A level-set method for vibration and multiple loads structural optimization

被引：172

作者：

Allaire, G ^{[1
]}

Jouve, F ^{[1
]}

机构：

[1] Ecole Polytech, Ctr Math Appl, UMR 7641, F-91128 Palaiseau, France

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2005年 / 194卷 / 30-33期

关键词：

shape and topology optimization; shape derivative; level-set; eigenfrequency; multiple loads;

D O I：

10.1016/j.cma.2004.12.018

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We extend the level-set method for shape and topology optimization to new objective functions such as eigenfrequencies and multiple loads. This method is based on a combination of the classical shape derivative and of the Osher-Sethian level-set algorithm for front propagation. In two and three space dimensions we maximize the first eigenfrequency or we minimize a weighted sum of compliances associated to different loading configurations. The shape derivative is used as an advection velocity in a Hamilton-Jacobi equation for changing the shape. This level-set method is a low-cost shape capturing algorithm working on a fixed Eulerian mesh and it can easily handle topology changes. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：3269 / 3290

页数：22

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