Stabilization of geometrically nonlinear topology optimization by the Levenberg–Marquardt method

被引：0
作者：
Atsushi Kawamoto
机构：
[1] Toyota Central R&D Labs.,
[2] Inc.,undefined
来源：
Structural and Multidisciplinary Optimization | 2009年 / 37卷
关键词：
Mechanism design; Topology optimization; Geometric nonlinearity;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper deals with the design of compliant mechanisms in a continuum-based finite-element representation. Because the displacements of mechanisms are intrinsically large, the geometric nonlinearity is essential for designing such mechanisms. However, the consideration of the geometric nonlinearity may cause some instability in topology optimization. The problem is in the analysis part but not in the optimization part. To alleviate the analysis problem and eventually stabilize the optimization process, this paper proposes to apply the Levenberg–Marquardt method to the nonlinear analysis of compliant mechanisms.
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页码：429 / 433
页数：4
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