WO2004102428A1 - ワイヤー様構造物におけるねじれ角計算方法、その装置及びそのプログラム - Google Patents
ワイヤー様構造物におけるねじれ角計算方法、その装置及びそのプログラム Download PDFInfo
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- WO2004102428A1 WO2004102428A1 PCT/JP2004/006892 JP2004006892W WO2004102428A1 WO 2004102428 A1 WO2004102428 A1 WO 2004102428A1 JP 2004006892 W JP2004006892 W JP 2004006892W WO 2004102428 A1 WO2004102428 A1 WO 2004102428A1
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- wire
- clamp
- sub
- axis
- shape model
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Classifications
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B60—VEHICLES IN GENERAL
- B60R—VEHICLES, VEHICLE FITTINGS, OR VEHICLE PARTS, NOT OTHERWISE PROVIDED FOR
- B60R16/00—Electric or fluid circuits specially adapted for vehicles and not otherwise provided for; Arrangement of elements of electric or fluid circuits specially adapted for vehicles and not otherwise provided for
- B60R16/02—Electric or fluid circuits specially adapted for vehicles and not otherwise provided for; Arrangement of elements of electric or fluid circuits specially adapted for vehicles and not otherwise provided for electric constitutive elements
- B60R16/0207—Wire harnesses
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
- G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2113/00—Details relating to the application field
- G06F2113/16—Cables, cable trees or wire harnesses
Definitions
- the present invention occurs when a wire-like structure including a main wire, a sub-wire branched from the main wire, and / or a clamp attached to the main wire is deformed into a predetermined shape.
- the present invention relates to a method, an apparatus, and a program for calculating a torsion angle of a wire and / or a clamp using a computer.
- a wide variety of electrical components have been mounted on vehicles and the like, and these include a plurality of electric wires and communication lines that are bundled by a binding member such as an insulok and a protective member such as a tape. They are connected by a wire-like structure called a harness.
- a wire harness is designed so as to be routed in a predetermined three-dimensional space, and is manufactured by being developed two-dimensionally on a jig plate.
- FIGS. 1A and 1B are diagrams showing the shape of the wire harness at the time of design and at the time of manufacture, respectively.
- a wire harness generally has a plurality of branch lines 1b1 to 1b4 branching in different directions from a main line 1a, or has an end portion or an intermediate portion.
- Clamps 2a to 2g are attached to points (connectors may be attached to the end of grommet ⁇ instead of clamps), for example, in a predetermined three-dimensional space such as a vehicle door or floor. Designed to be.
- the wire harness designed assuming a three-dimensional space is manufactured by developing it on a two-dimensional jig plate. In the, the branch lines 1b1-1b4 and the clamps 2a-2g, which diverge in different directions, would cause the main line 1a to twist. This will be described with reference to FIG.
- FIGS. 2 (A) and 2 (B) show the wiring harness of the present invention. It is a figure for explaining a twist angle.
- Fig. 2 (A) when the trunk line 1a of a wire harness designed in a three-dimensional space is stretched straight without twist, for example, a branch line 1b1 and a branch line 1b1 When viewed from the front, the line 1b2 branches in different directions at an angle ⁇ , as shown in FIG. 2 (B).
- two clamps not shown here may branch in different directions at an angle ⁇ ⁇ , as shown in Fig. 2 (B).
- a clamp as shown in Fig. 2 (A) and Fig.
- the angle ⁇ is defined by the point of action pi, p2 of the two clamps and the central axis of the trunk line 1a.
- the branch line and the clamp may form an angle ⁇ ⁇ as well.
- the trunk line, branch lines, and clamps that make up the wire harness are basically deployed on a jig plate that is a two-dimensional plane. Then, at the time of manufacturing the wire harness, for example, if the main line 1a and the branch line 1b1 are aligned along the jig plate and the base line 1a and the branch line 1b1 are used as a reference, the branch line 1b2 is only a part corresponding to the above angle ⁇ . You will be twisted. Such an angle 0 is referred to as the above-mentioned torsion angle in the present specification.
- the trunk line is thicker than the branch line, but these may be the same thickness or may be opposite. .
- main line and the branch line may be called different names, for example, a main wire and a sub-wire (branch wire).
- clamp refers to a support member of a wire harness including a connector, a clip, and the like.
- the present invention makes it possible to easily and accurately calculate the torsion angle in a wire harness, and is effective in designing an appropriate jig plate, efficiently manufacturing a wire harness, and the like. It is an object of the present invention to provide a torsion angle calculation method, a device therefor, and a program therefor.
- the torsion angle calculation method according to claim 1, which is made to solve the above problem, includes a main wire bundle, a sub wire bundle branched from the main wire bundle, and a clamp attached to the main wire bundle.
- a method of calculating the torsion angle of the sub-wire bundle and / or the clamp generated when the wire-like structure to be deformed is deformed from a predetermined reference shape to a deformed shape different from the shape using a computer.
- the main wire bundle of the wire-like structure is expressed as a combination of a plurality of beam elements so as to correspond to the deformed shape.
- a deformed shape model creator that creates a deformed shape model to which a clamp axis corresponding to the rotation axis of the clamp and a virtual clamp axis corresponding to the branching direction of the auxiliary electric wire bundle are added.
- the main wire bundle of the wire-like structure is expressed as a combination of a plurality of beam elements so as to correspond to the reference shape, and the clamp mounting node and the no or auxiliary wire bundle branch node of the main wire bundle are
- a reference shape model creation step of creating a reference shape model to which a predetermined reference axis is added; and deforming the reference shape model by referring to the shape characteristics and the material characteristics of the wire-like structure to obtain the deformed shape model.
- a superimposition calculation step of calculating the shape when superimposed by using a finite element method; and after the superposition calculation step, an angle formed by the reference axis, the clamp axis, and the or a virtual clamp axis, And a torsion angle calculation step of calculating as a torsion angle.
- the torsion angle calculation method according to claim 2 made in order to solve the above-mentioned problem is the torsion angle calculation method according to claim 1, wherein the virtual clamp axis is calculated by starting from the sub-wire branch node.
- a torsion angle calculation method has been made to solve the above problem.
- the torsion angle calculation method according to claim 2 wherein the torsion angle is reversed, and the clamp axis and / or the virtual clamp axis are rotated. And displaying the reference shape model together with the reference shape model.
- a torsion angle calculation method according to claim 4 made in order to solve the above-mentioned problem is a torsion angle calculation method according to any one of claims 1 to 3, wherein the reference shape is the wire-like structure.
- the deformed shape corresponds to a shape when the object is unfolded on the jig plate, and the deformed shape corresponds to a shape when the wire-like structure is attached to a predetermined portion.
- the torsion angle calculation method according to claim 5 made in order to solve the above-mentioned problem, comprises a main wire and a plurality of sub-wires branched from the main wire, which are designed to be routed to a predetermined portion.
- the torsion angle calculation method according to claim 6 has been made to solve the above-mentioned problem.
- the main wire is straightened without twisting.
- the constraint condition corresponding to the reference shape is set as described above.
- the torsion angle calculation method according to claim 7, which was made to solve the above problem, is the torsion angle calculation method according to claim 5 or 6, wherein the plane is used when manufacturing the wire-like structure. It is a reference plane assuming a jig plate to be used.
- a torsion angle calculation method made in order to solve the above-mentioned problem, in the torsion angle calculation method according to claim 7, wherein the main wire is a wire-like structure. Having a maximum diameter.
- the torsion angle calculation method according to claim 9 has been made to solve the above-mentioned problem.
- a wire having a thickness next to the main wire may also be used.
- the constraint condition is set so as to ride on the reference plane.
- the torsion angle calculation method according to claim 10 has been made to solve the above-mentioned problem.
- An angle formed by a rotation axis of the clamp with respect to the plane is also calculated as the torsion angle.
- the twist angle calculation method according to claim 11 made in order to solve the above-mentioned problem is the twist angle calculation method according to claim 5, wherein the wire-like structure is replaced with the plurality of sub-wires.
- An angle formed by the rotation axis of the clamp with respect to the plane is calculated as the torsion angle, in place of the plurality of sub-wires, the clamp being configured to include a torsion-producing clamp attached to the main wire.
- a torsion angle calculation device which has been made to solve the above problem, includes a main wire, a sub wire branched from the main wire, and Z or a clamp attached to the main wire.
- a device that calculates the degree of twisting of the auxiliary wire and / or the clamp that occurs when the wire-like structure to be deformed is deformed from a reference shape stretched straight without twist to a deformed shape different from this. And connecting the main wire of the wire-like structure to a plurality of beam elements so as to correspond to the deformed shape. And a clamp axis for finding the torsion angle of the clamp and a virtual clamp axis for finding the torsion angle of the sub-wire, respectively, at the clamp installation node and / or the sub-wire branch node of this main wire.
- a deformed shape model creating means and a main wire of the wire-like structure is represented as a combined body of a plurality of beam elements so as to correspond to the reference shape, and a clamp mounting of the main wire is performed.
- a reference shape model creating means for creating a reference shape model in which a reference axis extending in the same direction is added to each of the nodes and / or the auxiliary wire branching nodes; and the reference shape model while referring to the physical characteristics of the wire-like structure.
- a superposition calculation means for calculating a shape when the shape is superimposed on the deformed shape model by using a finite element method; and And a torsion angle calculating means for calculating, as a torsion angle, an angle formed by the reference axis and the clamp axis and / or the virtual clamp axis.
- a torsion angle calculation program made to solve the above-mentioned problem includes a main wire, a sub-wire branched from the main wire, and / or a clamp attached to the main wire.
