JP2007011474A - Method for forming composite material model - Google Patents

Abstract

<P>PROBLEM TO BE SOLVED: To efficiently form a model of a composite material formed by embedding a linear member in a base material while spirally wound around the ring member such as a cable bead in a tire. <P>SOLUTION: A first basic model formed of a first columnar element that is a finite element and a second basic model formed of a second columnar element that is a finite element arranged along the axial direction of the first columnar element are provided as a unit model, and a columnar model is formed by connecting a plurality of unit models in line. The shape of the second basic model is deformed by twisting one end of the columnar model with a twisting angle around the axial line of the first columnar element while fixing the other end thereof. The columnar model with the second basic model deformed is circularly deformed to form a ring model in which a linear member model is spirally wound around a ring member model. <P>COPYRIGHT: (C)2007,JPO&INPIT

Description

  The present invention creates a composite material model that reproduces a composite material in which a linear member is spirally wound around a ring-shaped member and embedded in a base material using a finite element, for example, a model of a cable bead or the like in a tire Regarding the method.

In a rubber composite material such as a tire, a reinforcing material such as a steel cord is embedded in a rubber member of a tire that serves as a base material. For example, a bead member is mentioned as a rubber composite material of a tire. The bead member is a member in which a bead wire made of a steel cord is covered with a rubber member. As a bead member, a cable bead having a configuration in which a plurality of bead wires are spirally wound around a central steel wire is known.
When the cable bead is embedded in a tire, the bead filler portion is rotatably deformed with the steel wire serving as the center as the center of rotation, so that the tire characteristics can be effectively changed.

  By the way, when a tire including a cable bead is simulated using the finite element method, it is necessary to create a finite element model that reproduces the configuration of the cable bead or the like. As a method for creating a finite element model, for example, Patent Document 1 below can be cited.

  In Patent Document 1, a finite element model is created as a uniform member without distinguishing between a steel wire and a rubber member in the composite material, and the material parameters of the composite material at this time are expressed as equivalent parameters as a uniform member. The finite element analysis of the entire structure including the composite material is performed, and then the wire model and the rubber member model are created for each of the steel wire and the rubber member, and the result of the finite element analysis obtained in the overall analysis step is performed. Based on the information, it discloses disclosing a finite element analysis of the mechanical properties of the composite material.

JP 2004-93530 A

  However, the cable bead has a configuration in which a plurality of steel wires are spirally wound around the steel wire that becomes the center, and the configuration is complicated, so it is difficult to accurately reproduce the finite element model. is there. Also, when creating a cable bead finite element model with a large number of nodes in order to create a highly accurate finite element model, there was a problem that it took a lot of creation time and efficient analysis could not be performed. .

  Therefore, in order to solve the above-described problems, the present invention provides a composite material in which a linear member is spirally wound around a ring-shaped member and embedded in a base material, such as a cable bead, as a finite element. An object of the present invention is to provide a method for creating a composite material model that can be reproduced efficiently by using.

  The present invention is a method for creating a composite material model that uses a finite element to reproduce a composite material in which a linear member is spirally wound around a ring member and embedded in a base material. A first basic model composed of a certain first columnar element, and a second basic model composed of a second columnar element that is a finite element arranged along the axial direction of the first columnar element And creating a linearly extending columnar model by connecting a plurality of unit models in a line in the axial direction using the first basic model and the second basic model as unit models, and The shape of the second basic model is obtained by fixing one end of the columnar model and twisting the other end with a twist angle around the axis of the first columnar element. A step of deforming, and the second basic mode. Reproduce the linear member around the ring-shaped member model by reproducing the ring-shaped member by deforming the columnar model deformed by Dell into an arc shape and joining one end of the columnar model to the other end A ring-shaped model that reproduces a ring-shaped model in which the linear member model wound spirally, a step of creating a base material model that surrounds the created ring-shaped model, and the ring-shaped model includes: Applying a constraint condition to the ring model so that the contact surface in contact with the base material model does not cause a relative displacement with respect to the contact surface of the base material model. Provides a method of creating.

  The present invention is also a method for creating a composite material model that reproduces, using a finite element, a composite material in which a linear member is spirally wound around a ring-shaped member and embedded in a base material. A first line element that is an element, and a second line element that is in a positional relationship parallel to the first line element and is a finite element arranged at a certain distance from the first line element; Creating a linear model extending in a straight line by connecting a plurality of unit models in a row in the arrangement direction using the first line element and the second line element as a unit model, and By fixing one end of the created linear model and twisting the other end with a twist angle around the first line element while maintaining the constant distance, Deforming the shape of the second line element; and deforming the second line element. A ring-shaped member model that reproduces a ring-shaped member by deforming the linear model into an arc shape, and one end of the linear model is coupled to the other end, and a linear member that reproduces the linear member A ring model having a model, a step of creating a base material model surrounding the created ring model, and a virtual cylinder separated from the second line element of the ring model by a predetermined distance A side surface is a contact surface in contact with the base material model, and the contact surface has a step of giving a constraint condition to the ring model so as not to cause a relative displacement with respect to the contact surface of the base material model. A method of creating a composite material model is provided.

  Furthermore, the present invention is a method for creating a composite material model that reproduces, using a finite element, a composite material in which a linear member is spirally wound around a ring-shaped member and embedded in a base material. A first basic model composed of first columnar elements that are elements, and a second basic element composed of second columnar elements that are finite elements arranged along the axial direction of the first columnar elements. A columnar model extending in a straight line is created by connecting a plurality of unit models in a line in the axial direction using the first basic model and the second basic model as unit models. A step of deforming the columnar model into an arc shape to create a ring model; fixing one end of the ring model deformed into an arc shape and fixing the other end of the first basic model; Around the center axis By applying a twist angle and twisting, the shape of the second basic model is deformed, and the one end and the other end are combined to reproduce the ring-shaped member. Create a ring model with a linear member model that reproduces a linear member around it, and create a base material model that surrounds the ring model around which this linear member model is wound And applying a constraint condition to the ring model so that the contact surface of the ring model contacting the base material model does not cause relative displacement with respect to the contact surface of the base material model. A method for creating a composite material model is provided.

  Furthermore, the present invention is a method for creating a composite material model that reproduces, using a finite element, a composite material in which a linear member is spirally wound around a ring-shaped member and embedded in a base material. A first line element that is an element, and a second line element that is in a positional relationship parallel to the first line element and is a finite element arranged at a certain distance from the first line element; Creating a linear model extending in a straight line by connecting a plurality of unit models in a row in the arrangement direction using the first line element and the second line element as a unit model, and A step of creating a ring-shaped model having a ring-shaped member model that reproduces a ring-shaped member by deforming the linear model into an arc shape, and a linear member model that reproduces the linear member; Secure one end of the model and the other The second line element is deformed by twisting it with a twist angle around the first line element while maintaining the constant distance, and the one end and A step of creating a ring-shaped model in which a linear member model reproducing a linear member is spirally wound around a linear ring-shaped member model reproducing the ring-shaped member by combining the other ends; Creating a base material model surrounding a ring-shaped model in which a linear member model is spirally wound; and a cylindrical virtual side surface separated from the second line element of the ring-shaped model by a predetermined distance, A contact surface in contact with the base material model, and a step of imparting a constraint condition to the ring model so that the contact surface does not cause a relative displacement with respect to the contact surface of the base material model. Composite model To provide a creation method.

