Sufficient conditions for an extremum in eigenvalue optimization problems

DOI10.1016/0021-8928(84)90016-9zbMath0586.73149OpenAlexW2082395113MaRDI QIDQ1071583

Alexander P. Seyranian, Alexander S. Bratus'

Publication date: 1985

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(84)90016-9

zbMATH Keywords

multiplicitydifferential operatorsnatural vibrationsfundamental frequencycritical buckling forceSufficient conditionsdiscrete and continuous systemslocal extremum for single and double eigenvaluesmaximizing the minimum eigenvalue of selfadjoint matrices

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Bifurcation and buckling (74G60) Optimization problems in solid mechanics (74P99) Variational methods for eigenvalues of operators (49R05)

Related Items (1)

On the spectrum of a multipoint boundary value problem for a fourth-order equation

Cites Work

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• On unimodal and bimodal optimal design of funicular arches
• Systematic occurrence of repeated eigenvalues in structural optimization
• Optimal layout of cantilever trusses
• On single and bimodal optimum buckling loads of clamped columns
• Optimal design of vibrating circular plates
• Strongest Columns and Isoperimetric Inequalities for Eigenvalues
• Problems of Optimal Structural Design

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