A Method for Determining the Optimal Direction of the Principal Moment of Inertia in Frame Element Cross-Sections

Akihiro Takezawa; Shinji Nishiwaki; Kazuhiro Izui; Masataka Yoshimura

doi:10.1115/detc2004-57369

A Method for Determining the Optimal Direction of the Principal Moment of Inertia in Frame Element Cross-Sections

Akihiro Takezawa^*, Shinji Nishiwaki, Kazuhiro Izui, Masataka Yoshimura

^*Corresponding author for this work

Research output: Contribution to conference › Paper › peer-review

Abstract

This paper discusses a method to determine the optimal direction of the principal moment of inertia in frames element cross-sections for the design of mechanical structures at the conceptual design phase. The direction in each frame element is determined by maximizing the structural stiffness. Construction of the optimization procedure is based on the KKT-conditions and the balance of bending moments applied to each frame element. This method is implemented as an application in a structural topology optimization procedure that uses frame elements. Finally, several examples are presented to confirm that the proposed method is useful for the topology optimization method discussed here.

Original language	English
Pages	657-664
Number of pages	8
DOIs	https://doi.org/10.1115/detc2004-57369
Publication status	Published - 2004
Externally published	Yes
Event	2004 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Salt Lake City, UT, United States Duration: 2004 Sept 28 → 2004 Oct 2

Conference

Conference	2004 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Country/Territory	United States
City	Salt Lake City, UT
Period	04/9/28 → 04/10/2

ASJC Scopus subject areas

Modelling and Simulation
Mechanical Engineering
Computer Science Applications
Computer Graphics and Computer-Aided Design

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10.1115/detc2004-57369

Cite this

Takezawa, A., Nishiwaki, S., Izui, K., & Yoshimura, M. (2004). A Method for Determining the Optimal Direction of the Principal Moment of Inertia in Frame Element Cross-Sections. 657-664. Paper presented at 2004 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Salt Lake City, UT, United States. https://doi.org/10.1115/detc2004-57369

A Method for Determining the Optimal Direction of the Principal Moment of Inertia in Frame Element Cross-Sections. / Takezawa, Akihiro; Nishiwaki, Shinji; Izui, Kazuhiro et al.
2004. 657-664 Paper presented at 2004 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Salt Lake City, UT, United States.

Research output: Contribution to conference › Paper › peer-review

Takezawa, A, Nishiwaki, S, Izui, K & Yoshimura, M 2004, 'A Method for Determining the Optimal Direction of the Principal Moment of Inertia in Frame Element Cross-Sections', Paper presented at 2004 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Salt Lake City, UT, United States, 04/9/28 - 04/10/2 pp. 657-664. https://doi.org/10.1115/detc2004-57369

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author = "Akihiro Takezawa and Shinji Nishiwaki and Kazuhiro Izui and Masataka Yoshimura",

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AB - This paper discusses a method to determine the optimal direction of the principal moment of inertia in frames element cross-sections for the design of mechanical structures at the conceptual design phase. The direction in each frame element is determined by maximizing the structural stiffness. Construction of the optimization procedure is based on the KKT-conditions and the balance of bending moments applied to each frame element. This method is implemented as an application in a structural topology optimization procedure that uses frame elements. Finally, several examples are presented to confirm that the proposed method is useful for the topology optimization method discussed here.

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A Method for Determining the Optimal Direction of the Principal Moment of Inertia in Frame Element Cross-Sections

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ASJC Scopus subject areas

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