JP6003174B2 - Tire model creation method for simulation, tire simulation method, computer program used in these methods, and tire simulation apparatus - Google Patents

Description

  The present invention relates to a method for creating a simulation tire model using a computer, a tire simulation method, a computer program used for these methods, and a tire simulation apparatus.

  A technique for evaluating various performances of a tire by a simulation using a finite element method or the like by an analysis using a computer and designing a tire based on the evaluation has been proposed and put into practical use. It is known that the outer diameter of the tread portion grows radially outward in the running process of the tire. Therefore, there is a need for a simulation method for simulating and predicting tire characteristics after growing by running. As such a simulation, for example, a tire design method described in Patent Document 1 is known.

Japanese Patent No. 4152338

  The simulation method described in Patent Document 1 fills the tire model twice with the internal pressure. This method has a relatively large difference from a state in which an actual tire has undergone diameter growth, and may cause a decrease in accuracy when simulating the characteristics of a tire that has undergone diameter growth by running. In particular, when the flatness ratio is lowered, the above-described difference becomes remarkable, and the accuracy of simulation may be greatly reduced.

  An object of this invention is to suppress the fall of the precision at the time of simulating the characteristic of the tire which diameter grew by driving | running | working.

  The present invention, when creating a tire model for simulation to be used for simulation of tires by a computer, at least the step of creating a tire model by dividing the tire to be simulated into a finite number of elements, A step of creating an initial tire model by increasing an internal pressure to be applied to a portion other than the center portion than an internal pressure to be applied to a center portion that is within a predetermined distance from a widthwise center portion of the tire model toward both sides in the width direction; And a step of applying a uniform internal pressure to the initial tire model to create a simulation tire model to be used for simulation.

In the present invention, the center portion has a dimension in the width direction of the tire model that is not less than 0.5 times and not more than 0.7 times the belt width of the widest belt of the tire model, The pressure ratio Ps / Pc between the internal pressure Pc to be applied and the internal pressure Ps to be applied to other than the center portion is preferably represented by the formula (1) which is a linear function of the flatness ratio x.
Ps / Pc = −a × x + 2.665 (1)
a is 0.5 or more and 2.665 or less.

  In the present invention, on the inner surface of the tire model, the difference in internal pressure applied to elements or nodes adjacent to each other at the boundary between the center portion and other than the center portion is 30% or less of the internal pressure applied to other than the center portion. It is preferable that

  In the present invention, the dimension of the first element existing in the region from the boundary between the center part and the area other than the center part to the outer side in the width direction of the widest belt of the tire model is the first element existing in the center part. Preferably less than the maximum dimension of the two elements.

  In the present invention, the width of the first element is preferably smaller than the width of the second element.

  The present invention is a tire simulation method in which a computer executes a simulation using the simulation tire model created by the simulation tire model creation method described above.

  The present invention is a computer program for creating a tire model for simulation, which causes the computer to execute the method for creating a tire model for simulation described above.

  The present invention is a computer program for simulation, which causes the computer to execute the tire simulation method described above.

  In simulating a tire, the present invention divides a tire to be simulated into a finite number of elements to create a tire model, and a predetermined distance from the center in the width direction of the tire model toward both sides in the width direction. A simulation for creating an initial tire model by making the internal pressure to be applied to a portion other than the center portion larger than the internal pressure to be applied to the center portion, which is a range, and applying a uniform internal pressure to the initial tire model to be used for simulation The tire simulation device is characterized in that a tire model is created and a simulation is executed using the tire model for simulation.

  The present invention can suppress a decrease in accuracy when simulating the characteristics of a tire whose diameter has grown by running.

FIG. 1 is a cross-sectional view showing a meridional section passing through a rotation axis of a pneumatic tire. FIG. 2 is an explanatory diagram illustrating the tire simulation apparatus according to the first embodiment. FIG. 3 is a flowchart of a method for creating a simulation tire model and a tire simulation method according to the present embodiment. FIG. 4 is a diagram illustrating an example of a tire model. FIG. 5 is a diagram illustrating an example of elements included in the tire model. FIG. 6 is a schematic diagram illustrating a process of creating an initial tire model by imparting unequal internal pressure to a tire model. FIG. 7 is a schematic diagram showing a process of creating a tire model for simulation by equally applying an internal pressure to the initial tire model. FIG. 8 is a partial cross-sectional view showing a meridional section of a tire model. FIG. 9 is a diagram showing the relationship between the tire flatness and the pressure ratio. FIG. 10 is a diagram illustrating a relationship between elements on the inner surface of the tire model and internal pressure applied to the inner surface. FIG. 11 is a meridional sectional view of a tire model for explaining a modification of the present embodiment. FIG. 12 is a diagram showing the relationship between the diameter growth parameter Rs / Rc and the flatness. FIG. 13 is a diagram illustrating a result of the second evaluation example. FIG. 14 is a diagram illustrating a result of the second evaluation example. FIG. 15 is a diagram illustrating a result of the second evaluation example. FIG. 16 is a diagram illustrating a result of the third evaluation example. FIG. 17 is a diagram illustrating the results of the third evaluation example. FIG. 18 is a diagram illustrating a result of the third evaluation example.