  The present invention is also a method for creating a composite material model that reproduces, using a finite element, a composite material in which a linear member is spirally wound around a ring member and embedded in a base material. A first surface element having a first shape having a cross-sectional shape of a linear member and a second shape in which the cross-sectional shape of the linear member is arranged in a predetermined direction with respect to the first shape is a first surface element. Forming on the plane of the first shape, rotating the second shape arranged in a predetermined direction with respect to the first shape around the first shape, and Forming a second surface element in which the arrangement position of the second shape is changed on the second plane, a perpendicular at a center position of the first shape on the first plane, and the second plane And the perpendicular line at the center position of the second shape is a tangent on the same arc, The first plane and the second plane are arranged so that the second plane forms a predetermined angle with respect to the first plane, whereby the first plane on the first plane is arranged. A step of creating a unit model of a ring-shaped model having both the end surface as one surface element and the second surface element on the second plane, and arranging a plurality of the unit models along the circumference of the arc At that time, the first surface element and the second surface element of the adjacent unit model are smoothly connected to each other, so that the linear member is formed around the ring-shaped member model reproducing the ring-shaped member. A step of creating a ring-shaped model in which a linear member model reproducing the spiral is wound, a step of creating a base material model surrounding the ring-shaped model in which the linear member model is wound in a spiral, and Ring model Applying a constraint condition to the ring model so that the contact surface in contact with the base material model does not cause a relative displacement with respect to the contact surface of the base material model. Provides a method of creating.

  Further, the present invention is a method for creating a composite material model that reproduces, using a finite element, a composite material in which a linear member is spirally wound around a ring-shaped member and embedded in a base material. A linear first line element that is a finite element is provided so as to correspond to the chord on the arc of the ring-shaped member, and a second twisted positional relationship with respect to the first line element is provided. A step of creating a unit model of a ring model provided with line elements, and arranging a plurality of the unit models along an arc, and smoothly connecting the second line elements of adjacent unit models to each other Thus, a step of creating a ring-shaped model in which a linear member model reproducing a linear member is spirally wound around a ring-shaped member model reproducing the ring-shaped member, and the linear member model spiraling Ring shape wrapped around Creating a base material model that surrounds the periphery of the Dell; and a cylindrical virtual side surface that is a predetermined distance away from the second line element of the ring-shaped model as a contact surface in contact with the base material model. And providing a constraint condition to the ring model so as not to cause a relative displacement with respect to the contact surface of the base material model. A method for creating a composite material model is provided.

  Furthermore, the present invention is a method for creating a composite material model that uses a finite element to reproduce a composite material in which a plurality of linear members are spirally wound around a ring-shaped member and embedded in a base material. A first shape having a cross-sectional shape of the ring-shaped member and a second shape in which one cross-sectional shape of the linear member is arranged in a predetermined direction with respect to the first shape. Forming a surface element on a first plane; rotating the second shape arranged in a predetermined direction with respect to the first shape around the first shape; and Forming a second surface element on the second plane in which the arrangement position of the second shape with respect to the shape of the first shape is changed, a perpendicular at the center position of the first shape on the first plane, and the An arc having the same vertical line at the center position of the second shape on the second plane By arranging the first plane and the second plane so that the second plane forms a predetermined angle with respect to the first plane, the first plane Creating a unit model of a ring-shaped model having both the first surface element on the upper surface and the second surface element on the second plane as both end faces; and the unit model on the circumference of the arc A ring-shaped member model that reproduces the ring-shaped member by smoothly connecting the first surface element and the second surface element of adjacent unit models to each other, Creating a ring-shaped model having one linear member model spirally wound around the ring-shaped member model; and placing the linear member model on the circumference around the ring-shaped member model Place multiple A step of creating a ring-shaped model in which a plurality of linear member models are wound around the ring-shaped member model; and a base material model so as to surround the ring-shaped model in which the plurality of linear member models are wound. And applying a constraint condition to the ring model so that a contact surface where the ring model contacts the base material model does not cause a relative displacement with respect to the contact surface of the base material model; A method for creating a composite material model is provided.

  Further, the present invention is a method for creating a composite material model that reproduces, using a finite element, a composite material in which a plurality of linear members are spirally wound around a ring-shaped member and embedded in a base material. A linear first line element that is a finite element is provided so as to correspond to the chord on the arc of the ring-shaped member, and a torsional positional relationship with respect to the first line element is provided. A step of creating a ring-shaped model unit model having two line elements, and arranging a plurality of the unit models along an arc, wherein the second line elements of adjacent unit models are mutually smooth By connecting to the ring-shaped member, a ring-shaped model having a linear ring-shaped member model corresponding to the ring-shaped member and a single linear member model spirally wound around the ring-shaped member model is created. Step and said linear part Creating a ring-shaped model in which a plurality of the linear member models are wound around the ring-shaped member model by arranging a plurality of models on the circumference around the ring-shaped member model; and Creating a base material model surrounding a ring model around which a plurality of member models are wound; and a cylindrical virtual side surface separated from the second line element of the ring model by a predetermined distance with the base material model And a step of giving a constraint condition to the ring model so that the contact surface does not cause relative displacement with respect to the contact surface of the base material model. Provides a method of creating.

In the method of creating the composite material model, when the linear member model is spirally wound around the ring-shaped member model, a periodic length along an arc of the ring-shaped member model is the ring-shaped member model. The circumference is preferably a length obtained by dividing the circumference by an integer.
In the ring model, a plurality of the linear member models are wound around the ring member model, and these linear member models form at least one or a plurality of loops, and the ring model A line at a point on the circumference of the ring-shaped member model starting from the arrangement position of one linear member model among the plurality of linear member models as a starting point along the arc of the ring-shaped member model from the position of the starting point It is preferable that the position of the end point of the shaped member model is different from the position of the start point. At that time, in the cross-section at one point on the circumference of the ring-shaped model, a plurality of linear member model cross-sections are arranged around the cross-section of the ring-shaped member model, and the position of the end point is the position of the start point It is preferable that it is the arrangement | positioning position of the linear member model adjacent with respect to. Further, the position of the end point is deviated in the forward direction or the reverse direction with respect to the rotation direction in which the linear member model is spirally wound around the ring-shaped member model, as viewed from the position of the start point. Preferably it is a position.

