TY - JOUR ID - 51597 TI - NONLINEAR POST-BUCKLING ANALYSIS OF ISOTROPIC PLATES BY USING FINITE STRIP METHODS JO - Journal of Aerospace Science and Technology JA - JAST LA - en SN - 1735-2134 AU - Ghannadpour, Seyyed Amir Mahdi AU - Ovesy, H.R. AU - Nassirnia, M. AD - Shahid Beheshti University, G.C. AD - Y1 - 2011 PY - 2011 VL - 8 IS - 1 SP - 11 EP - 19 KW - Post-buckling KW - Finite strip Method KW - Full-analytical KW - Semi-analytical KW - Von-Karman equations DO - N2 - 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-Karman’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. UR - https://jast.ias.ir/article_51597.html L1 - https://jast.ias.ir/article_51597_027984e8fafa99369f1c7955225ec6a4.pdf ER -