Buckling and free vibration of elastic plates using simple and mixed shear deformation theories

DOI10.1007/BF01246732zbMath0976.74025MaRDI QIDQ5938191

Ashraf M. Zenkour

Publication date: 18 July 2001

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

zbMATH Keywords

transverse shearnatural frequenciesbuckling loadsanisotropic platesmixed shear deformable theoriesrectangular flat platesReissner-Mindlin's thick plate theorysimple shear deformation theories

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Stress concentrations, singularities in solid mechanics (74G70)

Related Items (12)

Boundary value problems for anisotropic plates with internal line hinges ⋮ Vibration of nonclassical shear beams with Winkler-Pasternak-type restraint ⋮ Exact solutions for the in-plane vibrations of rectangular Mindlin plates using Helmholtz decomposition ⋮ Bending of orthotropic plates resting on Pasternak's foundations using mixed shear deformation theory ⋮ On the simple and mixed first-order theories for functionally graded plates resting on elastic foundations ⋮ Exact mixed-classical solutions for the bending analysis of shear deformable rectangular plates. ⋮ Free vibration of thermo-elastic microplate based on spatiotemporal fractional-order derivatives with nonlocal characteristic length and time ⋮ On the simple and mixed first-order theories for plates resting on elastic foundations ⋮ Free vibration analysis of plates taking into account rotary inertia and shear deformation via three alternative theories: a Lévy-type solution ⋮ New analytic free vibration solutions of orthotropic rectangular plates by a novel symplectic approach ⋮ On new analytic free vibration solutions of rectangular thin cantilever plates in the symplectic space ⋮ A unified size-dependent plate model based on nonlocal strain gradient theory including surface effects

Cites Work

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