  In the present invention, by creating a unit model of a ring-shaped model and smoothly connecting the unit models, the composite material model can be efficiently created using finite elements.

  Hereinafter, a method for creating a composite material model of the present invention will be described in detail based on an embodiment shown in the accompanying drawings.

The method for creating a composite material model of the present invention is a method for creating a finite element model of a tire having a cable bead using a computer.
FIG. 1A is a schematic diagram of a cable bead 10 used as a bead member of a tire, and FIG. 1B is a diagram illustrating a state in which the cable bead 10 is embedded in a bead portion 16 of a tire.
The cable bead 10 has a structure in which a plurality of steel wire members 14 are arranged around a ring-shaped member 12 and are spirally wound, and a rubber member 18 serving as a base material of a bead portion is covered around the steel wire member 14.
Such a cable bead 10 is provided in a pair of bead portions 16 of the tire.

FIG. 2 is a schematic configuration diagram of a model creation device 20 that creates a finite element model of the cable bead 10.
The model creation apparatus 20 is configured by a computer and functions by providing the following parts by starting a program. That is, the model creation apparatus 20 includes a CPU 22 and a memory 24, and a ring-shaped model creation unit 26, a base material model creation unit 28, a constraint condition setting unit 30 and a model integration unit 32 are created by starting up the program.
An input operation system 34 and a display 36 are connected to the model creation device 20.

The ring-shaped model creation unit 26 is a part that creates a finite element model (ring-shaped model) having a structure in which a plurality of steel wire members 14 are arranged around the ring-shaped member 12 and wound spirally. A method for creating this model will be described later.
The base material model creation unit 28 is a part that creates a tire model including the base material model of the bead portion 16 of the tire that covers the created ring-shaped model.
The constraint condition setting unit 30 generates a constraint condition so that the contact surface where the created ring-shaped model is in contact with the base material model of the bead portion 16 does not cause relative displacement with respect to the contact surface of the base material model. It is.
The model integration unit 32 is a unit that integrates the created ring-shaped model and the base material model of the bead unit 16 and applies the generated constraint condition to the ring-shaped model in the integrated finite element model.
The finite element model integrated by the model integration unit 32 is analyzed using a finite element analysis solver (not shown) under the given constraint conditions.
The input operation system 34 is a keyboard, a mouse, or the like, which is used for an operator to input an operation according to an input display screen displayed on the display 36, and conditions for creating various models are set.
The display 36 is used to display an input display screen for input by the input operation system 34 and to display the shape of the created finite element model.

FIG. 3 is a flowchart showing a method of creating a finite element model by the model creation device 20.
The cable bead has a configuration in which a plurality of steel wire members 14 are arranged around a ring-shaped member 12 as shown in FIG.
First, the columnar model 40 is created. The columnar model 40 is arranged so as to be along the axial direction of the central axis of the first basic model and the first basic model having a columnar or polygonal shape constituted by the first columnar elements which are finite elements. And a second basic model having a cylindrical shape or a polygonal shape, which is configured by second columnar elements that are finite elements. By connecting a plurality of unit models in a line in the axial direction of the first basic model using the first basic model and the second basic model as unit models, the linear model extends linearly as shown in FIG. A columnar model 40 is created. (Step S100)
Here, the first columnar element is an element of a finite element model that reproduces the ring-shaped member 12, and is a solid element having a columnar shape with a bottom or a triangle. On the other hand, the second columnar element is an element of a finite element model that reproduces the steel wire member 14, and is a columnar solid element having a triangular or quadrangular bottom surface. A plurality of first columnar elements are gathered to create a first basic model having a cylindrical or polygonal shape. Similarly, a plurality of second columnar elements are gathered to create a cylindrical or polygonal second basic model.
The length of the columnar model 40 to be created is set to be the same as the circumference of the cable bead to be created. When the number of steel wire members 14 wound around the ring-shaped member 12 is nine, a linear member model that reproduces the nine steel wire members 14 is created even in the finite element model.

Next, one end of the created columnar model 40 (for example, the left end of the columnar model 40 in FIG. 4A) is fixed, and the other end (for example, the right end) is the central axis of the first basic model. As shown in FIG. 4B, the shape of the second basic model is deformed by giving a torsion angle about the axis of (2) and twisting (step S102).
The deformation of the shape in the second basic model is geometric deformation, and the position coordinates of each node of the deformed second shape element are obtained by calculating the deformation.
As will be described later, the torsion angle when twisting the other end of the columnar model 40 is such that the second basic model is smoothly connected to each other at both ends when the columnar model 40 is bent into an arc shape. The torsion angle is given as Smooth connection means that the boundary surfaces at both ends of the model are connected exactly.
Regarding the connection at both ends, as shown in FIG. 4C, when a model in which nine steel wires 14 are reproduced is created, for example, the end A is connected to the end B. Alternatively, it is connected to the end I. Alternatively, it may be connected to the ends C to H. Further, they may be connected to the same end A. When at least a torsion angle is given and both ends are connected, they are connected so as to form a loop.

Next, as shown in FIG. 4D, the columnar model 42 in which the second basic model is twisted is deformed into an arc shape, and one end of the columnar model 42 is coupled to the other end, Around the ring-shaped member model reproducing the ring-shaped member, a ring-shaped model 44 in which the linear member model reproducing the linear member is spirally wound is created (step S104). The arc-shaped deformation of the columnar model 42 is geometric deformation, and the position coordinates of the nodes of the deformed first shape element and second shape element are obtained by calculating the deformation. .
Specifically, the columnar model 42 is bent into an arc shape, and both ends are attached and coupled.
Since the columnar model 42 is provided with a predetermined torsion angle as described above, a plurality of lines that reproduce the steel wire member 14 formed by the second basic model when both ends are brought together. The ends of the member models are abutted and connected smoothly. The connection between both ends means, for example, that the nodes are edited so that the nodes on the surfaces of both ends to be attached share with each other. Alternatively, the nodes may not be edited to share the nodes, and the constraint condition may be given so that the displacements of the respective nodes become equal while leaving the nodes on both end faces.

Next, a tire model that is a base material model surrounding the created ring-shaped model 44 is created (step S106).
5A and 5B show an example of a tire model 46 that reproduces a tire. The bead portion 47 in FIG. 5B is a gap. A configuration in which a base material model surrounds the ring-shaped model 44 as shown in FIG. 6 by disposing a ring-shaped model 44 having both ends joined as shown in FIG. Tire model 48 is created.

