Optimal structural design considering flexibility

Shinji Nishiwaki, Seungjae Min, Jeonghoon Yoo, Noboru Kikuchi

Research output: Contribution to journalArticle

64 Citations (Scopus)

Abstract

A topology optimization method based on the homogenization method (the homogenization design method) has been successfully applied to a variety of optimization problems such as the stiffness maximization problem and the eigen-frequency maximization problem. In this study, a methodology to obtain the optimal structure design considering flexibility is developed as a new extension of the homogenization design method. First, flexibility is formulated using the mutual energy concept. Second, a new multi-objective function is proposed to obtain optimal solutions incorporating flexibility and stiffness. Next, the topology optimization procedure is constructed using the homogenization method and sequential linear programming (SLP). Finally, some examples are presented to confirm that the methodology presented here can provide flexible structures satisfying the problem specifications.

Original languageEnglish
Pages (from-to)4457-4504
Number of pages48
JournalComputer Methods in Applied Mechanics and Engineering
Volume190
Issue number34
DOIs
StatePublished - 2001 May 25

Fingerprint

structural design
homogenizing
Structural design
Homogenization method
flexibility
Shape optimization
Stiffness
optimization
stiffness
topology
Flexible structures
methodology
linear programming
Linear programming
Specifications
specifications
energy

Cite this

Nishiwaki, Shinji ; Min, Seungjae ; Yoo, Jeonghoon ; Kikuchi, Noboru. / Optimal structural design considering flexibility. In: Computer Methods in Applied Mechanics and Engineering. 2001 ; Vol. 190, No. 34. pp. 4457-4504.
@article{cc670c61e00f4532a8bbc1bdaf2d57e7,
title = "Optimal structural design considering flexibility",
abstract = "A topology optimization method based on the homogenization method (the homogenization design method) has been successfully applied to a variety of optimization problems such as the stiffness maximization problem and the eigen-frequency maximization problem. In this study, a methodology to obtain the optimal structure design considering flexibility is developed as a new extension of the homogenization design method. First, flexibility is formulated using the mutual energy concept. Second, a new multi-objective function is proposed to obtain optimal solutions incorporating flexibility and stiffness. Next, the topology optimization procedure is constructed using the homogenization method and sequential linear programming (SLP). Finally, some examples are presented to confirm that the methodology presented here can provide flexible structures satisfying the problem specifications.",
author = "Shinji Nishiwaki and Seungjae Min and Jeonghoon Yoo and Noboru Kikuchi",
year = "2001",
month = "5",
day = "25",
doi = "10.1016/S0045-7825(00)00329-7",
language = "English",
volume = "190",
pages = "4457--4504",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0045-7825",
number = "34",

}

Optimal structural design considering flexibility. / Nishiwaki, Shinji; Min, Seungjae; Yoo, Jeonghoon; Kikuchi, Noboru.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 190, No. 34, 25.05.2001, p. 4457-4504.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Optimal structural design considering flexibility

AU - Nishiwaki, Shinji

AU - Min, Seungjae

AU - Yoo, Jeonghoon

AU - Kikuchi, Noboru

PY - 2001/5/25

Y1 - 2001/5/25

N2 - A topology optimization method based on the homogenization method (the homogenization design method) has been successfully applied to a variety of optimization problems such as the stiffness maximization problem and the eigen-frequency maximization problem. In this study, a methodology to obtain the optimal structure design considering flexibility is developed as a new extension of the homogenization design method. First, flexibility is formulated using the mutual energy concept. Second, a new multi-objective function is proposed to obtain optimal solutions incorporating flexibility and stiffness. Next, the topology optimization procedure is constructed using the homogenization method and sequential linear programming (SLP). Finally, some examples are presented to confirm that the methodology presented here can provide flexible structures satisfying the problem specifications.

AB - A topology optimization method based on the homogenization method (the homogenization design method) has been successfully applied to a variety of optimization problems such as the stiffness maximization problem and the eigen-frequency maximization problem. In this study, a methodology to obtain the optimal structure design considering flexibility is developed as a new extension of the homogenization design method. First, flexibility is formulated using the mutual energy concept. Second, a new multi-objective function is proposed to obtain optimal solutions incorporating flexibility and stiffness. Next, the topology optimization procedure is constructed using the homogenization method and sequential linear programming (SLP). Finally, some examples are presented to confirm that the methodology presented here can provide flexible structures satisfying the problem specifications.

UR - http://www.scopus.com/inward/record.url?scp=0035946927&partnerID=8YFLogxK

U2 - 10.1016/S0045-7825(00)00329-7

DO - 10.1016/S0045-7825(00)00329-7

M3 - Article

AN - SCOPUS:0035946927

VL - 190

SP - 4457

EP - 4504

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0045-7825

IS - 34

ER -