Nonlinear dynamic and static analysis of laminated anisotropic thick circular plates

DOI10.1007/BF01173623zbMath0696.73023OpenAlexW2000699999MaRDI QIDQ911343

N. E. Zubov

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf01173623

zbMATH Keywords

method of harmonic balancenonlinear ordinary differential equationGalerkin procedureHamilton's principleamplitude-frequency responsedynamic behaviormovablesingle-mode analysistransverse displacementbasic equationsclamped laminated circular platescross-ply graphite-epoxy circular platesgenerally laminated circular plateimmovable inplane boundary conditionslaminated angle-plynonlinear free flexural vibrationnonlinear shear-deformable theoryrectilinearly orthotropic layersstatic large-deflection behaviortwo in-plane displacementsTwo inplane equilibrium equations

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Anisotropy in solid mechanics (74E10) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Composite and mixture properties (74E30)

Related Items (1)

Periodic and chaotic dynamics of composite laminated piezoelectric rectangular plate with one-to-two internal resonance

Cites Work

• Dynamic and static nonlinear analysis of cylindrically orthotropic circular plates with nonuniform edge constraints
• Nonlinear vibrations of elastic circular plates exhibiting rectilinear orthotropy
• Large deflection static and dynamic analysis of isotropic and orthotropic annular plates
• Nonlinear dynamic analysis of orthotropic circular plates
• Large-Amplitude Oscillations of Unsymmetrically Laminated Anisotropic Rectangular Plates Including Shear, Rotatory Inertia, and Transverse Normal Stress
• Large amplitude axisymmetric vibrations of orthotropic circular plates elastically restrained against rotation
• Finite element formulation for the large amplitude free vibrations of beams and orthotropic circular plates
• Non-linear oscillations of elastic orthotropic annular plates of variable thickness
• Axisymmetric non-linear oscillations of isotropic layered circular plates

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