Next, in order to couple the ring model 44 to the tire model 46, a constraint condition is created and set in the ring model 44 so as not to cause a relative displacement with respect to the contact surface of the tire model 46 (step S108). .
FIG. 7 is a flowchart showing a flow of coupling between the ring model 44 and the tire model 46.
First, the ring-shaped model 44 is arranged on the bead portion 47 of the tire model 46 of the tire model 46 (step S108A).
Next, a contact surface where the ring-shaped model 44 contacts the bead portion 47 of the tire model 46 is identified, and a node (boundary node) located on the contact surface is set (step S108B). The boundary surface of the finite element in the bead portion 47 in the tire model 46 has a rectangular shape.
FIG. 8 is a diagram illustrating the relationship between the contact surface and the nodes. The model 50 is a model in the vicinity of the contact surface where the tire model 46 contacts the ring model 44, and the model 52 is a model showing a part of the ring model 44.

FIG. 9 is a diagram for explaining a boundary surface between the model 52 that is a part of the ring-shaped model 44 and the model 50 that is a part of the tire model 46. As shown in FIGS. 8 and 9, the boundary node Q of the model 52 is located on the boundary surface of the model 50. Hereinafter, creation of constraint conditions and application of constraint conditions using the boundary nodes Q will be described.
First, a weighting coefficient w _i used for a constraint condition for coupling the model 52 to the model 50 is obtained (step S108C). Here, the weight coefficient w _i (i is a natural number) is obtained as follows.
As shown in FIG. 9, the transformation T used when calculating the weighting coefficient w _i is formed by finite element nodes 1, 2, 3, 4 on the boundary surface of the model 50 and line segments connecting these nodes. Trapezoids in the physical space (trapezoid height H, base length L ₁ , top side length L ₂ ) are converted into squares with a side length of 2 on the parametric space. 1, 2, 3 and 4 are mapped to the vertices of the square, each side of the trapezoid is mapped to each side of the square, and the inner area of the trapezoid is mapped to the inner area of the square. The square is converted into a trapezoid by the inverse transformation T- ¹ , the square inner area is mapped to the trapezoid inner area, each vertex of the square is mapped to each node of the trapezoid, and each side of the trapezoid is mapped to each side of the square. The That is, the transformation T maps the boundary surface having the trapezoidal shape of the finite element of the model 50 in the xy coordinate space (physical space) to the square in the RS coordinate space (parametric space) on a one-to-one basis.
Therefore, for each finite element having the boundary surface of the model 50, the corresponding point on the square can be obtained by the transformation T with respect to the boundary node Q of the model 52 located on the boundary surface of the finite element. When the boundary surface is rectangular, of course, length L ₁ = length L ₂ is set.
More specifically, the shape functions N ₁ (r, s), N ₂ (r, s), N ₃ (r, s), and N ₄ (r, s) shown in FIGS. The position coordinates (x, y) in the xy coordinate space can be associated with the position coordinates (r, s) using the following formula (1). Here, x ₁ , y ₁ , x ₂ , y ₂ , x ₃ , y ₃ , x ₄ , y ₄ are the position coordinates of the nodes 1, 2, 3, 4 on the boundary surface of the finite element of the model 50, respectively. It is.

Here, the shape functions N ₁ (r, s), N ₂ (r, s), N ₃ (r, s), and N ₄ (r, s) are defined in FIGS. Function. Here, when the matrix in the equation (1) is M, the components of the matrix M are the weighting factors w _{i at the} nodes described above. Specifically, the weighting factor w ₁ for the node 1 of the boundary node Q (position coordinates (x ₀ , y ₀ )) in FIG. 9 is the position coordinate of the corresponding point in the RS space coordinate of the boundary node Q. (R ₀ , s ₀ ) is N ₁ (r ₀ , s ₀ ). In this way, the weighting coefficient w _i is expressed by the following equation (2), where (r ₀ , s ₀ ) is the position coordinate of the corresponding point in the RS space coordinate of the boundary node Q.

On the other hand, r ₀ and s ₀ in the formula (2) are expressed by the following formula (3) using the trapezoidal height H, the base length L ₁ , and the top length L ₂ shown in FIG. . Thus, the weighting coefficient w is obtained from the trapezoidal height H of the trapezoidal shape of the boundary surface of the finite element, the length L _{1 of the} bottom side, the length L _{2 of the} top side, and the position coordinates (x ₀ , y ₀ ) of the boundary node Q. _i can be obtained.

Next, the physical quantity acting on the boundary node of the model 52 is expressed by using the physical quantity of the node of the finite element and the weighting coefficient w _{i on} the boundary surface of the model 50 where the boundary node is located. That is, a constraint equation as shown in the following equation (4) is created as a constraint condition (step S108D).

Here, u ₀ is a physical quantity representing acceleration, displacement, temperature, etc. at the boundary node Q of the tread model 12, and u _i (i = 1, 2, 3, 4) is on the boundary surface of the case body model 14. It is a physical quantity that represents the acceleration, displacement, temperature, etc. of a node of a finite element. Of course, u ₀ and u _i may be one-dimensional physical quantities or multi-dimensional physical quantities such as two-dimensional and three-dimensional. Information on the polynomial defined by the weight coefficient w _i thus obtained is stored and stored in the memory. By storing and saving, it can be called and used when used for simulation such as dynamic analysis and static analysis as described later.
In this way, the physical quantity acting on the boundary node Q of the model 52 is represented by the physical quantity of the node of the finite element of the model 50 having the boundary surface where the boundary node Q is located, thereby restricting the behavior of the finite element of the model 52. be able to.

The constraint condition created in this way is given to the ring model 44 of the tire model 46, and the ring model and the tire model are combined (step S108E).
The above is the creation and setting of the constraint conditions performed in step S108 in FIG.
Thereafter, a material constant is given to each finite element of the tire model 48 to which the created ring-shaped model 44 is coupled, and a finite element analysis is possible. The tire model 46 to which the material constant is given Load conditions are added and finite element analysis is performed.

Thus, in this embodiment, the tire model 46 which combined the ring-shaped model 44 which reproduced the cable bead 10 is produced efficiently.
In the present invention, in addition to the above-described embodiment, a tire model 46 in which the ring-shaped model 44 is combined by steps S200 to S208 shown in FIG. 11 can be created. Step S200 in FIG. 11 corresponds to step S100 shown in FIG. 3, step S202 corresponds to step S104 shown in FIG. 3, step S204 corresponds to step S102 shown in FIG. 3, and step S206. Corresponds to step S106, and step S208 corresponds to step S108. That is, the method shown in FIG. 11 performs torsional deformation after deforming the columnar model 40 into an arc shape, and only the order of step S102 and step S104 in FIG. 3 is changed. Therefore, the description is omitted.

Furthermore, in the present invention, a tire model in which a cable bead is embedded can be created according to the flowchart shown in FIG. FIGS. 13A to 13C are explanatory diagrams for explaining the flow.
First, as shown in FIG. 13 (a), a first shape (circular shape) having a cross-sectional shape of the ring-shaped member 12 and each direction divided into nine equal parts on the circumference with respect to the first shape. First surface elements 53 having nine second shapes (circular shapes A to I) in which the cross-sectional shape of the steel wire 14 is arranged are formed on the first plane 54 (step S300).

