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Optimal structural design under multiple eigenvalue constraints. (English) Zbl 0544.73117

The paper treats effects of multiple eigenvalues in optimal structural design. Restating the single eigenvalue optimality problem, multiple eigenvalue problems are discussed. Specific necessary and sufficient conditions for double eigenvalues are given and geometrically interpreted. Numerical and analytical solutions are calculated for some examples in mechanics.
Reviewer: H.-J.Mieth

MSC:

74P99 Optimization problems in solid mechanics
74G60 Bifurcation and buckling
49R50 Variational methods for eigenvalues of operators (MSC2000)
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