Transverse vibration and buckling analysis of rectangular plate under arbitrary in-plane loads

DOI10.1007/S00707-023-03601-7zbMath1523.74046OpenAlexW4377094498MaRDI QIDQ6133514

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Publication date: 24 July 2023

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

Full work available at URL: https://doi.org/10.1007/s00707-023-03601-7

zbMATH Keywords

Ritz methodFourier seriesChebyshev polynomialminimal potential energy principle

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Bifurcation and buckling (74G60) Numerical and other methods in solid mechanics (74S99)

Cites Work

• An approximate solution of eigen-frequencies of transverse vibration of rectangular plates with elastical restraints
• Exact solutions for vibration and buckling of an SS-C-SS-C rectangular plate loaded by linearly varying in-plane stresses
• Thermal stress analysis of orthotropic plate containing a rectangular hole using complex variable method
• Hybrid uncertainty analysis of functionally graded plates via multiple-imprecise-random-field modelling of uncertain material properties
• Buckling analysis of skew and circular stiffened plates using the Galerkin meshless method
• Buckling analysis and dynamic response of FGM sandwich cylindrical panels in thermal environments using nonlocal strain gradient theory
• Fracture analysis of functionally graded multilayer graphene nanoplatelets-reinforced composite strips
• Exact solutions for the buckling of rectangular plates having linearly varying in-plane loading on two opposite simply supported edges
• Size-dependent couple stress natural frequency analysis via a displacement-based variational method for two- and three-dimensional problems
• Geometrically nonlinear analysis and vibration of in-plane-loaded variable angle tow composite plates and shells

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