  DESCRIPTION OF EMBODIMENTS Hereinafter, modes (embodiments) for carrying out the present invention will be described in detail with reference to the drawings. In the present embodiment, the tire is described as an example of a pneumatic tire, but the application target of the present embodiment is not limited to the tire. Further, the present embodiment can be applied to any tire, whether it is a tire for a passenger car (PC tire), a truck, a bus tire (TB tire), or the like.

  The equatorial plane means a plane perpendicular to the tire rotation axis of the pneumatic tire and passing through the center in the width direction of the pneumatic tire. The width direction (width direction) of the pneumatic tire means a direction parallel to the rotation axis of the pneumatic tire, the inside in the width direction means the side toward the equator in the width direction of the pneumatic tire, and the outside in the width direction means air. It means the side away from the equator plane in the width direction of the entering tire. The radial direction (radial direction) of the pneumatic tire means a direction orthogonal to the rotational axis of the pneumatic tire, and the radially inner side means the side toward the rotational axis of the pneumatic tire in the radial direction of the pneumatic tire, radial direction The outside means the side away from the rotation axis in the radial direction of the pneumatic tire. The circumferential direction (circumferential direction) of the pneumatic tire means a circumferential direction with the rotation axis of the pneumatic tire as the central axis.

  FIG. 1 is a cross-sectional view showing a meridional section passing through a rotation axis of a pneumatic tire. As shown in FIG. 1, a carcass 2, a belt 3, a belt cover 4, and a bead core 5 appear in a meridional section of a pneumatic tire (hereinafter, referred to as a tire as necessary) 1. The tire 1 is a structure having a composite material portion in which rubber as a base material is reinforced by reinforcing cords such as a carcass 2, a belt 3 and a belt cover 4 as reinforcing materials. Here, the layer of the reinforcing cord made of a cord material such as a metal fiber or an organic fiber, such as the carcass 2, the belt 3, and the belt cover 4, is referred to as a cord layer.

  The carcass 2 is a strength member that serves as a pressure vessel when the tire 1 is filled with air. The carcass 2 supports a load by its internal pressure and withstands a dynamic load during traveling. The belt 3 is a layer of reinforcing cords in which rubberized cords arranged between the cap tread 6 and the carcass 2 are bundled. In the case of a bias tire, it is called a breaker. In the radial tire, the belt 3 plays an important role as a shape retention and strength member.

  A belt cover 4 is disposed on the ground surface G side of the belt 3. The belt cover 4 is formed by arranging, for example, organic fiber materials in layers, and has a role as a protective layer for the belt 3 and a role as a reinforcing layer for the belt 3. The bead core 5 is a bundle of steel wires that supports the cord tension generated in the carcass 2 by internal pressure. The bead core 5 becomes a strength member of the tire 1 together with the carcass 2, the belt 3, the belt cover 4, and the tread. A groove 7 is formed on the ground surface G side of the cap tread 6. This improves drainage during rainy weather. The side portion of the tire 1 is called a sidewall 8 and connects between the bead core 5 and the cap tread 6. Further, a shoulder portion Sh is provided between the cap tread 6 and the sidewall 8. Next, an apparatus for executing a tire simulation method according to the present embodiment (hereinafter referred to as a simulation method as necessary) will be described.

  FIG. 2 is an explanatory diagram illustrating the tire simulation apparatus according to the first embodiment. A tire simulation apparatus (hereinafter referred to as a simulation apparatus as appropriate) 50 executes a simulation tire model creation method and a tire simulation method according to the present embodiment. In the present embodiment, the simulation device 50 is a computer, and includes a processing unit 50p, a storage unit 50m, and an input / output unit 50io. The processing unit 50p includes a model creation unit 51 and an analysis unit 52. These execute the simulation tire model creation method and tire simulation method according to the present embodiment. In the simulation apparatus 50, an input / output device 60 is connected to the input / output unit 50io, and an input device 61 and a display device 62 are connected to the input / output device 60io. The input / output device 60 inputs information necessary for creation of a tire model and simulation using the created tire model to the processing unit 50p or the storage unit 50m via the input / output unit 50io.

