Bimodal solutions in eigenvalue optimization problems

DOI10.1016/0021-8928(83)90081-3zbMath0569.47004OpenAlexW2027938131MaRDI QIDQ1061359

Alexander P. Seyranian, Alexander S. Bratus'

Publication date: 1984

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(83)90081-3

zbMATH Keywords

maximizing the minimum eigenvalue of a self-adjoint operator depending smoothly on a variableoptimal design of structuresoscillations of elastic systems

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Stability for problems in linear vibration theory (70J25) Variational methods for eigenvalues of operators (49R05)

Related Items (5)

Bifurcation and post-buckling analysis of bimodal optimum columns ⋮ The properties of solutions of a class of isoperimetric problems of stability optimization ⋮ Multiple eigenvalues in optimization problems ⋮ Topological design of freely vibrating continuum structures for maximum values of simple and multiple eigenfrequencies and frequency gaps ⋮ The Lagrange problem on an optimal column: old and new results

Cites Work

• On unimodal and bimodal optimal design of funicular arches
• Systematic occurrence of repeated eigenvalues in structural optimization
• On single and bimodal optimum buckling loads of clamped columns
• Homogeneous functionals and structural optimization problems
• Non-stationary optimality conditions in structural design
• Optimum design of Beck's column
• Optimizing distributed structures for maximum flutter load
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