a rubber member having another composition.

  In the correction step S13 of the embodiments so far, the step of attaching the damping member 9 to the vulcanized tire 2 based on the position of the element F (i) having a relatively large vibration / deformation parameter Ea / Eb, Although the step of replacing the constituent member of the raw tire with another vibration damping member 9 has been exemplified, it is not limited to this. For example, the thickness of the constituent members of the tire 2 may be reduced based on the vibration / deformation parameters Ea / Eb.

  When the thickness of the constituent member of the tire 2 is reduced, the energy loss of the tire 2 is reduced, and the rolling resistance can be reduced. However, there is a problem that vibration cannot be sufficiently absorbed due to a decrease in the rubber volume of the tire 2. For this reason, reducing rolling resistance and reducing tire vibration have a trade-off relationship. Accordingly, it is important to reduce the thickness of the constituent members of the tire 2 at a position where the influence on the rolling resistance of the tire is large and the influence on the vibration of the tire is small.

  FIG. 14 is a flowchart illustrating an example of a processing procedure of the correction step S13 according to another embodiment. In the correction step S13 of the present embodiment, first, a position for reducing the thickness of the constituent member of the tire is determined (step S141).

  As described above, at the position of each element F (i) of the tire model 21 (shown in FIG. 4), the smaller the vibration / deformation parameter Ea / Eb, the greater the influence on the rolling resistance of the tire, and This indicates that the effect on tire vibration is small. By setting the thickness of the constituent member of the tire 2 to be small at the position of the element F (i) where the value of the vibration / deformation parameter Ea / Eb is relatively small, the rolling resistance is reduced and the tire is reduced. It is possible to suppress an increase in vibration.

  From this point of view, in the correction step S13 of this embodiment, the position where the thickness of the constituent member of the tire 2 is reduced based on the position of the element F (i) where the vibration / deformation parameter Ea / Eb is relatively small. Is determined.

  The range of the vibration / deformation parameters Ea / Eb for determining the position where the thickness is reduced can be set as appropriate based on the structure of the tire 2 and the required performance. For example, in the case where the tire 2 is for a passenger car, the thickness of the constituent member of the tire is the element F (i) in which the vibration / deformation parameter Ea / Eb is about + 15% from the minimum value of the vibration / deformation parameter Ea / Eb. It is desirable to determine the position to reduce the height.

  Next, in the correction step S13 of this embodiment, the thickness of the constituent member of the tire 2 is reduced based on the position determined in step S141 (step S142). As a method of reducing the thickness of the constituent member of the tire 2, for example, by reducing the thickness of the constituent member of the unvulcanized raw tire or by directly cutting the vulcanized tire 2 Can do. Accordingly, it is possible to manufacture the tire 2 that can effectively improve the rolling resistance performance while maintaining the deterioration of the road noise resistance performance (vibration resistance performance). In addition, about the quantity which makes the thickness of the structural member of the tire 2 small, it can set suitably based on a tire member, the structure of a tire, and the improvement of the rolling resistance calculated | required by the tire 2. FIG.

  In step S142 of this embodiment, an example in which the step of reducing the thickness of the constituent members of the tire 2 based on the position of the element F (i) having a relatively small vibration / deformation parameter Ea / Eb is illustrated. However, the present invention is not limited to this. For example, a step of replacing the loss tangent tan δ of the tire 2 with a member that reduces the loss tangent tan δ may be performed based on the position of the element F (i) having a relatively small vibration / deformation parameter Ea / Eb.

  A member (not shown) for reducing the loss tangent of the tire is a rubber member having a small loss tangent tan δ. Such a rubber member can suppress the vibration of the tire 2 from being converted into heat by being attached to the position of the element F (i) having a relatively small vibration / deformation parameter Ea / Eb. Therefore, the rolling resistance can be effectively reduced.

  The loss tangent tan δ of this rubber member conforms to JIS K6394, and the loss tangent tan δ in the frequency range of 100 Hz to 500 Hz at 30 ° C. is 1.5 to 5.5 under the conditions of dynamic strain of 14.432 N and frequency of 1 Hz to 100 Hz. It is desirable that the loss tangent tan δ is set to 0 to 0.3 in a frequency range of 10 Hz at 0 ° C. Such a rubber member can reduce energy loss while suppressing an increase in tire vibration.

  It should be noted that a step of attaching the damping member 9 described above, a step of replacing with a damping member (not shown), a step of reducing the thickness of the constituent member of the tire 2, and a member for reducing the loss tangent tan δ of the tire 2 are provided. The step of pasting may be performed independently or may be performed in combination. Thereby, it is possible to manufacture the tire 2 that can effectively improve the rolling resistance performance while maintaining the deterioration of the road noise resistance performance (vibration resistance performance).

  In the modification step S13 of the embodiments so far, the aspect of modifying the tire structure based on the vibration / deformation parameter Ea / Eb of each element F (i) has been exemplified, but the present invention is not limited to this. . For example, the structure of the tire 2 may be modified based on the deformation / vibration parameter Eb / Ea of each element F (i).

  As described above, at the position of each element F (i) of the tire model 21 (shown in FIG. 4), the larger the deformation / vibration parameter Eb / Ea, the greater the influence on the rolling resistance, and It shows that the influence on vibration is small. Therefore, in the correction step S13, the step of reducing the thickness of the constituent member of the tire 2 or the loss tangent of the tire 2 based on the position of the element F (i) having a relatively large deformation / vibration parameter Eb / Ea. It is desirable that a step of replacing with a member to be reduced is performed. Thereby, it is possible to manufacture the tire 2 that can effectively improve the rolling resistance performance while maintaining the deterioration of the road noise resistance performance (vibration resistance performance).