- the combi-tor is expressed as a combination of a plurality of beam elements of a main wire of the uniform wire structure so as to correspond to the deformed shape, and a clamp mounting node and a no or sub-wire branching node of the main wire.
- Means for forming a deformed shape model wherein the main wire of the wire-like structure is represented as a combination of a plurality of beam elements so as to correspond to the reference shape, and the clamp attachment node and z or the sub-wire branch node of the main wire are A reference shape model creating means for creating a reference shape model to which a reference axis extending in the same direction is added, and deforming the reference shape model while superimposing the reference shape model on the deformed shape model while referring to the physical characteristics of the wire-like structure.
- a superimposition calculation means for calculating the combined shape using a finite element method after the calculation by the superimposition calculation means, the reference axis, the clamp axis and Alternatively, it functions as torsion angle calculation means for calculating an angle formed by the virtual clamp axis as a torsion angle.
- a torsion angle calculation method made in order to solve the above-mentioned problem, using a computer, a torsion angle as viewed from the main wire side of a clamp attached on a sub-wire branched from a main wire.
- a calculation method wherein the deformed shape of the main wire is expressed as a combination of a plurality of beam elements, and a branch axis for calculating the torsion angle of the sub-wire is added to a wire branch node on the main wire.
- a main line that is expressed as a combination of elements and that creates a main line reference shape model in which a first reference axis serving as a reference for obtaining the torsion angle of the branch axis is added at a position corresponding to the wire branch node.
- a reference shape model creation step and the first reference axis when the main wire reference shape model is deformed and superimposed on the main wire deformed shape model while referring to the physical characteristics of the wire-like structure.
- the sub-wire is expressed as a combination of a plurality of beam elements so as to correspond to the extended sub-wire reference shape, and the torsion angle of the clamp shaft is set at a position corresponding to the clamp shaft.
- a secondary torsion angle which is an angle formed by the second reference axis and the clamp axis when the model is deformed and superimposed on the deformed subwire model, is calculated by using a finite element method.
- the main wire is expressed as a combined body of a plurality of beam elements so as to correspond to the main wire reference shape which is a shape obtained by straightening the main wire straight without twisting, at a position corresponding to the wire branch node,
- a first torsion angle that is an angle formed by the first reference axis and the first branch axis when the main wire reference shape model is deformed and superimposed on the main wire deformed shape model.
- the sub-wire is expressed as a combination of a plurality of beam elements, and at a position corresponding to the second wire branch node, a second reference which is a reference for obtaining a torsion angle of the second branch axis.
- a torsion angle calculation device made in order to solve the above-mentioned problem uses a computer to calculate a torsion angle as viewed from the main wire side of a clamp attached on a sub-wire branched from a main wire.
- An apparatus for calculating the deformation of the main wire rod A main wire for expressing a shape as a joint of a plurality of beam elements, and forming a deformed shape model of a main wire in which a branch axis for obtaining the torsion angle of the sub-wire is added to a wire branch node on the main wire.
- a deformed shape model creating means and expressing the main wire as a combined body of a plurality of beam elements so as to correspond to a main wire reference shape, which is a shape obtained by straightening the main wire straight without twisting;
- a main wire reference shape model creating means for creating a main wire reference shape model in which a first reference axis serving as a reference for obtaining the torsion angle of the branch shaft is added at a position corresponding to A first torsion that is an angle formed by the first reference axis and the branch axis when the main wire rod reference shape model is deformed and superimposed on the main wire rod deformed shape model while referring to the physical characteristics of the main wire rod reference shape model Corner
- Corner A main wire rod angle calculating means for calculating using a limiting element method, a deformation shape of the sub wire rod is expressed as a combination of a plurality of beam elements, and a torsion angle of the clamp is provided at a clamp mounting node on the sub wire rod.
- a sub-wire reference shape in which the sub-wire is expressed as a combination of a plurality of beam elements, and a second reference axis serving as a reference for determining the torsion angle of the clamp axis is added at a position corresponding to the clamp axis.
- a sub-wire angle calculating means for calculating a second torsion angle, which is an angle formed by the second reference axis and the clamp axis, by using a finite element method; and Torsion angle calculating means for correcting based on the first torsion angle to obtain an angle formed by the first reference axis and the clamp axis.
- a torsion angle calculation program according to claim 17 for solving the above-mentioned problem is to calculate a torsion angle as viewed from the main wire side of a clamp attached on a sub-wire branched from a main wire.
- the computer expresses the deformed shape of the main wire as a combination of a plurality of beam elements, and adds a branch axis for calculating a twist angle of the sub-wire to a wire branch node on the main wire.
- Means for creating a deformed shape model for forming a deformed shape model, wherein the main wire is stretched straight without twisting The main wire is expressed as a combined body of a plurality of beam elements so as to correspond to the main wire reference shape that is a shape, and a reference for obtaining a torsion angle of the branch shaft at a position corresponding to the wire branch node.
- a main wire reference shape model creating means for creating a main wire reference shape model to which a first reference axis is added, and deforming the main wire reference shape model while referring to physical characteristics of the wire-like structure.
- a main wire angle calculating means for calculating, using a finite element method, a first torsion angle which is an angle formed by the first reference axis and the branch axis when superimposed on a deformed shape model;
- a deformed shape is expressed as a combined body of a plurality of beam elements, and a sub-wire deformed shape model is created in which a clamp axis for obtaining a torsion angle of the clamp is added to a clamp mounting node on the sub-wire.
- Material deformed shape model creating means representing the sub-wire as a combination of a plurality of beam elements so as to correspond to the sub-wire reference shape which is a shape obtained by straightening the sub-wire straight without twisting, and corresponding to the clamp axis.
- a sub-wire reference shape model creating means for creating a sub-wire reference shape model in which a second reference axis serving as a reference for determining the torsion angle of the clamp shaft is provided at a position where the torsion angle of the clamp shaft is to be determined;
- the second torsion angle which is the angle formed by the second reference axis and the clamp axis when the sub-wire reference shape model is deformed and superimposed on the sub-wire deformed shape model, is calculated by the finite element method.
- a second wire angle calculating means for calculating the angle using the first torsion angle based on the first torsion angle to obtain an angle between the first reference axis and the clamp axis. Angle calculating means, to function as, and wherein the.
- a twist angle calculation method made in order to solve the above problem is a method of calculating and displaying a twist angle with respect to a zero twist plane of a clamp mounted on a main wire using a computer.
- a main wire reference shape model in which a reference axis for obtaining the zero torsion plane is added to each node including a position corresponding to the clamp mounting node and expressed as a body.
- the torsion angle calculation method according to claim 19, which is made to solve the above problem, is the torsion angle calculation method according to claim 18; And a second display step of displaying together.
- a torsion angle calculation method made in order to solve the above-mentioned problem is characterized in that a torsion angle with respect to a torsion-free plane of a clamp attached on a main wire and a sub-wire branched from the main wire is calculated by computer. And displaying the deformed shape of the main wire as a combination of a plurality of beam elements, and at a clamp mounting node on the main wire, a torsion angle of a clamp on the main wire.
- the main wire rod is expressed as a combined body of a plurality of beam elements, and the first torsion plane is determined for each node including the position corresponding to the clamp mounting node.
- the sub-wire is represented as a combined body of a plurality of beam elements so as to correspond to the sub-wire reference shape, which is a shape obtained by extending the wire straight without twisting, and includes a position corresponding to the clamp mounting node.
- a second torsion zero plane setting that sets the second torsion zero plane by connecting the second reference axes when the sub-wire reference shape model is deformed and superimposed on the sub-wire deformed shape model And displaying the first zero-torsion plane and the second zero-torsion plane together with the deformed shape, the first clamp axis and the second clamp axis.
- a torsion angle calculation device made to solve the above-mentioned problem is a device that calculates and displays a torsion angle with respect to a zero torsion surface of a clamp mounted on a main wire using a computer.
- the torsion angle calculation program is a computer for calculating and displaying a torsion angle with respect to a torsion-free plane of a clamp mounted on a main wire.
- a deformed shape model of the main wire in which the deformed shape of the main wire is expressed as a combined body of a plurality of beam elements, and a clamp shaft for expressing the torsion angle of the clamp is added to a clamp mounting node on the main wire.
- a main wire reference shape model creating means for creating a main wire reference shape model in which each node including a position corresponding to the clamp mounting node is added with a reference axis for obtaining the zero twist plane,
- a twist-free plane setting means for setting the zero-twist plane by connecting the reference axes when the main-wire reference shape model is deformed and superimposed on the deformed main-wire shape model;
- a display means for displaying a surface together with the deformed shape and the clamp axis.
- the main wire of the wire-like structure is represented as a combined body of a plurality of beam elements so as to correspond to a desired deformed shape.
- a deformed shape model is created in which a clamp axis for determining the torsion angle of the clamp and a virtual clamp axis for determining the torsion angle of the no.
- the main wire of the wire-like structure is expressed as a combination of a plurality of beam elements so as to correspond to the reference shape stretched straight and straight without twisting, and the clamp mounting node and Z or sub wire of this main wire are
- a reference shape model in which a predetermined reference axis is added to each of the branch nodes is created.
- the shape when the reference shape model is deformed and superimposed on the deformed shape model is calculated using the finite element method.
- the reference axis of the reference shape model also rotates with the superposition, and the angle formed by the reference axis at the end of the superposition and the clamp axis and Z or the virtual clamp axis of the deformed shape model is calculated as a torsion angle. Is done.
- the torsion angle of the auxiliary wire and the nose or the clamp which has been conventionally difficult, can be easily and accurately calculated.
