Some Remarks on Duality in Linear Vibration of Minimum Surface Membranes

DOI10.1002/ZAMM.19950750423zbMath0841.73040OpenAlexW2066227333MaRDI QIDQ4847489

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Publication date: 18 July 1996

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19950750423

zbMATH Keywords

natural frequenciesfree vibrationnon-orthogonal coordinates

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Cites Work

• Some variational formulations for minimum surfaces
• A contribution to the numerical approximation of minimal surfaces
• On approximating extremals of functionals. II: Theory and generalizations related to boundary value problems for nonlinear differential equations
• Dualities in Free Vibration of Minimum Surface Membranes
• Numerical Solution of Plateau's Problem by a Finite Element Method

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