Next, the second shape (circular shapes A to I) arranged in a direction equally divided into nine portions on the circumference with respect to the first shape is rotated around the first shape by a predetermined angle, and the first shape A second surface element 55 in which the position of the second shape relative to the second shape is changed is formed on the second plane 56 (step S302).
Next, as shown in FIG. 13C, the perpendicular line at the center position of the first shape on the first plane 54 and the perpendicular line at the center position of the first shape on the second plane 56 are arc R. By arranging the first plane 54 and the second plane 56 so that the second plane 56 forms a predetermined angle φ with respect to the first plane 54 and the first plane 54, the first plane 54 A unit model of a ring-shaped model is created that reproduces the first surface element 53 on the plane 54 and the second surface element 55 on the second plane 56 as both end faces (step S304).

FIG. 14 shows an example of a unit model 60 of a ring model.
When creating a unit model, the number of the node that defines the shape and the position coordinates of this node are stored and saved, and the node number is grouped and stored for each finite element (solid element) to which the element number is assigned. Since the unit model is stored, the unit model is defined by the node number and the element number.
Next, a plurality of the created unit models 60 as shown in FIG. 14 are arranged along the arc, and at this time, the first surface element 53 and the second surface element 55 of the adjacent unit models are smoothed together. As shown in FIG. 15, the ring model 44 that reproduces the cable bead is created (step S306).

  Next, a tire model 46 which is a base material model is created, and a ring-shaped model 44 is arranged on a bead portion 47 of the tire model 46. Further, a constraint condition is created in the same manner as in step 108 in FIG. 3 and is given to the ring model 44 of the tire model 46 so that the ring model 44 is coupled to the tire model 46 (steps S308 and S310). The processing in step S308 and step S310 is the same as the processing in step S106 and step S108 shown in FIG.

Furthermore, in the present invention, a tire model in which cable beads are combined can be created according to the flowchart shown in FIG. FIGS. 17A to 17C are explanatory diagrams for explaining the flow of this creation method.
First, as shown in FIG. 17A, a first shape (circular shape) having a cross-sectional shape of the ring-shaped member 12 and a steel wire 14 in a predetermined direction on the circumference with respect to the first shape. The first surface element 70 having the second shape (circular shape A) in which the cross-sectional shapes are arranged is formed on the first plane 72 (step S400). Further, a second shape (circular shape A) arranged at an arrangement position inclined by θ with respect to the predetermined direction with respect to the first shape is formed on the second plane 76 as the second surface element 74. (Step S402).

Next, as shown in FIG. 13C, the perpendicular at the center position of the first shape on the first plane 72 and the perpendicular at the center position of the first shape on the second plane 76 are the same. By arranging the first plane 72 and the second plane 76 such that the second plane 76 forms a predetermined angle with respect to the first plane 72, the first plane 72 and the second plane 76 are arranged on the arc. A unit model of a ring-shaped model having both the first surface element 70 on the plane 72 and the second surface element 74 on the second plane 76 as both end faces is created (step S404).
Next, a plurality of the created unit models are arranged along the arc, and at that time, as shown in FIG. 17C, the first surface element 70 and the second surface element 74 of the adjacent unit models are arranged. By connecting them smoothly, a finite element model as shown in FIG. 18 in which the linear member model 80 is spirally wound around the ring-shaped member model 78 is created (step S406).

Using this linear member model 80, a plurality of linear member models around the ring-shaped member model 78 are created by creating a linear member model in which the arrangement position of the linear member model 80 is shifted on the circumference of the ring-shaped member model 78. A ring-shaped model 44 as shown in FIG. 15 in which the linear member model 80 is spirally wound is created (step S408).
Next, a base material model is created (step S410), and constraint conditions are created and set (step S412). In addition, since the process of step S410 and step S412 is the same as the process of step S308 and step S310, the description is abbreviate | omitted.

The ring-shaped model 44 can be created according to the various flows described above.
In the cable bead model created by the various flows described above, the arc of the ring-shaped member model 80 when the linear member model 82 spirally winds around the ring-shaped member model 80 as shown in FIG. Is defined as a torsion period, the length of the torsion period is preferably a length obtained by dividing the circumferential length of the ring-shaped member model 80 by an integer. In FIG. 18, it is shown that the linear member model 82 spirals around the ring-shaped member 80 with a length of half the circumference of the ring-shaped member model 80. In this way, when the linear member model 82 spirals around the ring-shaped member model 80 one time, the torsion period T is defined as a twist period T, and the ring radius of the ring-shaped member 80 is defined as a radius R. 2πR / N (N is a positive integer) is preferable. That is, it is preferable that the linear member model 82 is configured to return to the original position of the ring-shaped member 80 when the ring-shaped member 80 makes one round.

  Alternatively, as shown in FIG. 15, a plurality of linear member models are wound around the ring member model, and these linear member models may form at least one or a plurality of loops. That is, in one cross-section on the circumference of the ring-shaped member model, the arrangement position of one linear member model among the plurality of linear member models is used as a starting point, and 1 along the arc of the ring-shaped member model from the position of the starting point. Spiral winding of the linear member model may be configured such that the position of the end point of the linear member model when it circulates is different from the position of the starting point. In this case, for example, the cross-sections of the plurality of linear member models 82 are arranged around the cross-section of the ring-shaped member model, and the end point position in the linear member model is a line adjacent to the start point position. It is good to shift to the arrangement position of the member model. Note that the position of the end point is a position deviated in the forward direction or the reverse direction with respect to the rotation direction in which the linear member model is spirally wound around the ring-shaped member model 80 as viewed from the position of the start point. .

For example, in the example shown in FIG. 19A, No. 1 among the linear member models 82 at one end (starting point) of one cross section. No. 1 linear member model 82 (gray portion) is No. 1 at the other end (end point). 2 is connected to the linear member model 82 (gray portion). No. 2 linear member model 82 is No. 2 at the other end (end point). 3 to the linear member model 82. No. 9 of the linear member model 82 is No. at the other end (end point). Each is connected to one linear member model 82 and formed in a loop shape. In this way, the linear member model 82 is connected to the linear member model adjacent in the opposite direction to the twisting direction.
In the example shown in FIG. No. 1 linear member model 82 (gray portion) is No. 1 at the other end (end point). No. 9 linear member model 82 (gray part). No. 9 of the linear member model 82 is No. at the other end (end point). No. 8 linear member model 82. No. 2 linear member model 82 is No. 2 at the other end (end point). Each is connected to one linear member model 82 and formed in a loop shape. In this way, the linear member model 82 is connected to the linear member model adjacent in the forward direction with respect to the twisting direction.
Thus, the form of the loop of the linear member model 82 is not particularly limited.