- a tangent plane including both a tangent vector to the sub-wire and a tangent vector to the main wire starting from the sub-wire branch node is created, and Then, the vector that is orthogonal to the tangent vector to the main wire starting from the sub-wire branch node is calculated as the virtual clamp axis, and the virtual clamp axis is used to represent the torsion angle of the sub-wire.
- the torsion angle of the secondary wire can be determined in the same procedure as for the clamp. I will be able to.
- the calculated torsion angle is reversed, and the clamp axis and / or the virtual clamp axis are displayed so as to overlap the reference shape model.
- the twist angle can be grasped intuitively.
- the reference shape corresponds to the shape when the wire-like structure is deployed on the jig plate, and the deformed shape is when the wire-like structure is attached to a predetermined portion. It is effective for designing jig plates and manufacturing efficient wire harnesses in accordance with the actual shape.
- the wire-like structure is regarded as an elastic body in which a plurality of beam elements are connected, and a finite element model of the wire-like structure is created, and the physical property of the wire-like structure is The properties and constraints are applied to the finite element model, and a wire-like structure designed to be routed to a predetermined location is transformed into a reference shape such that its main wire rods on a predetermined plane.
- the angle that the sub-wire makes with this plane is calculated as the torsion angle.
- a finite element model is created, and the design shape is transformed into a reference shape such that the main wire rods on a predetermined plane.
- the constraint condition is set so that the main wire is straightened without twisting.
- the constraint condition is set so that the main wire rods on a reference plane assuming a jig plate used when manufacturing the wire-like structure.
- the torsion angle is calculated using the angle formed by the auxiliary wire with respect to.
- the main wire which is an electric wire having the largest diameter among all the wires constituting the wire-like structure, rides on the reference plane. Then, the torsion angles of other wires are calculated with respect to this reference plane.
- the second largest wire is next to the main wire. Since the constraint condition is set so that the wire also rides on the reference plane, the thickest wire and the next thickest wire both ride on the reference plane. Then, the torsion angles of other wires are calculated with respect to this reference plane.
- the torsion angles of the auxiliary wire and the clamp with respect to the main wire in the reference shape are calculated.
- the torsion angle of the clamp with respect to the main wire in the reference shape is calculated.
- the deformed shape of the main wire is expressed as a combination of a plurality of beam elements, and the sub-branch nodes on the main wire are A deformed shape model of the main wire with a branch axis for calculating the torsion angle of the wire is created, and the main wire is adjusted to correspond to the standard shape of the main wire, which is a straight shape with no twist.
- a main wire rod reference shape model is created with a first reference axis, which is the reference for determining the torsion angle of the branch axis, added at the position corresponding to the wire branch node .
- the first torsion angle which is the angle formed by the first reference axis and the branch axis when the main wire reference shape model is deformed and superimposed on the deformed main wire shape model, is calculated using the finite element method. Is calculated.
- the deformed shape of the sub-wire is expressed as a combined body of multiple beam elements, and a deformed shape model of the sub-wire, in which a clamp axis for obtaining the torsion angle of the clamp is added to the clamp attachment node on the sub-wire.
- the wire is represented as a combined body of multiple beam elements so as to correspond to the sub-wire standard shape, which is a shape obtained by straightening the sub-wire straight without twisting, and at the position corresponding to the clamp axis, A sub-wire reference shape model to which a second reference axis serving as a reference for obtaining the torsion angle of the clamp axis is created.
- the second torsion angle which is the angle formed by the second reference axis and the clamp axis when the sub-wire reference shape model is deformed and superimposed on the sub-wire deformed shape model, is calculated using the finite element method. Is calculated.
- the second torsion angle is corrected based on the first torsion angle, and an angle between the first reference axis and the clamp axis is obtained.
- the deformed shape of the main wire is expressed as a combination of a plurality of beam elements, and the torsion angle of the sub-wire is determined at a wire branch node on the main wire.
- the first branch axis is added to create a deformed shape model of the main wire, and the main wire is made up of multiple beam elements so as to correspond to the main wire reference shape, which is a straight shape obtained by extending the main wire straight without twisting.
- a main wire reference shape model is created in which a first reference axis serving as a reference for determining the torsion angle of the first branch axis is added at a position corresponding to the wire branch node.
- the first torsion angle which is the angle formed between the first reference axis and the first branch axis when the main wire reference shape model is deformed and superimposed on the deformed main wire shape model, is calculated by the finite element method.
- the deformed shape of the secondary wire is expressed as a combination of a plurality of beam elements, and a secondary branch axis for calculating the torsion angle of the secondary secondary wire is added to the secondary wire branch node on the secondary wire.
- a deformed wire rod model is created, and the sub-wire is expressed as a combined body of a plurality of beam elements so as to correspond to the reference wire, which is a shape obtained by straightening the sub-wire straight without twist.
- a sub-wire reference shape model is created in which a second reference axis serving as a reference for obtaining the torsion angle of the second branch axis is added at a position corresponding to the wire branch node.
- the second torsion angle which is the angle between the second reference axis and the second branch axis, is calculated using the finite element method. Is calculated. Then, the second torsion angle is corrected based on the first torsion angle, and an angle formed by the first reference axis and the second branch axis is obtained.
- the deformed shape of the main wire is expressed as a combination of a plurality of beam elements, A deformed shape model of the main wire rod with a clamp axis added to represent the torsion angle of the clamp at the pump mounting node is created, and the main wire rod is straightened straight without any twisting.
- the main wire rod shape is expressed as a joint of multiple beam elements, and the main wire reference shape model in which a reference axis for obtaining the zero torsion plane is added to each node including the position corresponding to the clamp mounting node Created.
- the deformed shape of the main wire is expressed as a combination of a plurality of beam elements, and the torsion angle of the clamp on the main wire is expressed at a clamp attachment node on the main wire.
- a plurality of main wire rods are formed so as to correspond to the standard shape of the main wire rod, which is a straight shape without twisting.
- a main wire rod reference shape model was created in which each node including the position corresponding to the clamp mounting node was added with a first reference axis for finding the first zero torsion plane. You. Next, when the main wire reference shape model is deformed and superimposed on the main wire deformed shape model,
- the first torsion zero plane is set.
- the deformed shape of the sub-wire is expressed as a combination of a plurality of beam elements, and a second clamp axis for expressing the torsion angle of the clamp on the sub-wire is added to the clamp mounting node on the sub-wire, and
- the deformed wire rod model is created, and the sub-wire is expressed as a combination of multiple beam elements to correspond to the sub-wire reference shape, which is a straight-line shape obtained by extending the sub-wire straight without twisting.
- a sub-wire reference shape model is created in which a second reference axis for obtaining the second torsion-free plane is added to each of the nodes including the position corresponding to the mounting node.
- the torsion of the first reference axis constituting the first zero torsion plane is propagated to the second reference axis, and the second reference axis is deformed and superimposed on the sub-wire deformed shape model.
- the second zero twist plane is set.
- the first zero twist plane and the second zero twist plane are displayed together with the deformed shape, the first clamp axis and the second clamp axis.
- the main wire of the wire-like structure is represented as a combined body of a plurality of beam elements so as to correspond to a desired deformed shape.
- a deformed shape model in which a clamp axis for obtaining the torsion angle of the clamp and / or a virtual clamp axis for obtaining the torsion angle of the sub-wire is added to the clamp mounting node and / or the sub-wire branch node of the main wire, respectively.
- the main wire of the uniform wire structure is represented as a combination of multiple beam elements so as to correspond to the reference shape that has been created and is stretched straight without twisting, and the clamp mounting nodes and / or A reference shape model is created in which the extension in the same direction is added to each sub-wire branch node.
- the shape when the reference shape model is deformed and superimposed on the deformed shape model is calculated using the finite element method while referring to the physical characteristics of the wire-like structure.
- the reference axis of the reference shape model also rotates with the superposition, and the angle formed by the reference axis at the end of the superposition and the clamp axis and / or the virtual clamp axis of the deformed shape model is calculated as a torsion angle.
- a tangent plane including both a tangent vector to the sub-wire and a tangent vector to the main wire starting from the sub-wire branch node is created, and Then, the vector that is orthogonal to the tangent vector to the main wire starting from the sub-wire branch node is calculated as the virtual clamp axis, and the virtual clamp axis is used to represent the torsion angle of the sub-wire.
- the torsion angle of the auxiliary wire can be obtained by the same processing procedure as that of the clamp. Therefore, the processing procedure for torsion angle calculation is made more efficient.
- the calculated torsion angle is reversed, and the clamp axis and / or the virtual clamp axis are displayed so as to be superimposed on the reference shape model.
- the torsion angle can be ascertained, which is effective for designing a more accurate jig plate and manufacturing a more efficient wire harness.
- the reference shape corresponds to the shape when the wire-like structure is deployed on the jig plate, and the deformed shape is when the wire-like structure is attached to a predetermined portion. It is effective for designing jig plates and manufacturing efficient wire harnesses in accordance with the actual shape.
- the wire-like structure is regarded as an elastic body in which a plurality of beam elements are connected, and a finite element model of the wire-like structure is created, and the physical property of the wire-like structure is The characteristics and constraints are applied to the finite element model, and a wire-like structure designed to be routed to a predetermined location is placed on a predetermined plane. It is transformed into a reference shape that rides.
- the angle that the sub-wire makes with this plane is calculated as the torsion angle.
- a finite element model is created and the design shape is transformed into a reference shape such that the main wire rods on a predetermined plane, and the angle formed by the sub-wire with respect to this plane is determined as the torsion angle.