  The model creation unit 51 creates an analysis model of a tire to be simulated, that is, a tire model. An analysis model is a model that is used to perform rolling analysis, noise analysis, vibration analysis, etc. on a simulation target using a numerical analysis method such as a finite element method or a finite difference method, and can be analyzed by a computer. Models, including mathematical models and mathematical discretization models. An analysis model is a collection of numerical data that can be handled by a computer. In the present embodiment, a finite element method is used as an analysis method used for simulation or the like using the created tire model. When the finite element method is used as an analysis method, an analysis model is created by dividing a simulation target into a finite number of elements including a plurality of nodes. The analysis unit 53 performs rolling analysis, vibration analysis, or the like on the tire model for which the characteristics are set.

  The storage unit 50m stores a computer program including various steps of a simulation tire model creation method and a tire simulation method according to the present embodiment, various data, and the like. Here, the storage unit 50m can be configured by a volatile memory such as a RAM (Random Access Memory), a nonvolatile memory, a hard disk device, or a combination thereof. The processing unit 50p can be configured by a memory and a CPU (Central Processing Unit).

  The computer program described above includes a simulation tire model creation method and a tire simulation method according to the present embodiment in combination with a computer program already recorded in the model creation unit 51 or the analysis unit 52 included in the processing unit 50p. The processing procedure may be realized. The simulation apparatus 50 may realize functions of the model creation unit 51 and the analysis unit 53 included in the processing unit 50p using dedicated hardware instead of the computer program described above. Next, a method for creating a simulation tire model and a tire simulation method according to the present embodiment will be described. The simulation tire model creation method and the tire simulation method according to the present embodiment are realized by the simulation device 50.

  FIG. 3 is a flowchart of a method for creating a simulation tire model and a tire simulation method according to the present embodiment. FIG. 4 is a diagram illustrating an example of a tire model. FIG. 5 is a diagram illustrating an example of elements included in the tire model. FIG. 6 is a schematic diagram illustrating a process of creating an initial tire model by imparting unequal internal pressure to a tire model. FIG. 7 is a schematic diagram showing a process of creating a tire model for simulation by equally applying an internal pressure to the initial tire model. 6 and 7 show meridian cross sections.

  In step S101, the model creation unit 51 included in the processing unit 50p of the simulation apparatus 50 illustrated in FIG. 2 creates the tire model 10 illustrated in FIG. In the step of creating the tire model 10, the model creation unit 51 divides the tire to be simulated according to the present embodiment into a finite number of elements E, and creates the tire model 10 shown in FIG. 4, for example. As shown in FIG. 5, the element E has a plurality of nodes N1 to N4, and is formed from these nodes N1 to N4. The model creation unit 51 creates the tire model 10 from data that is the basis of the tire model 10, for example, design data.

  The model creation unit 51 stores the created tire model 10 in the storage unit 50m. The element E of the tire model 10 or the like includes, for example, a tetrahedral solid element, a pentahedral solid element, a hexahedral solid element such as a tetrahedral solid element, a triangular shell element, a shell element such as a quadrangular shell element, a surface element, etc. It is desirable to make it an element that can be handled by a computer. In the process of simulation, the elements thus divided are identified one by one using three-dimensional coordinates and cylindrical coordinates in the three-dimensional model.

  Next, in step S102, as shown in FIG. 6, the model creation unit 51 imparts the inner pressures Pc and Ps (Pc <Ps) nonuniformly to the inner surface 10i of the tire model 10 created in step S101. Thus, the initial tire model 11 is created. In the step of creating the initial tire model 11, the model creation unit 51 applies the internal pressure to the inner surface of the tire model 10, and the center portion Ac that is within a predetermined distance from the widthwise center portion CL toward both sides in the width direction. The internal pressure Ps applied to As other than the center portion is made larger than the internal pressure Pc applied to. By doing in this way, model creation part 51 creates initial tire model 11 which reproduced the state after a tire run. The created initial tire model 11 is stored in the storage unit 50m shown in FIG.

