Nonlinear axisymmetric response of orthotropic thin truncated conical and spherical caps

DOI10.1007/BF01302946zbMath0586.73093MaRDI QIDQ1071576

P. C. Dumir

Publication date: 1986

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

Galerkin methodapproximate analytical solutionDonnell type equationseffect of various parameterslarge deflection axisymmetric responseNonlinear free vibration responseone term mode shapepolar orthotropic thin truncated conical and spherical shallow capsuniformly distributed static and step function loads

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Membranes (74K15)

Related Items (3)

Nonlinear vibration of symmetrically laminated spherical caps with flexible supports ⋮ Nonlinear vibrations of orthotropic shallow shells of revolution ⋮ Large amplitude vibration of heated corrugated circular plates with shallow sinusoidal corrugations

Cites Work

• Dynamic buckling of isotropic and orthotropic shallow spherical cap with circular hole
• Axisymmetric static and dynamic buckling of orthotropic shallow spherical cap with circular hole
• Axisymmetric static and dynamic buckling of orthotropic truncated shallow conical caps

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