- the constraint conditions are set so that the main wire is straightened without twisting, it is effective for designing a more accurate jig plate and efficiently manufacturing a wire harness. It becomes.
- the constraint condition is set so that the main wire rods on a reference plane assuming a jig plate used when manufacturing the wire-like structure.
- the torsion angle is calculated by using the angle formed by the auxiliary wire with respect to the jig, and it is effective for the design of the jig plate and the manufacture of the wire harness, etc., based on the premise of manufacturing on the jig plate. It becomes.
- the main wire which is an electric wire having the largest diameter among all the wires constituting the wire-like structure, rides on the reference plane. Therefore, it is effective in designing a jig plate that is more realistic and manufacturing a more efficient wire harness.
- the constraint condition is set so that the thickest wire next to the main wire out of the plurality of sub-wires also rides on the reference plane, the largest wire and the next thickest wire can be used. Are both on the reference plane. Then, the torsion angles of other wires are calculated with respect to this reference plane. Therefore, it is effective in designing a jig plate more realistically and manufacturing a more efficient wire harness.
- the torsion angles of the auxiliary wire and the clamp with respect to the main wire in the reference shape are calculated. Therefore, it is effective in designing a jig plate and manufacturing a wire harness in a more realistic manner.
- the clamp for the main wire in the reference shape is provided.
- the torsion angle of the ramp is calculated. Therefore, it is effective in designing a jig plate for a wire harness where a clamp is frequently used, manufacturing a wire harness, and the like.
- the deformed shape of the main wire is expressed as a combination of a plurality of beam elements, and the sub-branch nodes on the main wire are A deformed shape model of the main wire with a branch axis for calculating the torsion angle of the wire is created, and the main wire is adjusted to correspond to the standard shape of the main wire, which is a straight shape with no twist.
- a main wire rod reference shape model is created with a first reference axis, which is the reference for determining the torsion angle of the branch axis, added at the position corresponding to the wire branch node .
- the first torsion angle which is the angle formed by the first reference axis and the branch axis when the main wire reference shape model is deformed and superimposed on the deformed main wire shape model, is calculated using the finite element method. Is calculated.
- the deformed shape of the sub-wire is expressed as a combined body of multiple beam elements, and a deformed shape model of the sub-wire, in which a clamp axis for obtaining the torsion angle of the clamp is added to the clamp attachment node on the sub-wire.
- the wire is represented as a combined body of multiple beam elements so as to correspond to the sub-wire standard shape, which is a shape obtained by straightening the sub-wire straight without twisting.
- a sub-wire reference shape model to which a second reference axis serving as a reference for obtaining the torsion angle of the clamp axis is created.
- the second torsion angle which is the angle formed by the second reference axis and the clamp axis when the sub-wire reference shape model is deformed and superimposed on the sub-wire deformed shape model, is calculated using the finite element method. Is calculated.
- the second torsion angle is corrected based on the first torsion angle, and an angle between the first reference axis and the clamp axis is obtained. Therefore, the torsion angle as viewed from the main wire side of the clamp attached on the sub wire diverging from the main wire can be accurately calculated.
- the deformed shape of the main wire is expressed as a combination of a plurality of beam elements, and the second branch for determining the torsion angle of the sub wire at the wire branch node on the main wire.
- a main wire rod deformed shape model is created by adding a branch axis, and the main wire rod is a combination of multiple beam elements so as to correspond to the main wire rod reference shape, which is a shape obtained by extending the main wire straight without twisting.
- a main wire reference shape model to which a first reference axis serving as a reference for obtaining the torsion angle of the first branch axis is created.
- the first torsion angle which is the angle formed between the first reference axis and the first branch axis when the main wire reference shape model is deformed and superimposed on the deformed main wire shape model, is calculated by the finite element method.
- the deformed shape of the secondary wire is expressed as a combination of a plurality of beam elements, and a secondary branch axis for calculating the torsion angle of the secondary secondary wire is added to the secondary wire branch node on the secondary wire.
- a deformed wire rod shape model is created, and the sub-wire is expressed as a combination of a plurality of beam elements so as to correspond to the reference shape, which is a shape obtained by extending the sub-wire straight without twist.
- a sub-wire reference shape model is created in which a second reference axis serving as a reference for obtaining the torsion angle of the second branch axis is added at a position corresponding to the branch node.
- the second torsion angle which is the angle between the second reference axis and the second branch axis, is calculated using the finite element method. Is calculated.
- the second torsion angle is corrected based on the first torsion angle, and an angle formed by the first reference axis and the second branch axis is obtained. Therefore, the torsion angle of the second sub-wire that branches further from the sub-wire that branches off from the main wire can be accurately calculated when viewed from the main wire side.
- the deformed shape of the main wire is expressed as a combination of a plurality of beam elements
- a deformed shape model of the main wire rod with a clamp axis added to represent the torsion angle of the clamp at the pump mounting node is created, and the main wire rod is straightened straight without any twisting.
- the main wire rod is represented as a combined body of multiple beam elements, and each node including the position corresponding to the clamp attachment node has a main axis reference shape model with a reference axis for finding the torsion plane Is created.
- the deformed shape of the main wire is expressed as a combination of a plurality of beam elements, and the torsion angle of the clamp on the main wire is expressed at a clamp attachment node on the main wire.
- a plurality of main wire rods are formed so as to correspond to the standard shape of the main wire rod, which is a straight shape without twisting.
- a main wire rod reference shape model was created in which each node including the position corresponding to the clamp mounting node was added with a first reference axis for finding the first zero torsion plane. You. Next, the first zero-twist plane is set by connecting the first reference axes when the main wire reference shape model is deformed and superimposed on the main wire deformed shape model.
- the deformed shape of the sub-wire is expressed as a combination of a plurality of beam elements, and a second clamp axis for expressing the torsion angle of the clamp on the sub-wire is added to the clamp mounting node on the sub-wire,
- the deformed shape model is created, and the sub-wire is expressed as a combined body of multiple beam elements so as to correspond to the sub-wire reference shape, which is a shape obtained by straightening the sub-wire straight without twist.
- a sub-wire reference shape model to which a second reference axis for obtaining the second torsion-free plane is added is created for each node including a position corresponding to the mounting node.
- the torsion of the first reference axis constituting the first torsion zero plane is propagated to the second reference axis, and the second reference axis is deformed and superimposed on the deformed subwire model.
- the second torsion zero plane is set.
- the first zero torsion plane and the second zero torsion plane are displayed together with the deformed shape, the first clamp axis and the second clamp axis. Therefore, the torsion angle with respect to the zero torsion plane of the clamp attached on the main wire and the sub wire branched from the main wire can be easily grasped.
- FIGS. 1A and 1B are diagrams showing the shape of the wire harness at the time of design and at the time of manufacture, respectively.
- FIGS. 2 (A) and 2 (B) are diagrams for explaining the twist angle in the wire harness.
- FIG. 3 is a diagram showing a relationship between a representative clamp attached to a wire harness and a degree of freedom of restraint.
- Fig. 4 (A) is a diagram showing the appearance of the wire harness
- Fig. 4 (B) is a diagram showing a state where the wire harness of Fig. 4 (A) is discretized
- Fig. 4 (C) is Fig. 4 is a diagram showing the wire harness of Fig. 4 (A) with beam elements and nodes.
- FIG. 5 is a diagram for explaining a degree of freedom in a wire harness represented by beam elements and nodes.
- FIG. 6 (A) is a diagram showing a wire harness represented by three beam elements
- FIG. 6 (B) is a diagram showing a state where the three beam elements of FIG. 6 (A) are connected.
- Fig. 7 (A) is a diagram showing one part of a wire harness consisting of three beam elements and beam elements corresponding to the branch lines, and Fig. 7 (B) shows Fig. 7 (A) It is a figure showing the state where they were combined after being represented by an element.
- Fig. 8 (A) is a diagram showing the measurement of the second moment of area and the longitudinal elastic modulus
- Fig. 8 (B) is a diagram showing the measurement of the second moment of the cross section and the lateral elastic modulus. is there.
- FIG. 9 is a block diagram showing an example of a hardware configuration according to the present invention.
- FIG. 10 is a flowchart illustrating a processing procedure according to the first embodiment of the present invention.
- FIGS. 11 (A) to 11 (C) are flow charts showing the subroutine in the processing procedure of FIG.
- FIGS. 12 (A) to 12 (E) are diagrams exemplifying states in the process of the processing of FIG.
- FIG. 13 is a diagram for explaining the process of FIG. 11 (C).
- FIG. 14 is a flowchart illustrating a processing procedure according to the second embodiment of the present invention.
- FIGS. 15A to 15D are diagrams exemplifying states in the process of the process of FIG.
- FIG. 16 is a flowchart showing a processing procedure according to the third embodiment of the present invention.
- FIG. 17 is a diagram illustrating a state in the course of the process of FIG.
- FIG. 18 is a diagram illustrating a state in the course of the process of FIG.
- FIG. 19 is a diagram illustrating a state in the course of the process of FIG.
- FIG. 20 is a flowchart illustrating a processing procedure according to the fourth embodiment of the present invention.
- FIG. 21 is a diagram illustrating an example of the result of the process in FIG.
- FIGS. 22 (A) to 22 (C) are diagrams for explaining the propagation process on the zero-twist plane.
- FIG. 3 is a diagram showing a relationship between a representative clamp attached to a wire harness and a degree of freedom of restraint.
- the wire harness in the present specification is not limited to a vehicle, but in order to understand the gist of the present invention, a description will be given while exemplifying a wire harness arranged in a vehicle.