  In the example illustrated in FIG. 6, the center portion Ac is between the positions S and S on both sides in the width direction of the width direction center portion CL. The regions from the respective positions S and S to the bead toe portions BT and BT of the tire model 10 are As and As other than the center portion.

  When the initial tire model 11 is created, in step S103, the model creation unit 51 uniformly applies an internal pressure Pi to the inner surface 11i of the initial tire model 11 as shown in FIG. In this step, the model creation unit 51 creates a simulation tire model 12 for use in simulation and stores it in the storage unit 50m. Steps S101 to S103 correspond to a method for creating a simulation tire model according to the present embodiment.

  After step S103 is completed, in step S104, the analysis unit 52 of the processing unit 50p shown in FIG. 2 reads the created simulation tire model 12 from the storage unit 50m. And the analysis part 52 performs the simulation using the tire model 12 for simulation, after setting various conditions required for simulation. Step S104 corresponds to the tire simulation method according to the present embodiment. The simulation in step S104 simulates the characteristics of the tire on the computer after the tire has grown radially outward (radial growth, swelled diameter). Tire characteristics after swelling due to running include durability such as wear, uneven wear, cracks and chafer separation, steering stability, performance on ice, rolling resistance, NV (Noise Vibration), ride comfort, spring characteristics Including all tire characteristics such as high pre performance, water splashing and traction performance.

  The method for creating the simulation tire model according to the present embodiment creates the initial tire model 11 by making the internal pressure Ps applied to the As other than the center portion larger than the internal pressure Pc applied to the center portion Ac of the tire model 10, A tire model 12 for simulation is created by uniformly applying an internal pressure Pi to the inner surface 11i. By doing in this way, the preparation method of the tire model for simulation concerning this embodiment can create the initial tire model 11 which reproduced the tire expanded diameter by running accurately. Further, since the tire simulation method according to the present embodiment uses the simulation tire model 12 in which the internal pressure is applied to the initial tire model 11 created by the above-described method, the characteristics of the tire expanded by running are accurately simulated. Can be evaluated. Thus, this embodiment can suppress the precision fall at the time of simulating the characteristic of the tire which carried out diameter growth by running. Next, the center portion Ac and As other than the center portion will be described in more detail.

  FIG. 8 is a partial cross-sectional view showing a meridional section of a tire model. In FIG. 8, only half of the equator plane RP is shown. FIG. 9 is a diagram showing the relationship between the tire flatness and the pressure ratio. The center portion Ac preferably has a dimension Ws in the width direction of the tire model 10 that is not less than 0.5 times and not more than 0.7 times the belt width WBmax of the widest belt 10B that the tire model 10 has. The dimension of the center part Ac is the dimension in the width direction of the tire model 10, and more specifically is the distance between the positions S and S in the width direction described above. Further, the belt width WBmax of the widest belt 10B is a distance between both end portions 10BT (positions indicated by Bt in FIG. 8) in the width direction of the belt 10B. Since the meridional section of the tire model 10 shown in FIG. 8 is only half of the equatorial plane RP, the distance from the equatorial plane RP to one position S is Ws / 2, and the width direction of the belt 10B from the equatorial plane RP. The distance to one end 10BT is Wmax / 2. By doing in this way, the initial tire model 11 which reproduced the tire expanded by driving | running | working accurately can be produced easily.

  FIG. 9 is a diagram showing the relationship between the tire flatness and the pressure ratio. Assuming that the internal pressure applied to the center portion Ac is Pc and the internal pressure applied to the As other than the center portion is Ps, the pressure ratio Pc / Ps is a linear function of the flatness ratio x of the tire to be simulated -a × x + 2. 665. That is, Pc / Ps = −a × x + 2.665. At this time, a is 0.5 or more and 2.665 or less. By doing in this way, the initial tire model 11 which reproduced the tire expanded by driving | running | working accurately can be produced easily. The straight lines indicated by La, Lb, and Lc in FIG. 9 are a = 2.665, 1.7, and 0.5, respectively. The straight line indicated by Ld is an example in which Ps / Pc = 1, that is, an internal pressure is uniformly applied to the tire model 10.

