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 language | English |
|---|---|
| Pages (from-to) | 4457-4504 |
| Number of pages | 48 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 190 |
| Issue number | 34 |
| DOIs | |
| Publication status | Published - 2001 May 25 |
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All Science Journal Classification (ASJC) codes
- Computational Mechanics
- Mechanics of Materials
- Mechanical Engineering
- Physics and Astronomy(all)
- Computer Science Applications
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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 journal › Article
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
UR - http://www.scopus.com/inward/citedby.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 - 0374-2830
IS - 34
ER -