A Numerical Method for Distributed Parameter Structural Optimization Problems with Repeated Eigenvalues
- 1 January 1982
- journal article
- research article
- Published by Taylor & Francis in Journal of Structural Mechanics
- Vol. 10 (2) , 191-207
- https://doi.org/10.1080/03601218208907410
Abstract
A numerical method for solving distributed parameter structural optimization problems in which repeated eigenvalues may occur is formulated. Recent results on directional differentiability of repeated eigenvalues are used to develop a generalized steepest descent method for structural optimization. The algorithm is shown to overcome technical difficulties associated with nondifferentiability of repeated eigenvalues. The method is used to optimize design of a clamped-clamped column in which a repeated eigenvalue occurs.Keywords
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