Optimal Forms of Shallow Shells With Circular Boundary, Part 1: Maximum Fundamental Frequency

DOI10.1115/1.3167668zbMATH Open0551.73086OpenAlexW2062523904MaRDI QIDQ3343591

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Publication date: 1984

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

Full work available at URL: https://doi.org/10.1115/1.3167668

zbMATH Keywords

iterative proceduresurface areacircular boundaryuniform thicknessbimodal formulationoptimal formsaxisymmetric shell form which maximizes the fundamental frequency of vibrationclamped and simply supported boundary conditionsThin, shallow, elastic shells

Mathematics Subject Classification ID

Membranes (74K15) Optimization problems in solid mechanics (74P99)

Related Items (6)

Analysis of two-way snap of shells of revolution ⋮ On the optimality conditions in the weight minimization problem for a shell of revolution at a given vibration frequency ⋮ On axisymmetric vibration of shallow spherical shells with fixed circular cutout ⋮ Optimal Forms of Shallow Shells With Circular Boundary, Part 3: Maximum Enclosed Volume ⋮ Shapes of drums with lowest base frequency under non-isotropic perimeter constraints ⋮ An optimal design for the maximum fundamental frequency of laminated shallow shells

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