Topology optimization with CAMD for structures undergoing finite deformation

K. Matsui; Kenjiro Terada; S. Nishiwaki

Topology optimization with CAMD for structures undergoing finite deformation

K. Matsui, Kenjiro Terada, S. Nishiwaki

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

A new method for topology optimization (CAMD method) is extended to the stiffness design problem of a structure undergoing finite deformation. In this methodology, the continuous distribution of microstructures, or equivalently, design variables, is approximated using the nodal design variables and standard shape functions, in the context of FE discretization. After summarizing the basic settings for the finite deformation stiffness optimization problem and the CAMD method, we formulate a stiffness design problem for nonlinear solids. A representative numerical example is presented to show the validity and efficiency of the proposed method. In particular, we clarified the mechanism that generates optimal structures while inhibiting structural instabilities such as snap-through.

Original language	English
Title of host publication	IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials
Subtitle of host publication	Status and Perspectives
Pages	333-342
Number of pages	10
Publication status	Published - 2006 Dec 1
Event	IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials: Status and Perspectives - Rungstedgaard, Denmark Duration: 2005 Oct 26 → 2005 Oct 29

Publication series

Name	Solid Mechanics and its Applications
Volume	137
ISSN (Print)	1875-3507

Other

Other	IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials: Status and Perspectives
Country/Territory	Denmark
City	Rungstedgaard
Period	05/10/26 → 05/10/29

Keywords

Finite deformation
Homogenization design method
Topology optimization

ASJC Scopus subject areas

Aerospace Engineering
Automotive Engineering
Civil and Structural Engineering
Mechanical Engineering
Acoustics and Ultrasonics

Cite this

Topology optimization with CAMD for structures undergoing finite deformation. / Matsui, K.; Terada, Kenjiro; Nishiwaki, S.
IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials: Status and Perspectives. 2006. p. 333-342 (Solid Mechanics and its Applications; Vol. 137).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Matsui, K, Terada, K & Nishiwaki, S 2006, Topology optimization with CAMD for structures undergoing finite deformation. in IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials: Status and Perspectives. Solid Mechanics and its Applications, vol. 137, pp. 333-342, IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials: Status and Perspectives, Rungstedgaard, Denmark, 05/10/26.

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abstract = "A new method for topology optimization (CAMD method) is extended to the stiffness design problem of a structure undergoing finite deformation. In this methodology, the continuous distribution of microstructures, or equivalently, design variables, is approximated using the nodal design variables and standard shape functions, in the context of FE discretization. After summarizing the basic settings for the finite deformation stiffness optimization problem and the CAMD method, we formulate a stiffness design problem for nonlinear solids. A representative numerical example is presented to show the validity and efficiency of the proposed method. In particular, we clarified the mechanism that generates optimal structures while inhibiting structural instabilities such as snap-through.",

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AB - A new method for topology optimization (CAMD method) is extended to the stiffness design problem of a structure undergoing finite deformation. In this methodology, the continuous distribution of microstructures, or equivalently, design variables, is approximated using the nodal design variables and standard shape functions, in the context of FE discretization. After summarizing the basic settings for the finite deformation stiffness optimization problem and the CAMD method, we formulate a stiffness design problem for nonlinear solids. A representative numerical example is presented to show the validity and efficiency of the proposed method. In particular, we clarified the mechanism that generates optimal structures while inhibiting structural instabilities such as snap-through.

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KW - Homogenization design method

KW - Topology optimization

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Topology optimization with CAMD for structures undergoing finite deformation

Abstract

Publication series

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Keywords

ASJC Scopus subject areas

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