A BEM-based meshless solution to buckling and vibration problems of orthotropicplates

DOI10.1016/j.enganabound.2013.01.007zbMath1297.74159OpenAlexW2124361863MaRDI QIDQ463650

Aristophanes J. Yiotis, George C. Tsiatas

Publication date: 17 October 2014

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2013.01.007

zbMATH Keywords

free vibrationsboundary element methodbucklingmeshless methodsorthotropic plateanalog equation method

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Boundary element methods applied to problems in solid mechanics (74S15) Bifurcation and buckling (74G60) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (6)

Nonlinear bending analysis of nonlocal nanoplates with general shapes and boundary conditions by the boundary-only method ⋮ Stability analysis of the thin plates with arbitrary shapes subjected to non-uniform stress fields using boundary element and radial integration methods ⋮ An analytical symplectic approach to the vibration analysis of orthotropic graphene sheets ⋮ Stress concentration at the circular hole of cyclically bent layered composite plate within the framework of a moment theory of thermoviscoelasticity ⋮ Size effect on the static, dynamic and buckling analysis of orthotropic Kirchhoff-type skew micro-plates based on a modified couple stress theory: comparison with the nonlocal elasticity theory ⋮ Buckling and vibration analysis of non-homogeneous rectangular Kirchhoff plates resting on two-parameter foundation

Cites Work

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• On the use of orthogonal polynomials in the Rayleigh-Ritz method for the study of the flexural vibration and buckling of isotropic and orthotropic rectangular plates
• Vibration and stability of orthotropic rectangular plates
• The direct boundary element method in plate bending
• The radial integration method applied to dynamic problems of anisotropic plates
• The analog equation method for large deflection analysis of heterogeneous orthotropic membranes: A boundary-only solution.

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