Journal article
Systematic occurrence of repeated eigenvalues in structural optimization
Journal of optimization theory and applications, Vol.38(2), pp.251-274
10/1982
DOI: 10.1007/BF00934087
Abstract
Examples of finite-dimensional structural design problems with constraints on natural frequency and buckling are used to demonstrate that repeated eigenvalues may be expected to occur when a structure is optimized. It is shown that a repeated eigenvalue is not generally differentiable with respect to design variables. Directional derivatives are shown to exist, and a method of calculating directional derivatives is given. Necessary conditions of optimality are derived and applied to a vibration optimization problem. Extensions of the theory to distributed-parameter structures and numerical methods are outlined.
Details
- Title: Subtitle
- Systematic occurrence of repeated eigenvalues in structural optimization
- Creators
- E. J HaugK. K Choi
- Resource Type
- Journal article
- Publication Details
- Journal of optimization theory and applications, Vol.38(2), pp.251-274
- DOI
- 10.1007/BF00934087
- ISSN
- 0022-3239
- eISSN
- 1573-2878
- Language
- English
- Date published
- 10/1982
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984064212502771
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