The simply supported rectangular plate: An exact, three dimensional, linear elasticity solution

DOI10.1007/BF00041426zbMath0568.73066MaRDI QIDQ1060612

Mark Levinson

Publication date: 1985

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

boundary conditionsarbitrary thicknessclassical Navier solutiondouble Fourier sine seriesexact three dimensional solutionlimit of the present solutionlinear theory of elastostaticsplate thickness aspect ratio approaches zeropointwise mannerreduced to pair of coupled linear ordinary differential equationssemi-inverse fashionset of coupled nonlinear differential equationstransversely loaded, simply supported rectangular plate

Mathematics Subject Classification ID

Plates (74K20) Series solutions to PDEs (35C10) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

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Cites Work

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• A novel approach to thick plate theory suggested by studies in foundation theory
• Thick rectangular plates. I. The generalized Navier solution
• Generalized Vlasov-Jones foundation model. A foundation of grade 4
• On Bending of Curved Thin-Walled Tubes
• Verallgemeinerte Theorie der Plattenstatik

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