  As shown in FIG. 8, the width direction outer side of the widest belt 10 </ b> B that the tire model 10 has from the boundary (the portion indicated by S in FIG. 8) between the center portion Ac and As other than the center portion, more specifically the width. The size of the first element Ei existing in the region Ai up to the end portion 10BT on the outer side in the direction is preferably smaller than the maximum size of the second element Ec existing in the center portion Ac. By doing in this way, the deformation | transformation of the shoulder part Sh can be calculated | required accurately. In the present embodiment, the width of the first element Ei (the dimension in the direction parallel to the Y axis) is made smaller than the maximum width of the second element Ec, but is not limited to this. For example, the dimension in the radial direction of the first element Ei may be smaller than the maximum dimension in the radial direction of the second element Ec. In the circumferential direction, the dimension of the first element Ei and the dimension of the second element Ec are the same. The number of elements in the radial direction of the tire model 10 is preferably at least 3 or more.

  FIG. 10 is a diagram illustrating a relationship between elements on the inner surface of the tire model and internal pressure applied to the inner surface. Difference in internal pressure applied to adjacent elements En, En + 1 or nodes Nn, N + 1 at the boundary (position S in FIGS. 8 and 10) between the center portion Ac and the non-center portion As on the inner surface 10i of the tire model 10. ΔP (= Ps−Pc) is preferably 30% or less of the internal pressure Ps applied to As other than the center portion. By doing so, smooth deformation of the tire model 10 can be obtained even when non-uniform internal pressure is applied to the tire model 10 in order to create the initial tire model 11.

  FIG. 11 is a meridional sectional view of a tire model for explaining a modification of the present embodiment. In the example described above, different internal pressures are applied to the center part Ac of the tire model 10 and the As other than the center part. In this modified example, As other than the center portion is further divided into a first portion Asa and a second portion Ab, and different internal pressures are applied to each. In the present embodiment, the second part Ab corresponds to the bead part 10BD of the tire model 10. In the present embodiment, the position B at the radially outer end of the bead filler is the boundary between the first part Asa and the second part Ab.

It is preferable that Ps>Pb> Pc , where Pc is an internal pressure applied to the center part Ac , Ps is an internal pressure applied to the first part Asa, and Pb is an internal pressure applied to the second part Ab. By doing in this way, the initial tire model 11 which reproduced accurately the tire expanded by driving | running | working also including a bead part can be created simply. As described above, the region after the tire model 10 is divided is not limited to the two regions of the center portion Ac and the portion other than the center portion As.

(First evaluation example)
FIG. 12 is a diagram showing the relationship between the diameter growth parameter Rs / Rc and the flatness. The first evaluation example is a simulation tire model (example) created by the simulation tire model creation method according to the present embodiment, a simulation tire model according to a comparative example, and an actual tire. It is an example which evaluated diameter growth. Lf in FIG. 12 is an actual measurement value using an actual tire, Le is a result of the example, and Lg is a result of the comparative example. The comparative example is a simulation tire model created by uniformly applying an internal pressure to the tire model 10 and then applying the internal pressure uniformly again.

  In the first evaluation example, the ratio Rs / Rc between the radius Rs of As other than the center portion and the center portion Ac radius Rc was used as the diameter growth parameter. In the actual tire, the diameter growth parameter Rs / Rc after running was used, and in the examples and comparative examples, the diameter growth parameter Rs / Rc of the simulation tire model was used. From the results of FIG. 12, it can be seen that in the example, the difference in the diameter growth parameter Rs / Rc for the actual tire is smaller than in the comparative example. Further, in the comparative example, as the flatness ratio becomes smaller, the difference in the diameter growth parameter Rs / Rc with respect to the actual tire becomes larger, but it can be understood that the increase in the difference is smaller than that in the comparative example. Thus, the example can reproduce the actual tire bulge diameter more accurately than the comparative example. Further, in the example, even if the flatness is reduced, the difference from the actual tire is not as great as that in the comparative example. As described above, the embodiment is particularly effective when the flatness of the tire to be simulated becomes low.

(Second evaluation example)
13 to 15 are diagrams illustrating the results of the second evaluation example. The first evaluation example is a result of evaluating a 435 / 45R22.5 TB tire by actual measurement, the method according to the present embodiment, and the method according to a comparative example. In the second evaluation example, the ground contact shape after expansion was evaluated. Shr shown in FIG. 13 is a ground contact shape of an actual tire, Shp shown in FIG. 14 is a ground contact shape of a simulation tire model according to the present embodiment, and Shc shown in FIG. 15 is a simulation tire according to a comparative example. This is the model ground contact shape. The comparative example is a simulation tire model created in the same manner as the comparative example of the first evaluation example. From these results, it can be seen that according to the present embodiment, a ground contact shape closer to the actual tire contact shape than the comparative example can be obtained.

