An optimality criterion for shape optimization in eigenfrequency problems

被引：0
|
作者：
P. Pedersen
N.L. Pedersen
机构：
[1] Technical University of Denmark,Department of Mechanical Engineering, Solid Mechanics
[2] Aalborg University,Institute of Mechanical Engineering
来源：
Structural and Multidisciplinary Optimization | 2005年 / 29卷
关键词：
Optimality criteria; Parameterization; Plate vibrations; Shape optimization;
D O I：
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学科分类号：
摘要：
For a broad class of static problems an optimality criterion of constant energy density at the designed boundary is known. In the present paper we prove a similar criterion for eigenfrequency problems. This optimality criterion serves as the tool for more basic understanding and for idealized reference cases as well as the basis for recursive procedures. Eigenfrequencies for in-plane vibrations as well as for out-of-plane vibrations of plates are optimized. The focus is on simplicity and multiple eigenfrequencies are not considered.
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页码：457 / 469
页数：12
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