Material shape simulation apparatus, material shape simulation method, and three-dimensional woven fiber component manufacturing method

Patent metadata

Field	Value
Publication number	US-10745832-B2
Application number	US-201816116086-A
Country	US
Kind code	B2
Filing date	Aug 29, 2018
Priority date	Feb 29, 2016
Publication date	Aug 18, 2020
Grant date	Aug 18, 2020

Abstract

A material shape simulation apparatus for simulating deformation of a three-dimensional woven fiber material is provided and includes: an orientation vector field generation unit generating a model shape orientation vector field on three-dimensional meshes of a model shape of a three-dimensional woven fiber material obtained by stacking sheets of two-dimensional woven fabric made of X-yarn and Y-yarn and binding them with Z-yarn; a parameterization unit that searches for a gradient vector for calculating a material shape orientation vector field, being an orientation vector field of a material shape before deformation of the model shape, from the model shape orientation vector field; and an orientation vector updating unit that updates the model shape orientation vector field by applying a condition of preserving a volume between the model shape orientation vector field and the material shape orientation vector field and a condition that neither the X-yarn nor the Y-yarn expands or contracts.

First claim

The invention claimed is:

1. A material shape simulation apparatus comprising:
a processor configured to
generate a model shape orientation vector field on three-dimensional meshes of a model shape of a three-dimensional woven fiber material which is obtained by stacking a plurality of sheets of two-dimensional woven fabric made of X-yarn extending in an X-direction and Y-yarn extending in a Y-direction and binding the sheets with Z-yarn extending in a Z-direction;
search for a gradient vector for calculating a material shape orientation vector field, which is an orientation vector field of a material shape before deformation of the model shape, from the model shape orientation vector field; and
update the model shape orientation vector field by applying a condition of preserving a volume between the model shape orientation vector field and the material shape orientation vector field and a condition that neither the X-yarn nor the Y-yarn expands or contracts,
wherein the processor is configured to search for the gradient vector by defining the gradient vector according to Formula (1) below with respect to a model space (x, y, z) and a material space (X, Y, Z)

Formula
⁢

⁢

(
1
)

∇
X

=

(

∂
X

∂
x

∂
X

∂
y

∂
X

∂
z

)

,

∇
Y

=

(

∂
Y

∂
x

∂
Y

∂
y

∂
Y

∂
z

)

,

∇
Z

=

(

∂
Z

∂
x

∂
Z

∂
y

∂
Z

∂
z

)

(
1
)

and by defining fiber directions of the model space according to Formula (2) below,

Formula
⁢

⁢

(
2
)

(

F
X
d

,

F
Y
d

,

Assignees

• Ihi Corp
• Univ Tokyo

Inventors

• Hishida Hiroyuki
• Inagaki Koichi
• Nakamura Takeshi
• Watanabe Fumiaki
• Morioka Kotaro
• Ohtake Yutaka
• Suzuki Hiromasa
• Nagai Yukie

Classifications

• G05B2219/35134

  3-D cad-cam · CPC title

• D10B2505/02

  Reinforcing materials; Prepregs · CPC title

• D03D11/00

  Double or multi-ply fabrics not otherwise provided for · CPC title

• D03C19/005 Primary

  Electronic · CPC title

• Y02P90/30

  Computing systems specially adapted for manufacturing · CPC title