In each of the above embodiments, a finite element model using solid elements is used. However, in the present invention, a three-dimensional beam element or a trust element which is a line element can be used instead of the solid element. 20A to 20F are diagrams showing examples of models when line elements are used.
For example, a linear model 90 is created instead of the columnar model 40 shown in FIG. 4A created in the flowchart shown in FIG. 3, and processing is performed along steps S100 to S108 in FIG.
First, a linear model 90 composed of line elements as shown in FIG. Next, the linear model 90 is twisted on the circumference around the central axis of the linear model 90 to create a torsionally deformed linear model 92 as shown in FIG. To do. Thereafter, the linear model 92 is bent into an arc shape and both ends are joined, whereby a ring-shaped model 94 composed of line elements can be created.

More specifically, the linear model 90 is separated from the first line element, which is a finite element, by a certain distance from the first line element that is in a positional relationship parallel to the first line element. Nine second line elements, which are finite elements, are arranged, and a plurality of unit models are connected in a row in the arrangement direction of the linear model 90 using the first line elements and the second line elements as unit models. By creating.
Next, one end of the created linear model 90 is fixed, and the other end is twisted by giving a twist angle around the first line element while maintaining the above-mentioned constant distance. Thus, as shown in FIG. 20B, the shape of the second line element is deformed.
Next, the linear model 90 in which the second line element is deformed is deformed into an arc shape, and one end of the linear model 90 is coupled to the other end to reproduce the ring-shaped member. A ring-shaped model 94 (see zu20 (c)) in which a linear member model reproducing a linear member is spirally wound around is created.
Thereafter, a base material model that is a tire model surrounding the created ring-shaped model 94 is created. At that time, a cylindrical virtual side surface that is a predetermined distance away from the second line element of the ring-shaped model 94 is used as a contact surface in contact with the base material model, and this contact surface has a relative displacement with respect to the contact surface of the base material model. A constraint condition is given so that it does not occur.

Also, a linear model 90 is created instead of the columnar model shown in FIG. 4A created in the flowchart shown in FIG. 11, and processing is performed along steps S200 to 208 in FIG. 11 using this linear model 90. Can also be done.
First, a linear model 90 composed of line elements as shown in FIG. Next, the linear model 90 is deformed into a ring shape as shown in FIG. After that, twisting is performed on the circumference around the central axis of the linear model 90 deformed into a ring shape, and both ends of the linear model 90 are coupled, thereby twisting as shown in FIG. A ring-shaped model 94 composed of deformed line elements can be created.

More specifically, the linear model 90 includes a first line element that is a finite element and a finite element that is arranged at a certain distance from the first line element along the arrangement direction of the first line element. And a second line element that is an element. The linear model 90 is created by connecting a plurality of unit models in a line in the arrangement direction of the linear model 90 using the first line element and the second line element as unit models.
Next, a ring model is created by deforming the linear model 90 into an arc shape.
Next, by fixing one end of the ring-shaped model and twisting the other end with a twist angle around the first line element while maintaining a constant distance, The shape of the line element is deformed, and one end and the other end of the ring model are combined to create a ring model 94.
Next, a base material model that is a tire model is created so as to surround the ring-shaped model 94. At that time, a cylindrical virtual side surface that is a predetermined distance away from the second line element of the ring-shaped model 94 is used as a contact surface in contact with the base material model, and this contact surface has a relative displacement with respect to the contact surface of the base material model. A constraint condition is given to the ring-shaped model 94 so that it does not occur.

Further, instead of the unit model 60 shown in FIG. 14 created in the flowchart shown in FIG. 12, a unit model 96 composed of line elements shown in FIG. A ring-shaped model 94 composed of line elements as shown in f) can be created.
When the unit model 96 composed of the line elements shown in FIG. 20E is created, points representing the cross-sectional shape of the line elements are determined instead of the circular shapes A to I shown in FIGS.

Specifically, instead of the circular shapes A to I shown in FIGS. 13A to 13C, both ends are represented by points representing the cross-sectional shape of the line element, and by connecting the both ends, a ring-shaped member is obtained. Of a ring-shaped model provided with a linear first line element and a second line element in a torsional positional relationship with respect to the first line element so as to correspond to the chord on the arc of A unit model 96 is created. Next, a plurality of unit models are arranged along the arc, and the second line elements of the adjacent unit models 96 are smoothly connected to each other so that the ring-shaped member model that reproduces the ring-shaped member is obtained. A ring-shaped model 94 is created around which a linear member model that reproduces the linear member is spirally wound.
Next, a base material model that is a tire model surrounding the ring-shaped model 94 is created. At this time, a cylindrical side surface that is a predetermined distance away from the second line element of the ring-shaped model 94 is used as a contact surface in contact with the base material model, and this contact surface has a relative displacement with respect to the contact surface of the base material model. A constraint condition is given to the ring-shaped model 94 so that it does not occur.

  Further, instead of the one linear member model 82 (step S406) created in the flowchart shown in FIG. 16, a spiral linear member model composed of line elements is created, and a plurality of linear members are used by using this. By arranging the models, a ring-shaped model 94 composed of line elements as shown in FIG. 20 (f) can be created.

Specifically, first, instead of the circular shapes A to I shown in FIGS. 13A to 13C, both ends are represented by points representing the cross-sectional shape of the line element, and correspond to the chords on the arc of the ring-shaped member. A ring-shaped model unit model in which a linear first line element is provided and a second line element in a torsional positional relationship is provided with respect to the first line element. create. Next, a plurality of unit models are arranged along an arc, and the second line elements of adjacent unit models are smoothly connected to each other so that a linear ring-shaped member corresponding to the ring-shaped member is obtained. A ring-shaped model having a model and one linear member model spirally wound around the ring-shaped member model is created. Next, by arranging a plurality of the created linear member models around the ring-shaped member model on the circumference, a ring-shaped model 94 in which a plurality of linear member models are wound around the ring-shaped member model. Create A base material model which is a tire model surrounding the ring-shaped model 94 is created. Next, a virtual cylindrical side surface that is a predetermined distance away from the second line element of the ring-shaped model 94 is used as a contact surface that is in contact with the base material model, and this contact surface has a relative displacement with respect to the contact surface of the base material model. A constraint condition is given to the ring-shaped model 94 so that it does not occur.
In this manner, a tire model can be created by embedding a ring-shaped model in which a cable bead is reproduced in a bead portion of the tire model using various methods.

Also in the ring-shaped model composed of such line elements, the twist period T is preferably 2πR / N (N is a positive integer).
Alternatively, a plurality of linear member models are wound around the ring-shaped member model, and these linear member models form at least one or a plurality of loops. In one cross-section on the circumference of the ring-shaped member model, the arrangement position of one linear member model among the plurality of linear member models is taken as a starting point, and one round is taken along the arc of the ring-shaped member model 80 from the position of this starting point. In this case, the position of the end point of the linear member model 82 may be different from the position of the start point. At this time, for example, the cross sections of the plurality of linear member models 82 are arranged around the cross section of the ring-shaped member model, and the position of the end point in the linear member model 82 is adjacent to the position of the start point. Shift to the arrangement position of the linear member model. Note that the position of the end point is a position deviated in the forward direction or the reverse direction with respect to the rotation direction in which the linear member model 82 is spirally wound around the ring-shaped member model 80 as viewed from the position of the start point. is there.
Thus, the finite element model of the cable bead can be efficiently created by various methods.

