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 - 2632
PY - 2632
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-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.
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ER -