Nonlinear analysis of doubly curved symmetrically laminated shallow shells with rectangular planform

DOI10.1007/BF00535935zbMath0661.73040OpenAlexW105333507MaRDI QIDQ3811838

No author found.

Publication date: 1988

Published in: Ingenieur-Archiv (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00535935

zbMATH Keywords

method of harmonic balancetime-dependent coefficientspost-bucklingamplitude-frequency responsesingle-mode approximationWinkler-Pasternak elastic foundationnonlinear free vibrationrectangular planformGeneralized double Fourier seriesdoubly curved, symmetrically laminated, imperfect shallow shellsdynamic Marguerre-type nonlinear equationsmulti- mode solutionone-term approximation for transverse displacement

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Composite and mixture properties (74E30) Bifurcation and buckling (74G60) Membranes (74K15)

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Snapthrough response of doubly curved laminated shells for pressure sensing applications, State vector computational technique for three-dimensional acoustic sound propagation through doubly curved thick structure, Nonlinear vibration of symmetrically laminated spherical caps with flexible supports, Numerical methods for thermally stressed shallow shell equations

Cites Work

• Unnamed Item
• Nonlinear free vibration and postbuckling of symmetrically laminated orthotropic imperfect shallow cylindrical panels with two adjacent edges simply supported and the other edges clamped
• Large amplitude vibration of orthotropic elliptical plates
• Bending of elliptical orthotropic plates with large deflection
• Non-linear dynamic response of a doubly curved shallow shell on an elastic foundation
• Influence of Geometric Imperfections and In-Plane Constraints on Nonlinear Vibrations of Simply Supported Cylindrical Panels
• Influence of Large Amplitudes on Flexural Vibrations of Elastic Plates
• Non-linear vibrations of a shallow cylindrical panel on a non-linear elastic foundation
• Vibrations of Rectangular Plates With Nonuniform Elastic Edge Supports
• Non-linear vibrations of a shallow cylindrical panel on an elastic foundation
• Post-Buckling Behaviour of Rectangular Orthotropic Plates
• Non-linear flexural vibrations of orthotropic rectangular plates
• Analysis of Heterogeneous Anisotropic Plates
• Curvature effects on shallow shell vibrations
• The free vibration of rectangular plates