  As mentioned above, although the preparation method of the composite material model of this invention was demonstrated in detail, this invention is not limited to the said embodiment, In the range which does not deviate from the main point of this invention, you may make various improvement and a change. Of course.

(A) is the schematic of the cable bead used as a bead member of a tire, (b) is a figure which shows the state which embed | buried the cable bead in the bead part of the tire. It is a schematic block diagram of the model creation apparatus which implements the creation method of the finite element model of the cable bead which is one Example of the creation method of the composite material model of this invention. It is a flowchart which shows the preparation method of the finite element model of the cable bead which is an example of the preparation method of the composite material model of this invention. (A)-(d) is a figure explaining the model produced in the production method shown in FIG. (A) And (b) shows the example of the tire model produced, FIG.5 (c) is a figure which shows the example of the ring-shaped model which is a finite element model of the cable bead produced in this invention. . It is a figure which shows the model which integrated the ring-shaped model created by this invention in the tire model. It is a flowchart which shows the flow of the coupling | bonding method when couple | bonding the ring-shaped model created by this invention with the bead part of the tire model. It is a figure explaining the coupling | bonding method shown in FIG. It is a figure explaining the coupling | bonding method shown in FIG. (A)-(d) is a figure explaining the shape function used in the coupling | bonding method shown in FIG. It is a flowchart which shows another example in the preparation method of the composite material model of this invention. It is a flowchart which shows another example in the preparation method of the composite material model of this invention. (A)-(c) is explanatory drawing explaining the preparation method shown in FIG. It is a figure which shows an example of the unit model produced in the preparation method of the composite material model of this invention. It is a figure which shows an example of the ring-shaped model produced in the preparation method of the composite material model of this invention. It is a flowchart which shows another example in the preparation method of the composite material model of this invention. (A)-(c) is explanatory drawing explaining the preparation method shown in FIG. It is explanatory drawing explaining the ring-shaped model produced in the preparation method of the composite material model of this invention. (A) And (b) is explanatory drawing explaining the ring-shaped model produced in the preparation method of the composite material model of this invention. It is explanatory drawing explaining the ring-shaped model produced using another example in the preparation method of the composite material model of this invention.

Explanation of symbols

DESCRIPTION OF SYMBOLS 10 Cable bead 12 Ring-shaped member 14 Steel wire member 16 Bead part 16
18 Rubber member 20 Model creation device 22 CPU
24 memory 26 ring model creation unit 28 base material model creation unit 30 constraint condition setting unit 32 model integration unit 34 input operation system 36 display 40, 42 columnar model 44 ring model 46, 48 tire model 47 bead unit 50, 52 model

Claims (12)

