DOI: 10.5176/2301-394X_ACE18.164
Authors: Colin G. Perry and *Y. Jane Liu
Abstract:
In this study, a methodology of Groebner bases combined with the energy method is developed for geometrically nonlinear analysis of thin plates on a Pasternak foundation. An analytical expression for the large deflection of a thin rectangular isotropic plate is derived by the proposed methodology. Parametric studies are carried out for both the Winkler foundation and the Pasternak foundation models with varying foundation properties. The predicted large bending deflections by using the analytical expression are compared with numerical results generated by using ANSYS, a commercial finite element software and have been found to be in very good agreement for both linear and nonlinear analysis.
Keywords: Geometrically nonlinear analysis, Ritz method, Groebner Basis, principle of minimum potential energy, elastic foundations, Pasternak model, Winkler model
Updating...