(Third evaluation example)
16 to 18 are diagrams showing the results of the third evaluation example. The second evaluation example is a result of evaluating a 315 / 60R22.5 TB tire by actual measurement, the method according to this embodiment, and the method according to a comparative example. In the third evaluation example, the ground contact shape after expansion was evaluated as in the second evaluation example. Shr shown in FIG. 16 is a ground contact shape of an actual tire, Shp shown in FIG. 17 is a ground contact shape of a simulation tire model according to the present embodiment, and Shc shown in FIG. 18 is a simulation tire according to a comparative example. This is the model ground contact shape. The comparative example is a simulation tire model created in the same manner as the comparative example of the first evaluation example. From these results, it can be seen that according to the present embodiment, a ground contact shape closer to the actual tire ground contact shape than the comparative example can be obtained.

  Although the present embodiment has been described above, the present embodiment is not limited to the above-described content. In addition, the constituent elements of the above-described embodiments include those that can be easily assumed by those skilled in the art, substantially the same components, and so-called equivalent ranges. Furthermore, the above-described components can be appropriately combined. In addition, various omissions, substitutions, and changes of the components can be made without departing from the scope of the present embodiment.

DESCRIPTION OF SYMBOLS 1 Tire 2 Carcass 3, 10B Belt 4 Belt cover 5 Bead core 6 Cap tread 7 Groove 8 Side wall 10 Tire model 10BD Bead part 10BT End part 10i, 11i Inner surface 11 Initial tire model 12 Tire model 50 for simulation Tire simulation apparatus 50io On Output unit 50m Storage unit 50p Processing unit 51 Model creation unit 52 Analysis unit Ac Center unit As Other than center unit

Claims (8)

In creating a tire model for simulation to be used for tire simulation by a computer, the computer has at least:
Dividing the tire to be simulated into a finite number of elements and creating a tire model;
While increasing the internal pressure than the internal pressure to be applied to the center portion in the range of a predetermined distance toward the both sides in the width direction from the central portion in the width direction of the tire model applied to other than the center portion, as other than the center portion, said tire A first portion that is a range from the end of the center portion in the width direction of the model to a position at the radially outer end of the bead filler, and a range radially inward of the radially outer end of the bead filler. A certain second part is set, and the relationship between the internal pressure Pc applied to the center part, the internal pressure Ps applied to the first part, and the internal pressure Pb applied to the second part is Ps>Pb> Pc. Creating an initial tire model;
Applying a uniform internal pressure to the initial tire model to create a simulation tire model for simulation; and
A method for creating a tire model for simulation, characterized in that On the inner surface of the tire model, a difference in internal pressure applied to elements or nodes adjacent to each other at a boundary between the center portion and other than the center portion is 30% or less of an internal pressure applied to the portion other than the center portion. Item 2. A method for creating a tire model for simulation according to Item 1 . The dimension of the first element existing in the region from the boundary between the center part and the part other than the center part to the outer side in the width direction of the widest belt of the tire model is the maximum of the second element existing in the center part. The method of creating a tire model for simulation according to claim 1 or 2 , wherein the tire model is smaller than the size. The method for creating a simulation tire model according to claim 3 , wherein the width of the first element is smaller than the width of the second element. A tire simulation method, wherein the computer executes a simulation using the simulation tire model created by the simulation tire model creation method according to any one of claims 1 to 4 . A computer program for creating a simulation tire model, which causes the computer to execute the simulation tire model creation method according to any one of claims 1 to 4 . A computer program for simulation, which causes the computer to execute the simulation method according to claim 5 . When simulating tires,
The tire to be simulated is divided into a finite number of elements to create a tire model,
While increasing the internal pressure than the internal pressure to be applied to the center portion in the range of a predetermined distance toward the both sides in the width direction from the central portion in the width direction of the tire model applied to other than the center portion, as other than the center portion, said tire A first portion that is a range from the end of the center portion in the width direction of the model to a position at the radially outer end of the bead filler, and a range radially inward of the radially outer end of the bead filler. A certain second part is set, and the relationship between the internal pressure Pc applied to the center part, the internal pressure Ps applied to the first part, and the internal pressure Pb applied to the second part is Ps>Pb> Pc. Create an initial tire model,
Applying a uniform internal pressure to the initial tire model, creating a simulation tire model for simulation,
A simulation is executed using the tire model for simulation.
A tire simulation apparatus.

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