A method of creating a composite material model that uses a finite element to reproduce a composite material in which a linear member is spirally wound around a ring-shaped member and embedded in a base material.
A first basic model composed of a first columnar element which is a finite element and a second model composed of a second columnar element which is a finite element arranged along the axial direction of the first columnar element A columnar model that extends linearly is created by connecting a plurality of unit models in a line in the axial direction using the first basic model and the second basic model as unit models. And steps to
The shape of the second basic model is deformed by fixing one end of the columnar model and twisting the other end with a twist angle around the axis of the first columnar element. Step to
Around the ring-shaped member model that reproduces the ring-shaped member by deforming the columnar model in which the second basic model is deformed into an arc shape, connecting one end of the columnar model to the other end, Creating a ring model that reproduces a ring model in which a linear member model that reproduces a linear member is spirally wound; and
Creating a base material model surrounding the created ring model;
Applying a constraint condition to the ring model so that a contact surface of the ring model contacting the base material model does not cause a relative displacement with respect to a contact surface of the base material model. How to create a composite material model. A method of creating a composite material model that uses a finite element to reproduce a composite material in which a linear member is spirally wound around a ring-shaped member and embedded in a base material.
A first line element, which is a finite element, and a second line element, which is in a positional relationship parallel to the first line element and is a finite element arranged at a certain distance from the first line element And creating a linear model extending linearly by connecting a plurality of unit models in a row in the arrangement direction using the first line elements and the second line elements as unit models. When,
By fixing one end of the created linear model and twisting the other end with a twist angle around the first line element while maintaining the constant distance, Deforming the shape of the second line element;
A ring-shaped member model that reproduces a ring-shaped member by deforming the linear model in which the second line element is deformed into an arc shape, connecting one end of the linear model to the other end, and Creating a ring model having a linear member model reproducing the linear member;
Creating a base material model surrounding the created ring model;
A cylindrical virtual side surface that is a predetermined distance away from the second line element of the ring-shaped model is used as a contact surface in contact with the base material model, and the contact surface has a relative displacement with respect to the contact surface of the base material model. Applying a constraint condition to the ring model so as not to cause it to occur. A method of creating a composite material model that uses a finite element to reproduce a composite material in which a linear member is spirally wound around a ring-shaped member and embedded in a base material.
A first basic model composed of a first columnar element which is a finite element and a second model composed of a second columnar element which is a finite element arranged along the axial direction of the first columnar element A columnar model that extends linearly is created by connecting a plurality of unit models in a line in the axial direction using the first basic model and the second basic model as unit models. And steps to
Deforming the columnar model into an arc shape to create a ring-shaped model;
By fixing one end of the ring-shaped model deformed into an arc shape and twisting the other end with a twist angle around the center axis of the first basic model, the second model The shape of the basic model is deformed, the one end and the other end are joined, and the linear member model reproducing the linear member is spiral around the ring-shaped member model reproducing the ring-shaped member Creating a ring-shaped model wrapped around
Creating a matrix model surrounding the ring-shaped model around which the linear member model is wound;
Applying a constraint condition to the ring model so that a contact surface of the ring model contacting the base material model does not cause a relative displacement with respect to a contact surface of the base material model. How to create a composite material model. A method of creating a composite material model that uses a finite element to reproduce a composite material in which a linear member is spirally wound around a ring-shaped member and embedded in a base material.
A first line element, which is a finite element, and a second line element, which is in a positional relationship parallel to the first line element and is a finite element arranged at a certain distance from the first line element And creating a linear model extending linearly by connecting a plurality of unit models in a row in the arrangement direction using the first line elements and the second line elements as unit models. When,
Deforming the linear model into an arc shape, creating a ring-shaped model having a ring-shaped member model reproducing the ring-shaped member, and a linear member model reproducing the linear member;
By fixing one end of the ring-shaped model and twisting the other end with a twist angle around the first line element while maintaining the constant distance, A linear member model that reproduces a linear member around a linear ring-shaped member model that deforms the shape of the two line elements and combines the one end and the other end to reproduce the ring-shaped member Creating a ring-shaped model with a spiral wound,
Creating a matrix model surrounding a ring-shaped model in which a linear member model is spirally wound;
A cylindrical virtual side surface that is a predetermined distance away from the second line element of the ring-shaped model is used as a contact surface in contact with the base material model, and the contact surface has a relative displacement with respect to the contact surface of the base material model. Applying a constraint condition to the ring model so as not to cause it to occur. A method of creating a composite material model that uses a finite element to reproduce a composite material in which a linear member is spirally wound around a ring-shaped member and embedded in a base material.
A first surface element having a first shape having a cross-sectional shape of the ring-shaped member and a second shape in which the cross-sectional shape of the linear member is arranged in a predetermined direction with respect to the first shape. Forming on a first plane;
The second shape arranged in a predetermined direction with respect to the first shape is rotated around the first shape to change the arrangement position of the second shape with respect to the first shape. Forming a second surface element on a second plane;
The perpendicular line at the center position of the first shape on the first plane and the perpendicular line at the center position of the second shape on the second plane are tangents on the same arc, and the first shape By arranging the first plane and the second plane so that the second plane forms a predetermined angle with respect to the plane, the first surface element on the first plane and Creating a unit model of a ring model with both end faces of the second surface element on the second plane;
A plurality of the unit models are arranged along the circumference of the arc, and at this time, the first surface element and the second surface element of the adjacent unit models are smoothly connected to each other, whereby a ring-shaped member is formed. Creating a ring-shaped model in which a linear member model reproducing a linear member is spirally wound around the reproduced ring-shaped member model;
Creating a matrix model surrounding a ring-shaped model in which a linear member model is spirally wound;
Applying a constraint condition to the ring model so that a contact surface of the ring model contacting the base material model does not cause a relative displacement with respect to a contact surface of the base material model. How to create a composite material model. A method of creating a composite material model that uses a finite element to reproduce a composite material in which a linear member is spirally wound around a ring-shaped member and embedded in a base material.
A linear first line element, which is a finite element, is provided so as to correspond to the chord on the arc of the ring-shaped member, and a second twisted positional relationship with respect to the first line element is provided. Creating a unit model of a ring model with line elements of
A plurality of the unit models are arranged along an arc, and the second line elements of adjacent unit models are smoothly connected to each other around the ring-shaped member model that reproduces the ring-shaped member. A step of creating a ring-shaped model in which a linear member model reproducing a linear member is spirally wound;
Creating a matrix model surrounding a ring-shaped model in which a linear member model is spirally wound;
A cylindrical virtual side surface that is a predetermined distance away from the second line element of the ring-shaped model is used as a contact surface in contact with the base material model, and the contact surface has a relative displacement with respect to the contact surface of the base material model. Applying a constraint condition to the ring model so as not to cause it to occur. A method of creating a composite material model that reproduces a composite material in which a plurality of linear members are spirally wound around a ring-shaped member and embedded in a base material using a finite element,
A first surface having a first shape having a cross-sectional shape of the ring-shaped member and a second shape in which one cross-sectional shape of the linear member is arranged in a predetermined direction with respect to the first shape. Forming an element on a first plane;
The second shape arranged in a predetermined direction with respect to the first shape is rotated around the first shape to change the arrangement position of the second shape with respect to the first shape. Forming a second surface element on a second plane;
The perpendicular line at the center position of the first shape on the first plane and the perpendicular line at the center position of the second shape on the second plane are tangents on the same arc, and the first shape By arranging the first plane and the second plane so that the second plane forms a predetermined angle with respect to the plane, the first surface element on the first plane and Creating a unit model of a ring model with both end faces of the second surface element on the second plane;
A plurality of the unit models are arranged along the circumference of the arc, and at this time, the ring-shaped member is formed by smoothly connecting the first surface element and the second surface element of adjacent unit models to each other. Creating a ring-shaped model having a ring-shaped member model that reproduces and one linear member model spirally wound around the ring-shaped member model;
Creating a ring-shaped model in which a plurality of linear member models are wound around the ring-shaped member model by arranging a plurality of the linear member models around the ring-shaped member model; and
Creating a base material model so as to surround the ring-shaped model around which the linear member model is wound;
Applying a constraint condition to the ring model so that the contact surface of the ring model contacting the base material model does not cause a relative displacement with respect to the contact surface of the base material model. How to create a composite material model. A method of creating a composite material model that reproduces a composite material in which a plurality of linear members are spirally wound around a ring-shaped member and embedded in a base material using a finite element,
A linear first line element, which is a finite element, is provided so as to correspond to the chord on the arc of the ring-shaped member, and a second twisted positional relationship with respect to the first line element is provided. Creating a unit model of a ring model with line elements of
A plurality of the unit models are arranged along an arc, and the second line elements of adjacent unit models are smoothly connected to each other so that a linear ring member model corresponding to the ring member is obtained. And creating a ring model having one linear member model spirally wound around the ring member model;
Creating a ring-shaped model in which a plurality of the linear member models are wound around the ring-shaped member model by arranging a plurality of the linear member models on the circumference around the ring-shaped member model; ,
Creating a matrix model surrounding a ring-shaped model around which the linear member model is wound; and
A cylindrical virtual side surface that is a predetermined distance away from the second line element of the ring-shaped model is used as a contact surface in contact with the base material model, and the contact surface has a relative displacement with respect to the contact surface of the base material model. Applying a constraint condition to the ring model so as not to cause it to occur.   The period length along the arc of the ring-shaped member model when the linear member model is spirally wound around the ring-shaped member model is a length obtained by dividing the circumference of the ring-shaped member model by an integer. The method for creating a composite material model according to any one of claims 1 to 8. In the ring-shaped model, a plurality of the linear member models are wound around the ring-shaped member model, and these linear member models form at least one or a plurality of loops,
At one point on the circumference of the ring-shaped model, the arrangement position of one linear member model among the plurality of linear member models is taken as a starting point, and one round along the arc of the ring-shaped member model from the position of the starting point. The method of creating a composite material model according to any one of claims 1 to 8, wherein a position of an end point of the linear member model when the position is changed is different from a position of the start point. In the cross-section at one point on the circumference of the ring-shaped model, a plurality of cross-sections of the linear member models are arranged around the cross-section of the ring-shaped member model
The method of creating a composite material model according to claim 10, wherein the position of the end point is an arrangement position of a linear member model adjacent to the position of the start point.   The position of the end point is a position deviated in the forward direction or the reverse direction with respect to the rotation direction in which the linear member model is wound spirally around the ring-shaped member model, as viewed from the position of the start point. The method for creating a composite material model according to claim 11.

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