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Buckling and postbuckling analysis of rectangular plates resting on elastic foundations with the use of the spectral method

Stavroulakis Georgios, Aliki D. Muradova

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URI: http://purl.tuc.gr/dl/dias/B6B9954F-55E0-4A20-BF6F-8BD80E6C24A4
Year 2012
Type of Item Peer-Reviewed Journal Publication
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Bibliographic Citation Aliki D. Muradova , Georgios E. Stavroulakis, "Buckling and postbuckling analysis of rectangular plates resting on elastic foundations with the use of the spectral method", Comp. Meth. in Applied Mech.and Engin.,vol.205–208,pp.213–220, Jan. 2012.doi:10.1016/j.cma.2011.02.013 https://doi.org/10.1016/j.cma.2011.02.013
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Summary

Buckling and contact effects for a von Kármán’s plate, unilaterally connected with a nonlinear elastic tensionless foundation are investigated. The foundation is modeled as nonlinear elastic (Winkler-type) and shear deformable (Pasternak-type) medium. Compressive and tensile loading forces along the edges of the plate are considered. The spectral method is developed for the discretization of the boundary value problems. A parametric analysis of compressive and tensile loadings is given. Bifurcation phenomena of the solution of the equations are explored. The iterative scheme with the path-following algorithm is employed to solve the resulting system of nonlinear algebraic equations. Numerical results are presented.

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