Το work with title Buckling and postbuckling analysis of rectangular plates resting on elastic foundations with the use of the spectral method by Stavroulakis Georgios, Aliki D. Muradova is licensed under Creative Commons Attribution 4.0 International
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
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.