The sufficient conditions for an extremum in problems of optimizing the shapes of elastic plates

DOI10.1016/0021-8928(85)90053-XzbMath0604.73093MaRDI QIDQ1083288

Alexander S. Bratus'

Publication date: 1985

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

zbMATH Keywords

optimal designNecessary and sufficient conditionsintegral estimatemaximize the fundamental free vibrations frequencymaximum growth of second derivativesminimization of plate weightminimize the strain potential energyreciprocal problemsthickness distributionsweak local extremum

Mathematics Subject Classification ID

Plates (74K20) Optimization problems in solid mechanics (74P99)

Related Items

Design of circular cylindrical shells of minimum weight with fixed natural oscillation frequencies

Cites Work

• A new model for thin plates with rapidly varying thickness
• Optimal layout of cantilever trusses
• Optimal design of vibrating circular plates
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