- the target wire harness has a plurality of branch lines 1 b 1 to lb 4 branching in different directions from branch points 3 a to 3 d of the main line 1 a as described above. have.
- clamps 2a to 2g are attached to the ends and intermediate points.
- the trunk line 1a and the branch lines 1b1 to 1b4 basically differ from each other in the number and types of the constituent linear members, so that the thickness, length, elasticity, rigidity and the like of each branch line also differ.
- the wire harness, the main line, and the branch line in this embodiment respectively correspond to the wire-like structure, the main wire, and the sub wire in the claims.
- the clamps 2a to 2f are detachably fixed to predetermined positions according to the fixing position of the mating clamp on the electrical component side and the mounting direction thereof, and completely bind the ends of the wire harness.
- the clamp that completely restrains this end is sometimes called a connector (see Fig. 3).
- the clamp 2 g is usually attached to an intermediate portion of the wire harness, and completely or rotationally restrains the wire harness at a predetermined position such as a body pedestal. Although only one clamp is shown here, multiple clamps are usually attached to the wire harness.
- other members that restrain the wire harness include a protector and a grommet.
- the round hole clamp is also called a rotary clamp, and includes a pedestal portion for holding a wire harness and support legs inserted into round hole-shaped mounting holes provided on a stay or the like.
- the round hole clamp is rotatable around the Z axis (vertical to the mounting site).
- a long hole clamp also called a fixed clamp, comprises a pedestal portion for holding a wire harness and support legs inserted into long hole-shaped mounting holes provided on a stay or the like. Is done.
- the cross-sectional shape of this support leg is an elongated hole substantially similar to the mounting hole. Slot clamps cannot rotate about the z-axis.
- the long hole clamp and the round hole clamp include a corrugated long hole clamp and a corrugated round hole clamp that can rotate around the X axis (the longitudinal direction of the wire harness).
- Fig. 3 shows the degrees of freedom of each clamp in each axial direction and around each axis.
- the X, Y, and Z axes correspond to the three orthogonal axes in the right-hand local coordinate system at each node (or node) on the wire harness.
- the Z axis is made to coincide with the clamp axis, but these determination methods can be appropriately changed depending on the function to be used.
- the degree of freedom of constraint at the branch point is also shown for reference.
- the nodes on the wire harness arbitrarily set other than the above-mentioned constraint points are basically completely free. As described later, such a degree of freedom of constraint is set for each node before calculating the predicted path, the reaction force, and the like.
- FIG. 4 (A) is a diagram showing an appearance of the wire harness
- FIG. 4 (B) is a diagram showing a state where the wire harness of FIG. 4 (A) is separated
- FIG. 4 (C) shows the wire harness of Fig. 4 (A) with beam elements and nodes.
- FIG. 5 is a diagram for explaining the degrees of freedom in the wire harness represented by beam elements and nodes.
- a reference shape is calculated using a finite element method.
- the finite element method the following assumptions are made.
- the wire harness is discretized. That is, as shown in FIG. 4A, a wire harness 1 in which a plurality of electric wires 11 are bundled by a protective member such as a tape 12 can be regarded as a continuous body.
- a wire harness 1 is divided (discretized) into several beam elements C1, C2, C3, .... That is, a wire-harness is like a single rope, so it can be regarded as a finite number of beam elements connected. Therefore, as shown in Fig. 4 (C), the wire harness is represented by connecting a plurality of beam elements C1, C2, C3, ... with a plurality of nodes Nl, N2, N3, ... be able to.
- the characteristic values required for the beam elements are as follows.
- Sectional moment of inertia J also known as torsional resistance coefficient
- the physical properties such as the length 1, the cross-sectional area 2, the second moment of area I, the second moment of area J, the longitudinal elastic modulus E and the transverse elastic modulus G, the density p, the Poisson's ratio ⁇ , etc.
- each beam element C (C1, C2, C3,%) Has two nodes a and ⁇ .
- the node ⁇ has three translational components and three rotational components, so it has a total of six degrees of freedom.
- beam element C has 12 degrees of freedom.
- F xi Nodal force in the direction of the X-i axis of the i-th element
- F yi Nodal force of element i in yi axis direction
- M yi Moment of the i-th element around the yi axis (positive in the right-hand thread direction)
- ⁇ yi Angular displacement of element ⁇ ⁇ around the y i axis (positive right screw direction)
- e zi Angular displacement of the i-th element around the zi axis (positive in the right-hand thread direction)
- a is the left node
- ⁇ is the right node
- the equilibrium equation of the finite element method generally takes the following form.
- [K] is the overall stiffness matrix
- [K G ] is the overall geometric stiffness matrix
- ⁇ x ⁇ is the displacement vector
- ⁇ F ⁇ is the load vector (also called the force vector).
- Equation (1) is algebraically a nonlinear system of equations, and cannot be solved as it is in actual numerical analysis. For this reason, an incremental method is adopted in which the load value is subdivided and sequentially added (the same applies to the case of forced displacement). Therefore, the equilibrium equation of equation (1) is also expressed in the following increment format.
- ⁇ AF ⁇ the value of the load increment
- ⁇ X ⁇ the incremental displacement in the increment step
- ⁇ R ⁇ the correction vector of the load vector
- the equilibrium equation is calculated as a linear equation, and the resulting unbalanced power (the vector ⁇ R ⁇ in equation (1) ') is allowed by an iterative method before proceeding to the next step.
- Will be reduced to These algorithms include: For example, a known method such as the Newton's Rapson method or the arc length method is used.
- the equilibrium of equation left, if omitted overall geometric stiffness matrix of the second term [K G] can also often be benign, also omitted in this case I have.
- the first stiffness matrix [K] on the left side is obtained by converting the stiffness matrix of each element to be rewritten into the global coordinate system while changing the coordinate values every moment in each increment step.
- the specific expression of this basic element rigidity matrix is expressed by the following equation (2).
- Equation (2) the matrix of 12 rows and 12 columns is divided into four matrixes of 6 rows and 6 columns, and each is divided into Ki (1, 1), Ki (1, 2), K ; ( 2, 1) and Ki (2, 2).
- FIG. 6 (A) is a diagram showing a wire harness represented by three beam elements
- FIG. 6 (B) is a diagram showing a state where the three beam elements of FIG. 6 (A) are connected.
- Fig. 6 (A) the part of the wire harness consisting of three beam elements C1, C2, and C3 without branch lines, as shown in Fig. 6 (A). That is, this part is represented by three beam elements C1, C2, and C3.
- the displacement of the node 1 ⁇ of the beam element C 1 and the displacement of the node 2 a of the beam element C 2 are equal, and the forces applied to these nodes are also balanced.
- the displacement of the node 2 ⁇ of the beam element C 2 and the displacement of the node 3 a of the beam element C 3 are also equal, and the forces applied to these nodes are balanced. Therefore, by satisfying the conditions of continuity of displacement and balance of force, beam elements C 1 and C 2 and beam elements C 2 and C 3 can be connected as shown in Fig. 6 (B). it can.
- ⁇ yi angular displacement of the i-th strawberry element around the yi axis
- ⁇ zi angular displacement of element i around the zi axis
- the matrix (1, 1), ⁇ ; (1, 2), Kj (2, 1) and (2, 2) of 6 rows and 6 columns in the equation (4) are represented by the above equation (3).
- K 3 (1, 1), ⁇ 3 (1, 2), ⁇ 3 (2, 1) and ⁇ 3 (2, 2) correspond to beam element C 3.
- the part where (2, 2) shown by Ml 2 overlaps with K 2 (1, 1), and the part where ⁇ 2 (2, 2) and ⁇ 3 (1, 1) shown by ⁇ 23 overlap Is the sum of those components.
- FIG. 7 ( ⁇ ) shows a part of a wire harness consisting of three beam elements and beam elements corresponding to branch lines.
- Fig. 7 ( ⁇ ) shows Fig. 7 ( ⁇ ) with four beam elements. It is a figure which shows the state which combined them after having represented by.
- the branch line represented by beam element C4 in the wire harness branches from node ⁇ 1, and is represented by three beam elements C1, C2, and C3.
- beam elements C1 to C3 can be connected as shown in Fig. 7 (B).
- the portions represented by the three beam elements C1, C2, and C3 are as shown in FIG. 6 (B), and the description thereof will not be repeated.
- the beam element C4 branches off from the node N1 as shown in FIG. 7 (B).
- the beam element C4 corresponds to a clamp axis and a virtual clamp axis described later.
- ⁇ yi angular displacement of the i-th element in the yi-axis direction
- ⁇ ⁇ Angular displacement of the i-th element in the zi-axis direction
- the matrix of 6 rows and 6 columns K 4 (1, 1), ⁇ 4 (1, 2), ⁇ 4 (2, 1) and ⁇ 4 (2, 2) are the above (1, 1), ⁇ , (1, 2), ⁇ ⁇ (2, 1) and (2, 2) are the same.
- a finite element model can be created even for a branch line branching off from a main line and a wire harness having a clamp attached to the main line.
- a finite element model of a wire harness divided into an arbitrary number of beam elements can be created.
- the target reference shape can be calculated by calculating the unknown displacement vector ⁇ based on the above (4) and equation (6).
- Fig. 8 ( ⁇ ) is a diagram showing the measurement of the second moment of area and the longitudinal elastic modulus
- Fig. 8 ( ⁇ ) is a diagram showing the measurement of the second moment of the cross section and the lateral elastic modulus. is there.
- the length 1, cross-sectional area ⁇ , and density p can be determined by simple calculations after creating a target wire harness and measuring with a caliper, measure, weigh scale, and the like.
