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.
Ghannadpour,S A M , Ovesy,H and Nassirnia,M . (2011). NONLINEAR POST-BUCKLING ANALYSIS OF ISOTROPIC PLATES BY USING FINITE STRIP METHODS. Journal of Aerospace Science and Technology, 8(1), 11-19.
MLA
Ghannadpour,S A M , , Ovesy,H , and Nassirnia,M . "NONLINEAR POST-BUCKLING ANALYSIS OF ISOTROPIC PLATES BY USING FINITE STRIP METHODS", Journal of Aerospace Science and Technology, 8, 1, 2011, 11-19.
HARVARD
Ghannadpour S A M, Ovesy H, Nassirnia M. (2011). 'NONLINEAR POST-BUCKLING ANALYSIS OF ISOTROPIC PLATES BY USING FINITE STRIP METHODS', Journal of Aerospace Science and Technology, 8(1), pp. 11-19.
CHICAGO
S A M Ghannadpour, H Ovesy and M Nassirnia, "NONLINEAR POST-BUCKLING ANALYSIS OF ISOTROPIC PLATES BY USING FINITE STRIP METHODS," Journal of Aerospace Science and Technology, 8 1 (2011): 11-19,
VANCOUVER
Ghannadpour S A M, Ovesy H, Nassirnia M. NONLINEAR POST-BUCKLING ANALYSIS OF ISOTROPIC PLATES BY USING FINITE STRIP METHODS. Journal of Aerospace Science and Technology. 2011;8(1):11-19.