  Further, at the position of each element F (i) of the tire model 21 (shown in FIG. 4), the smaller the deformation / vibration parameter Eb / Ea, the greater the influence on the tire vibration, and the tire rolling resistance. It shows that the influence on is small. Therefore, in the correction step S13, the step of attaching the damping member 9 for absorbing the vibration of the tire 2 based on the position of the element F (i) whose deformation / vibration parameter Eb / Ea is relatively small, Preferably, the step of replacing the two constituent members with a damping member for absorbing the vibration of the tire is performed. Thereby, it is possible to manufacture the tire 2 that can suppress the deterioration of the rolling resistance while absorbing the vibration of the tire 2.

  As mentioned above, although especially preferable embodiment of this invention was explained in full detail, this invention is not limited to embodiment of illustration, It can deform | transform and implement in a various aspect.

  The first strain energy loss Ea based on the vibration simulation and the second strain energy loss based on the deformation simulation using the tire model obtained by modeling the tire shown in FIG. 2 in accordance with the processing procedure shown in FIGS. Eb was determined. Based on the first strain energy loss Ea and the second strain energy loss Eb, vibration / deformation parameters Ea / Eb were calculated.

  Further, in the tire meridian cross section, the average value of the vibration / deformation parameters Ea / Eb was calculated for each of the six regions divided between the tire equator and the bead portion. Then, according to the procedure of FIGS. 10 and 12, the damping member is attached to the tire lumen surface in the region where the average value of the vibration / deformation parameters Ea / Eb is the largest (in this example, the region closest to the tire equator). (Example).

Then, the rolling resistance performance and road noise resistance performance of the tire of the example with the damping member attached and the tire of the comparative example without the damping member were compared. The common specifications are as follows.
Tire size: 195 / 65R15
Rims: 15x6J
Internal pressure: 230kP
Load: 4.33kN
Vehicle: 2000cc domestic FF car Damping member:
Loss tangent tan δ in the frequency range of 30 ° C. to 100 Hz: 1.80
Loss tangent tan δ in a frequency range of 10 ° C. at 70 ° C .: 0.088
Thickness W1: 2mm

<Road noise resistance>
The tires of the examples and comparative examples were assembled on the rim under the above conditions and mounted on all the wheels of the vehicle. Then, on the smooth road surface, the vehicle was driven at a speed of 50 km / h, and the noise level (dB) of the 1/3 octave 315 Hz band was measured at the position of the left ear of the driver's seat. The evaluation was expressed as an index with the comparative example as 100. The larger the index, the better the road noise resistance.

<Rolling resistance performance>
Using a rolling resistance tester, rims were assembled on test tires under the above conditions, and rolling resistance was measured when the test tires were run under the following conditions. The larger the index, the better the rolling resistance performance.
Load: 3.43kN
Speed: 80km / h
The test results are shown in Table 1.

  As a result of the test, the tire of the example was able to significantly improve road noise resistance as compared with the tire of the comparative example. On the other hand, the rolling resistance performance of the tire of the example and that of the comparative example were substantially the same. Therefore, in the simulation method and the manufacturing method of the present invention, the position having a high influence on the vibration performance or rolling resistance performance of the tire is specified, and the vibration performance is reliably improved while suppressing the deterioration of the rolling resistance of the tire. I was able to.

2 Tire 9 Damping member 21 Tire model F (i) Element Ea First strain energy loss Eb Second strain energy loss

Claims (9)

Setting a tire model in which a tire is modeled by a finite number of elements in a computer;
A first calculation step in which the computer executes a vibration simulation using the tire model and calculates a first strain energy loss Ea of each element;
A second calculation step in which the computer executes a deformation simulation using the tire model and calculates a second strain energy loss Eb of each element; and the computer performs the first strain energy loss for each element. The vibration / deformation parameter Ea / Eb obtained by dividing Ea by the second strain energy loss Eb or the deformation / vibration parameter Eb / Ea obtained by dividing the second strain energy loss Eb by the first strain energy loss Ea is calculated. A tire simulation method comprising a step. The first calculation step includes a step of executing eigenvalue analysis using the tire model, and a step of calculating the first strain energy loss Ea of each element based on an eigenvalue and an eigenvector. Tire simulation method. The computer further includes the step of setting a road surface model obtained by modeling the road surface with a finite number of elements,
The tire simulation method according to claim 1, wherein the second calculation step includes a step in which the computer calculates the second strain energy loss Eb by grounding the tire model on the road surface model. The computer further includes the step of setting a road surface model obtained by modeling the road surface with a finite number of elements,
3. The tire according to claim 1, wherein the second calculation step includes a step in which the computer calculates the second strain energy loss Eb by performing rolling calculation of the tire model in contact with the road surface model. Simulation method. A tire manufacturing method comprising:
Preparing the tire;
Executing the tire simulation method according to any one of claims 1 to 4 based on the tire;
And a correction step of correcting the structure of the tire based on the vibration / deformation parameter Ea / Eb or the deformation / vibration parameter Eb / Ea.   The tire according to claim 5, wherein the correcting step includes a step of attaching a damping member for absorbing vibration of the tire based on a position of the element having a relatively large vibration / deformation parameter Ea / Eb. Manufacturing method.   The correcting step includes a step of replacing a constituent member of the tire with a damping member for absorbing vibration of the tire based on a position of the element having a relatively large vibration / deformation parameter Ea / Eb. The tire manufacturing method according to claim 5.   The tire manufacturing method according to claim 5, wherein the correcting step includes a step of reducing a thickness of a constituent member of the tire based on a position of the element in which the vibration / deformation parameter Ea / Eb is relatively small.   The tire manufacturing method according to claim 5, wherein the correcting step includes a step of replacing the loss tangent of the tire with a member that reduces the loss tangent of the tire based on the position of the element having the relatively small vibration / deformation parameter Ea / Eb.