- the longitudinal modulus E can be expressed by the following equation (7) when the measurement method shown in Fig. 8 (A) is performed.
- the second moment of area I is, as described above, the provisional assumption that the wire harness is a circular section. Therefore, it can be expressed by the following equation (8).
- the transverse elastic modulus G can be expressed by the following equation (10) when performing the measurement method shown in FIG. 8 (B).
- the above measurement method is an example, and each value may be obtained by a method other than the above measurement example.
- a typical wire harness may be measured in advance and stored in a database, and this may be used as appropriate.
- FIG. 9 shows the hardware according to the present invention. It is a block configuration diagram showing a hardware configuration.
- the present invention includes a microcomputer 41, an input device 42, a display device 43, a printing device 44, a storage device 45, a reading device 46, and a communication interface 47.
- a well-known personal computer consisting of basic components can be used.
- the microcomputer 41 includes a CPU 41 a (central processing unit), a ROM 41 b for storing a boot program and the like, and a RAM 41 c for temporarily storing various processing results.
- the input device 42 is a keyboard, a mouse, or the like for inputting the above values
- the display device 43 is a CRT or the like for displaying a processing result
- the printing device 44 is a printer for printing the processing result.
- the storage device 45 is a hard disk drive for storing application program processing results.
- the reading device 46 is stored in a recording medium 48 such as a CD or a DVD.
- the torsion angle calculation program 48 shown in FIG. 10, FIG. 11, FIG. 14, FIG. 16 and FIG. It is a device for reading a.
- the communication interface 47 is, for example, a modem board for performing data communication with an external device using a LAN line. These components are connected via an internal bus 49.
- the microcomputer 41 transfers the torsion angle calculation program 48a read by the reading device 46 to the storage device 45, that is, installs it. After the power is turned on, the microcomputer 41 is started in accordance with the boot program stored in the ROM 41b, and starts the installed torsion angle calculation program 48a.
- the microcomputer 41 calculates the torsion angle in the wire harness according to the torsion angle calculation program 48a, outputs the torsion angle from the display device 43 and the printing device 44, and stores the result in the storage device 45. Or save it to
- the torsion angle calculation program 48a can be installed in another personal computer or the like having the above configuration, and after the installation, the computer functions as a torsion angle calculator.
- the torsion angle calculation program 48 a stored in the recording medium 48 corresponds to claims 13, 17, and 22, and the torsion angle calculation program 48 a is installed. Processing devices such as personal computers, etc. This corresponds to Item 16 and Claim 21.
- the torsion angle calculation program 48a may be provided not only through the recording medium 48 but also through a communication line such as the Internet or LAN.
- FIGS. 10 to 13 relate to the first embodiment of the present invention
- FIGS. 14 and 15 relate to the second embodiment of the present invention
- FIGS. 16 to 19 relate to the third embodiment of the present invention
- FIGS. 20 to 23 relate to the fourth embodiment of the present invention.
- FIG. 10 is a flowchart showing a processing procedure according to the first embodiment of the present invention
- FIGS. 11 (A) to 11 (C) are flowcharts showing a subroutine in the processing procedure of FIG. 10 respectively.
- FIGS. 12 (A) to 12 (E) are diagrams exemplifying states in the process of the process of FIG. 10,
- FIG. 13 is a diagram for explaining the process of FIG. 11 (C).
- the target wire harness may be a wire harness with no clamp and a clamp, a branch wire with no clamp attached, or a clamp with a branch wire.
- FIG. 12 typically shows a wire harness with no branch wires and a clamp attached.
- a deformed shape is designed, and the designed deformed shape is output to the display device 43.
- This deformed shape is, as shown in FIG. 12 (A), for example, a wire harness 1 ′ whose shape is designed so as to be routed to a predetermined portion such as a vehicle door or a floor.
- This wire harness 1 ' is, for example, a main line 10a, and clamps 20a, 20b, which are attached to an intermediate portion and an end portion of the main line 10a to fix the main line 10a to a predetermined portion. 20 c.
- a branch line branching from the main line 10a may be included.
- An application program such as a CAD installed in advance can be used for designing the deformed shape, and the deformed shape is drawn on the display device 43 using a mouse or a keyboard as the input device 42.
- the method for finding this deformed shape is Method may be used.
- step S2 the physical characteristics of the wire harness 1 'are set using the input device 42.
- constraint conditions respectively corresponding to the deformed shape and a reference shape described later are also set here.
- the physical properties are, for example, the length 1, the cross-sectional area A, the second moment of area I, the second moment of area J, the density p, the Poisson's ratio ⁇ , the modulus of longitudinal elasticity ⁇ , and the modulus of transverse elasticity G described above. For these, values measured or calculated in advance as described above are used. These values relate to each element in the stiffness matrix [ ⁇ ] in equation (6).
- the constraint conditions are the coordinates corresponding to the deformed shape and the reference shape of the wire harness 1 ', and the degrees of freedom of the clamps 20a, 20b, and 20c as shown in FIG.
- step S3 and step S4 based on the values set in step S2, a reference shape model 1A and a deformed shape model 1B are created as shown in FIG. 12 (B). Is done. However, here, it is not necessary to display these models 1A and 1B on the display device 43.
- the reference shape model 1A and the deformed shape model 1B conform to FIG. 7 and equation (6).
- the reference shape model 1A for example, is effective in designing a jig plate and manufacturing an efficient wire harness in accordance with the shape when the wire harness is deployed on the jig plate. It becomes.
- Step S3 corresponds to the reference shape model creation step and the reference shape model creation means in the claims
- step S4 corresponds to the deformation shape model creation step and the deformation shape model creation means in the claims.
- step S31 the main line 10a of the wire harness 1 'is Expressed by elements C1 to C13.
- N0 to N14 represent nodes.
- step S32 the clamps 20a, 20b, 20 are used.
- the reference axes RX0, RX6, and RX14 are added to the clamp mounting nodes N0, N6, and N14, respectively, that correspond to the parts where are mounted.
- the reference shape model 1A corresponds to, for example, a shape obtained by extending the trunk line 10a straight on the jig plate without twisting. Also, the reference axes RX0, RX6, and RX14 are all It extends in the same direction from points N0, N6, N14. When there is a branch line branching from the trunk line 10a, a similar reference axis is added to a node corresponding to the branch line branch point.
- the reference axis is added after the trunk line is represented by the beam element, but the method of creating the reference shape model 1A is not limited to this. The point is that the reference shape model 1A as shown in FIG. 12 (B) is finally created.
- step S41 As in step S31, the main line of the wire harness 1 'is 10 a is represented by a plurality of beam elements C 1 to C 13.
- the plurality of beam elements C1 to C13 are connected at each node so as to correspond to the deformed shape designed in step S1.
- step S42 clamp axes AX0, AX6, and AX14 are added to the clamp mounting nodes NO, N6, and N14, respectively.
- the clamp axes AX O, AX6 and AX 14 correspond to the rotation axes of the clamps 2 Oa, 20 b and 20 c attached to the main line. Further, when there is a branch line branching from the trunk line 10a, a virtual clamp axis corresponding to the clamp axis is added to a node corresponding to the branch line branch point.
- step S 431 a tangent vector V 1 1 (referred to as a main tangent vector) to the trunk line 10 a starting from the branch line branch node N 6 and a branch line branch node N 6 are also defined.
- a tangent plane 5 including both the tangent vector V 1 2 (referred to as a branch tangent vector) to the branch line 10 b as the starting point is created.
- step S432 a vector orthogonal to the trunk tangent vector V11 on the tangent plane 5 starting from the branch node N6 is calculated as the virtual clamp axis V13.
- Step S431 and step S432 correspond to the tangential plane creation step and the virtual clamp axis calculation step in the claims, respectively.
- step S5 as shown in FIGS. 12 (C) and 12 (D), the reference shape model 1A is superimposed on the deformed shape model 1B.
- the finite element method is used for this superposition processing. That is, assuming that the reference shape model 1A satisfies the physical characteristics set in step S2 above and is forcibly displaced by the deformed shape model 1B as shown by the dotted arrow in the figure, the finite element method is used. Solution is required. Supplementally, of all the nodes, specific nodes such as NO where a clamp is provided or a branch line is branched are set as complete constraints, and the other nodes are set as full rotation and processing is performed.
- Step S5 corresponds to the polymerization calculation step and the polymerization calculation means in the claims.
- step S6 a torsion angle is calculated based on the result of the superposition. That is, as shown in FIG. 12 (D), as reference shape model 1A is superimposed on deformed shape model 1B, reference axes RXO, RX6, and RX14 also rotate. At the end of the superposition, the rotated reference axes RXO, RX 6, and RX 14 and the clamp axes AXO, AX 6, and AX 14 form predetermined angles 01, 02, and ⁇ ⁇ ⁇ 3, respectively. . This angle is calculated as the twist angle. If there is a branch line, the angle formed by the virtual clamp axis and the reference axis obtained as described above is calculated as the twist angle of the branch line. Step S6 corresponds to the torsion angle calculation step and the torsion angle calculation means in the claims.
- step S7 as shown in FIG. 12 (E), the clamp axes AX0, AX6, and AX14 are returned by the calculated torsion angles 01, ⁇ 2, 03 to obtain the reference shape.
- Each torsion angle is displayed by, for example, numbers or characters together with the reference shape graphically displayed.
- Step S7 corresponds to the display step in the claims. Display like this By doing so, the torsion angle can be visually and intuitively grasped, which is effective in designing a more appropriate jig plate, manufacturing a more efficient wire harness, and the like.
