Semi-Analytical Finite Strip Transfer Matrix Method for Buckling Analysis of Rectangular Thin Plates

Abstract

Plates and shells are main components of modern engineering structures, whose buckling analysis has been focused by researchers. In this investigation, rectangular thin plates with loaded edges simply supported can be discretized by semi-analytical finite strip technology. Then the control equations of the strip elements of the buckling plate will be rewritten as the transfer equations by transfer matrix method. A new approach, namely semi-analytical Finite Strip Transfer Matrix Method, is developed for the buckling analysis of plates. This method requires no global stiffness matrix of the system, reduces the system matrix order, and improves the computational efficiency. Comparing with some theoretical results and FEM’s results of two illustrations (the plates and the ribbed plates) under six boundary conditions, the method is proved to be reliable and effective.

Buckling analysis of thin-walled members via semi-analytical finite strip transfer matrix method

“…If the orthogonal conditions about k pq e and k pq g given by Yao et al 41 can be used, the control equations of the buckling strip can be obtained by virtual work principle, which are k pp e À k pp…”

“…40 The buckling analysis of rectangular thin plates via semi-analytical finite strip transfer matrix method (FSTMM), which is enlightened by above three references, has been developed. 41 In this article, FSTMM can be extended to analyze the buckling problems of thin-walled member with simply supported loaded edges. This article is organized as follows: in section ''The Semi-analytical finite strip analysis,'' the general theorem of the semi-analytical finite strip for buckling analysis of thin-walled member is shown.…”

Buckling characteristics of cut-out borne composite stiffened hyperbolic paraboloid shell panel

“…Buckling behavior of plates and shells for different complex combinations has also been reported. [32][33][34][35][36][37][38][39][40][41][42][43][44] Abouhamzeh and Sadighi 45 performed the buckling load optimization on sandwich cylindrical panel using finite element method and genetic algorithm. Kumar et al 46 combined finite element method and Artificial Neural Network to analyze laminated composite 75hat-stiffiened panels.…”

A simple spline finite strip for buckling analysis of composite cylindrical panel with cutout

“…Also, the transverse shape function of strip element is considered as polynomial function. Buckling load of laminated plates without any cutout subjected to different load cases was evaluated using semi-analytical FSM (Yao et al 2015, Ovesy et al 2015, Dawe et al 1995, Ovesy and Fazilati 2012b. Semi-analytical FSM is very useful and efficient for buckling analysis of laminated plate when the boundary conditions of both ends of strip elements are simply supported (Wang et al 1998, Dawe and Wang 1994, Cheung and Tham 1997.…”