%0 Journal Article
%T NONLINEAR POST-BUCKLING ANALYSIS OF ISOTROPIC PLATES BY USING FINITE STRIP METHODS
%J Journal of Aerospace Science and Technology
%I Iranian Aerospace Society
%Z 1735-2134
%A Ghannadpour, Seyyed Amir Mahdi
%A Ovesy, H.R.
%A Nassirnia, M.
%D 2632
%\ 04/21/2632
%V 8
%N 1
%P 11-19
%! NONLINEAR POST-BUCKLING ANALYSIS OF ISOTROPIC PLATES BY USING FINITE STRIP METHODS
%K Post-buckling
%K Finite strip Method
%K Full-analytical
%K Semi-analytical
%K Von-Karman equations
%R
%X ABSTRACT This paper presents the theoretical developments of two finite strip methods (i.e. semi-analytical and full-analytical) for the post-buckling analysis of isotropic plates. In the semi-analytical finite strip approach, all the displacements are postulated by the appropriate shape functions while in the development process of the full-analytical approach, the Von-Karmanâ€™s equilibrium equation is solved exactly to obtain the buckling loads and the out-of-plane buckling deflection modes. The investigation of plates buckling behaviour is then extended to the post-buckling study with the assumption that the deflected form after the buckling is the combination of first, second and higher (if required) modes of buckling. Thus, the full-analytical post-buckling study is effectively a multi term analysis. In this method the Von-Karman compatibility equation is used together with a consideration of the total strain energy of the strut. Through the solution of the compatibility equation, the in-plane displacement functions which are themselves related to the Airy stress function are developed in terms of the unknown coefficients in the assumed out-of-plane deflection function. The in-plane and out-of-plane deflection functions are substituted in the total strain energy expressions and the theorem of minimum total potential energy is applied to solve for the unknown coefficients.
%U http://jast.ias.ir/article_51597_027984e8fafa99369f1c7955225ec6a4.pdf