- the twist angle of the branch line and the Z or the clamp which has been considered difficult in the related art, can be easily and easily. You will be able to calculate accurately. Therefore, it is effective for designing a proper jig plate and efficiently manufacturing a wire harness.
- FIG. 14 is a flowchart illustrating a processing procedure according to the second embodiment of the present invention.
- FIGS. 15 (A) to 15 (D) are diagrams each illustrating a state in the course of the processing of FIG. 14.
- step S201 of FIG. 14 similarly to step S1 of FIG. 10, a deformed shape as shown in FIG. 15 (A) is designed, and the designed deformed shape is Output to the display device 43.
- a wire harness 1 ⁇ ⁇ including a trunk line 11 a and a plurality of branch lines 11 b 1 to 11 b 5 branched from the trunk line 11 a is assumed.
- a clamp may be attached to an intermediate portion of the trunk line 11a.
- the wire harness 1 includes, for example, a main line 11a and a plurality of branch lines 11b1 to 11b5 branching from the main line 11a in different directions. It is assumed that clamps 21a to 21g are attached to the ends of the branch wires 11b1 to 11b5.
- step S202 the physical characteristics of the wire harness 1 # are set using the input device 42.
- constraint conditions respectively corresponding to the deformed shape and a reference shape described later are also set here.
- the physical properties are, for example, the length 1, the cross-sectional area A, the second moment of area I, the second moment of area J, the density p, the Poisson's ratio ⁇ , the longitudinal elastic modulus ⁇ , and the lateral elastic modulus G described above. For these, values measured or calculated in advance as described above are used. These values are the rigidity in the above equation (6). It is related to each element in the matrix [ ⁇ ].
- the constraint conditions are the coordinates corresponding to the deformed shape of the wire harness 1 mm and the degree of freedom of constraint of the clamps 21 a to 21 g as shown in FIG.
- a finite element model corresponding to the deformed shape as shown in FIG. 15B is created based on the values set in step S202.
- This finite element model is a development of a wire-harness model having a trunk line and a branch line branching off the trunk line, as shown in the above equation (6).
- the wire harness 1 is divided into equal-length beam elements C 1 to C 16, and a finite element model is created based on these beam elements C 1 to C 18. Since the ultimate purpose is to find the torsion angle, the beam elements C 14 to C 18 corresponding to the branch lines llbl to l 1 b 5 respectively correspond to the trunk lines to simplify the calculation.
- the divided beam elements are set to have the same length as C 1 to C 13. Note that N0 to N18 represent nodes.
- Step S203 corresponds to the finite element model creation step in the claims.
- step S204 by applying the constraint conditions corresponding to the physical characteristics and the reference shape to the finite element model, the deformed shape as shown in FIG. C) Deform to the reference shape as shown in (2).
- This reference shape rides on a plane including the trunk line 11a that is straightened without twist, for example.
- Step S204 corresponds to the deformation step in the claims.
- a reference plane 6 is set assuming a jig plate used when manufacturing a wire harness, and the main line is constrained so as to ride on this reference plane 6. It is preferable to set conditions (coordinates). This is effective for designing a jig plate and manufacturing a wire harness in accordance with the actual situation.
- the trunk has the largest diameter among all the wires constituting the wire harness, and the trunk (corresponding to C1 to C13) and the next thickest branch (corresponding to C14) It is preferable that the constraint conditions (coordinates) be set so that is on the reference plane 6. This is effective for designing a jig plate, manufacturing a wire harness, and the like that are more realistic.
- the constraint condition (for example, complete constraint) is set so that the node N 14 corresponding to the next thicker branch line on the main line rides on the reference plane 6, but the node N 15 corresponding to the other branch line is set.
- ⁇ N18 is set as unconstrained (for example, all rotations are free).
- step S205 the torsion angle of each branch line is calculated.
- Each twist angle can be calculated by using coordinate information corresponding to the reference shape.
- Step S205 corresponds to the torsion angle calculation step in the claims.
- step S206 the torsion angles ⁇ 11, 012 calculated in step S205 are displayed on the display device 43 together with the reference shape.
- the model shape composed of the beam elements as shown in Fig. 15 (C) is converted into the actual shape as shown in Fig. 15 (A), and displayed on the display 43. Display it graphically.
- Each torsion angle is displayed by, for example, numbers or characters together with the reference shape graphically displayed. Note that not only the display on the display device 43 but also printing on paper by the printing device 44 may be performed. Also, the reference shape need not necessarily be displayed, and at least the torsion angle may be displayed.
- each torsion angle of the wire harness can be calculated in the same manner (corresponding to claim 10).
- an angle formed between the clamp shaft as described in the first embodiment and the reference plane 6 is determined as a torsion angle.
- This is effective in designing a jig plate and manufacturing wire harnesses that are more realistic.
- the torsion angle of a wire harness with only the above clamps attached to the main line can be calculated in the same way (corresponding to claim 11). According to this, it is effective for designing a jig plate for a wire harness where a clamp is frequently used, manufacturing a wire-to-harness, and the like.
- a finite element model is created and set. Since the shape of the gauge is deformed so that the trunk line rides on the reference plane, and the angle formed by the branch line with respect to the reference plane at that time is determined as the torsion angle, it has conventionally been difficult to accurately grasp the angle. The twist angle of the existing branch line can be clearly grasped. Therefore, it is effective in designing an appropriate jig plate and efficiently manufacturing a wire harness. Further, a third embodiment and a fourth embodiment of the present invention will be described. The third embodiment and the fourth embodiment extend the concept of the first embodiment.
- FIG. 16 is a flowchart showing a processing procedure according to the third embodiment of the present invention
- FIGS. 17 to 19 are diagrams exemplifying states in the course of the processing of FIG.
- the concept of the first embodiment is extended, and in a wire harness having a branch line branched from a main line or a wire harness in which a clamp is attached on the branch line, the twist of the branch line and the clamp is used. It is to find the corner.
- step S301 of FIG. 16 a deformed shape is designed, and the designed deformed shape is output to the display device 43.
- the deformed shape 100B is, as shown in FIG.
- a wire harness 100 that is shaped and designed so as to be routed to a predetermined portion such as a vehicle door or floor.
- the wire harness 100 is composed of, for example, a main line 100a, branch lines 100b1, 100b2, 100b3 branching from the main line 100a, these main lines 100a and branch lines 100bl. , 100 b 2, 100 b 3, and clamps 200 a to 200 f for fixing them to predetermined portions.
- an application program such as a CAD installed in advance can be used, and is drawn on the display device 43 using a mouse or a keyboard as the input device 42.
- a method of obtaining the deformed shape another method may be used.
- step S302 the physical characteristics of the wire harness 100 are set using the input device.
- the deformed shape 100 B and the standard shape The corresponding constraint conditions are also set here.
- the physical properties are, for example, the length 1, the cross-sectional area A, the second moment of area I, the second moment of area J, the density p, the Poisson's ratio ⁇ , the longitudinal elastic modulus ⁇ , and the transverse elastic modulus G described above. For these, values measured or calculated in advance as described above are used. These values relate to each element in the stiffness matrix [ ⁇ ] in the above equation (6).
- the constraint conditions are coordinates corresponding to the deformed shape and the reference shape of the wire harness 100, and the degree of freedom of the clamps 200a to 200f as shown in FIG.
- step S303 and step S304 based on the values set in step S302, as shown in FIGS. 17 and 18, respectively, the deformed shape model 100B and the reference shape Model 100 A is created. However, here, it is not necessary to display these models 100A and 100B on the display device 43.
- the reference shape model 100A and the deformed shape model 100B are based on the reference shape model 1A and the deformed shape model 1B shown in the first embodiment. More specifically, the deformed shape model 100B is shown in FIG. 17 in which the deformed shape of the main line 100a of the wire harness 100 is represented by a plurality of nodes N0, Nl, N2, N3, N4, N5, ... , N 10,..., N 16,..., N 20.
- the branch lines 100 bl, 100 b 2, and 100 b 3 of the wire harness 100 also include a plurality of nodes N 5, ′, N 55, N 10, N 109, respectively.
- N 16,..., N 1667 are represented as a combined beam element.
- the clamp mounting nodes N 0, N 13, N 20, N 55, N 103, N 109 and N 167 each have a clamp locking direction (for 200 a to 200 d) and clamp axis AX 0, AX 1 3, AX 20, AX 5 5, AX 1 03 N AX 1 09 and AX 1 6 7 defining flop rotating shaft (in the case of 200 f, 200 g) is set.
- P0, P13, P20, P55, P103, P109, and P167 show the clamp local X axis such as the insertion direction.
- the branch line branch nodes N5, N10, and N16 are points for obtaining the torsion angle of each branch line.
- RX 0 is a reference axis for determining a torsion angle
- the torsion angle of each node is represented by a rotation angle with respect to the RX 0. This RX0 is It is immovable even in combined processing.
- the reference shape model 100A has a shape 100aa, 100b1 ', which is obtained by straightening the main line 100a and the branch lines 100b1-100b3 straight without twisting on a jig plate. L 00 b 3 '.
- the clamp axes AX0, AX13, AX20, AX55, AX103, AX109 and AX167 also correspond to this.
- N20 and nodes N5, ..., N55, N10, ..., N109, and N16, ..., N167:
- Reference axes RX0, RX1, RX2, RX3, RX4, RX5, ... ⁇ RX10, ..., RX16, ..., RX20, and reference axes RX5, ..., RX55, RX10, ..., RX 109, and RX16, NX167 are set. All reference axes extend in the same direction from each node
- the nodes are equally spaced. However, the intervals between the nodes do not necessarily have to be equal, and the nodes of the deformed shape model and the reference shape model may be made to coincide with each other.
