Journal article
An iterative method for finite dimensional structural optimization problems with repeated eigenvalues
International journal for numerical methods in engineering, Vol.19(1), pp.93-112
01/1983
DOI: 10.1002/nme.1620190110
Abstract
A numerical method for solving finite dimensional structural optimization problems with constraints on natural frequency and on buckling is formulated. The method treats nondifferentiable repeated eigenvalues that have been shown to systematically arise in structural optimization. Recent results on differentiability of eigenvalues are used to develop a generalized gradient projection method for structural optimization. The algorithm is shown to overcome technical difficulties associated with nondifferentiability of repeated eigenvalues. The method is used to solve buckling and vibration optimization problems in which repeated eigenvalues occur.
Details
- Title: Subtitle
- An iterative method for finite dimensional structural optimization problems with repeated eigenvalues
- Creators
- Kyung K ChoiEdward J HaugHwal G Seong
- Resource Type
- Journal article
- Publication Details
- International journal for numerical methods in engineering, Vol.19(1), pp.93-112
- Publisher
- John Wiley & Sons, Ltd; New York
- DOI
- 10.1002/nme.1620190110
- ISSN
- 0029-5981
- eISSN
- 1097-0207
- Number of pages
- 20
- Language
- English
- Date published
- 01/1983
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984064587902771
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