- the method of creating the reference shape model 100A and the deformed shape model 100B is basically the same as the method described in the first embodiment, and the method described in the first embodiment is extended to a wire harness having a branch line. You may think that it was done. Similar reference axes are added to nodes N5, N10, and N16 corresponding to the branch line branch points. This reference axis is also set as a virtual clamp axis corresponding to the clamp axis as shown in the first embodiment.
- Step S303 corresponds to a main wire rod deformed shape model creation step and a subwire deformed shape model creation step in the claims
- step S304 is a main wire rod reference shape model creation step and a subwire rod reference in the claims. It corresponds to the shape model creation process.
- step S305 as shown in FIG. 19, the reference shape model 10OA is superimposed on the deformed shape model 100B.
- the finite element method is used for this superposition processing. That is, a solution in the finite element method is obtained assuming that the reference shape model 10OA is forcibly displaced by the deformed shape model 100B while satisfying the physical characteristics set in the above step S2.
- Supplementally, of all nodes specific nodes such as NO where clamps are provided or branch lines are branched
- the processing is performed with the points being completely constrained and the other nodes being free to rotate.
- This superposition process is also basically the same as the method shown in the first embodiment, and it can be considered that the method shown in the first embodiment is extended to a wire harness having branch lines.
- step S306 the torsion angle is calculated based on the result of the superposition. That is, as shown in FIG. 19, as the reference shape model 100A is superimposed on the deformed shape model 100B, the reference axes RXO,..., RX20 shown in FIG. Rotate. At the end of superposition, the rotated reference axes RX 0 ', RX 13', RX 20 ', RX 55', RX 103 ', RX 109' and RX 167 'and clamp AX 0, AX 13, AX 20, AX 55, AX 103, AX 109 and AX 167 are predetermined angles ⁇ ⁇ 0, 61 3, 0 20, ⁇ 5 respectively. 5, 0103, ⁇ 109 and 0167. These angles are calculated as torsion angles. Note that reference axes (not shown) other than those illustrated here also rotate and have respective torsion angles, but are omitted here. Step S305 and step S306 correspond to the torsion angle calculation step in the claims.
- step S307 although not shown, each of the above-mentioned clamp axes AX0, AX13, AX20, AX55, A 10 3, AX 1 0 9 and AX 1 6 7 are converted to the calculated torsion angles 0 0, ⁇ 1 3, 0 2 0, 0 5 5, 0 1 0 3, ⁇ 1 0 9 and ⁇ 1 6 7 It is returned and displayed on the display device 43 together with the reference shape model 10 OA. Each torsion angle is displayed by, for example, numbers or characters together with the reference shape graphically displayed. Not only display on the display device 43 but also printing on paper by the printing device 44 may be performed. Note that the process of step S307 is not always necessary as long as the twist angle is only obtained, and may be omitted.
- each branch line 100 b:! The torsion angles at the branch nodes N5, N10, and N16 of ⁇ 100b3 are also The same can be obtained based on the clamp axis and the reference axis (corresponding to claim 15).
- the torsion angles of the branch line branching from the main line and the clamp attached on the branch line are reduced. Calculations can be made easily and accurately. Therefore, it is effective in designing an appropriate jig plate and efficiently manufacturing a wire harness.
- FIG. 20 is a flowchart illustrating a processing procedure according to the fourth embodiment of the present invention
- FIG. 21 is a diagram illustrating a result of the processing of FIG.
- FIGS. 22 (A) to 22 (C) are diagrams for explaining the propagation process on the zero-twist plane.
- the concept of the first embodiment is extended to display a zero-torsion plane so that the torsion angle of each clamp shaft can be easily grasped.
- steps S401 to S405 are respectively equivalent to steps S301 to S305 shown in FIG. I do.
- step S 406 the zero-twist plane h 100 a, h 100 b 1, h 100 b as shown in FIG. 21 2 and h 1 00 b 3 are set.
- the zero torsion planes h100a, hlOObl, h100b2, and h100b3 correspond to the main line 100a, the branch lines 100bl, 100b2, and 100b3, respectively.
- the zero torsion planes h 100 a, hl OO bl, hl OO b 2 and h 100 b 3 are connected to all the reference axes already calculated in step S405, for example, by connecting the end points of the adjacent reference axes.
- Step S406 corresponds to the zero twist plane setting step in the claims. You.
- Such a zero torsion surface can be set for a wire harness having no branch line illustrated in the first embodiment, and also for a wire harness having a branch line as shown in this embodiment. Can be set. However, in the case of a wire harness having a branch line branching from the main line, the following twist-free plane propagation processing is required.
- the line A corresponds to the main line 100a
- the line B branches off from the main line 100a and propagates the torsion-free plane of the main line 100a.
- line 100 b 1 etc. twist nodes Z al, Z at the nodes N al, Na 2, Na 3, Na 4, Na assigned to line A, respectively.
- Set a 2, Za 3, Za 4, and Za and then let the torsion-free plane of the line A segment propagate to the discontinuous line B segment.
- V b is the tangent vector of line B.
- the outer product of the normal vector Vb XZa and the vector Vb (VbXZa) X vector Vb force Zero torsion vector of the target line B segment It is Torr. In this way, the zero-torsion vector can be propagated by the zero-torsion vector propagation.
- step S407 the deformed shape 100B to which the twist-free planes h100a, hl00bl, h100b2, and h100b3 are added is clamped to each clamp.
- the axes AX0, AX13, AX20, AX55, AX103, AX109 and AX167 are displayed on the display device 43 together.
- the clamp axis to be displayed is set, for example, at the node where the clamp is attached, but other components may be displayed.
- the clamp axis may not be displayed, or the torsion angles ⁇ 0, ⁇ 13, etc. may be displayed simultaneously. May be. Not only display on the display device 43 but also printing on paper by the printing device 44 may be performed.
- Step S407 corresponds to the torsion display step in the claims.
- the superposition process is performed by using the finite element method, and the fin-shaped torsion-free planes are displayed together.
- the torsion angle of the clamp attached to the torsion-free plane can be easily grasped. Therefore, it is effective in designing an appropriate jig plate and efficiently manufacturing a wire-harness.
- the present invention is not limited to a wire-like structure such as a wire harness wired in a vehicle, and is similarly applicable to a wire-like structure wired indoors.
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- Engineering & Computer Science (AREA)
- Physics & Mathematics (AREA)
- Theoretical Computer Science (AREA)
- Mechanical Engineering (AREA)
- Computer Hardware Design (AREA)
- Evolutionary Computation (AREA)
- Geometry (AREA)
- General Engineering & Computer Science (AREA)
- General Physics & Mathematics (AREA)
- Details Of Indoor Wiring (AREA)
- Installation Of Indoor Wiring (AREA)
- Investigating Strength Of Materials By Application Of Mechanical Stress (AREA)
Abstract
Description
Claims
Priority Applications (2)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
US10/553,983 US7529638B2 (en) | 2003-05-15 | 2004-05-14 | Method of calculating twist angle in wire-like structure, apparatus for the same, and program for the same |
EP04733147A EP1624395A4 (en) | 2003-05-15 | 2004-05-14 | TORSION ANGLE CALCULATION METHOD OF A WIRE-TYPE STRUCTURE AND DEVICE AND PROGRAM THEREFOR |
Applications Claiming Priority (4)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
JP2003137294 | 2003-05-15 | ||
JP2003/137294 | 2003-05-15 | ||
JP2004011570A JP4542791B2 (ja) | 2003-05-15 | 2004-01-20 | ワイヤー様構造物におけるねじれ角計算方法、その装置及びそのプログラム |
JP2004/11570 | 2004-01-20 |
Publications (1)
Publication Number | Publication Date |
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WO2004102428A1 true WO2004102428A1 (ja) | 2004-11-25 |
Family
ID=33455477
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PCT/JP2004/006892 WO2004102428A1 (ja) | 2003-05-15 | 2004-05-14 | ワイヤー様構造物におけるねじれ角計算方法、その装置及びそのプログラム |
Country Status (5)
Country | Link |
---|---|
US (1) | US7529638B2 (ja) |
EP (1) | EP1624395A4 (ja) |
JP (1) | JP4542791B2 (ja) |
KR (1) | KR100804327B1 (ja) |
WO (1) | WO2004102428A1 (ja) |
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- 2004-05-14 KR KR1020057021360A patent/KR100804327B1/ko active IP Right Grant
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CN102629292A (zh) * | 2012-03-26 | 2012-08-08 | 河北省送变电公司 | 连接管钢梁不同平面间的斜角钢制弯计算方法 |
CN112711812A (zh) * | 2020-12-29 | 2021-04-27 | 中国航空工业集团公司西安飞机设计研究所 | 一种矩形薄壁机身大开口结构扭转变形计算方法 |
CN112711812B (zh) * | 2020-12-29 | 2022-10-11 | 中国航空工业集团公司西安飞机设计研究所 | 一种矩形薄壁机身大开口结构扭转变形计算方法 |
Also Published As
Publication number | Publication date |
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JP4542791B2 (ja) | 2010-09-15 |
KR100804327B1 (ko) | 2008-02-15 |
US7529638B2 (en) | 2009-05-05 |
JP2004362542A (ja) | 2004-12-24 |
KR20060019530A (ko) | 2006-03-03 |
US20060235644A1 (en) | 2006-10-19 |
EP1624395A4 (en) | 2010-01-27 |
EP1624395A1 (en) | 2006-02-08 |
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