Semi-analytical method versus the FEM for analysis of the local post-buckling of thin-walled composite structures

Abstract The investigations are concerned with a comparison of the semi-analytical method (SAM) and the finite element method (FEM) applied to the local post-buckling analysis of thin-walled composite structures with closed cross-sections, in the second order approximation based on the linear analysis. A ‘lower bound’ approach by Koiter and Pignataro [6] improved in [9] , enables us to determine the overall flexural stiffness of an isotropic beam–column after its local buckling. The presented paper verifies the semi-analytical method and the FEM for thin-walled composite structures. The theoretical basis of the present approach is discussed and some typical examples are considered.

[1]  Tomasz Kubiak,et al.  Postbuckling behaviour of thin-walled girders with orthotropy varying widthwise , 2001 .

[2]  Z. Kołakowski,et al.  Modal coupled instabilities of thin-walled composite plate and shell structures , 2006 .

[3]  Zbigniew Kolakowski.  Interactive buckling of thin-walled beam-columns with open and closed cross-sections , 1993 .

[4]  Zbigniew Kolakowski,et al.  A semi-analytical method for the analysis of the interactive buckling of thin-walled elastic structures in the second order approximation , 1996 .

[5]  Kolakowski Zbigniew,et al.  Influence of modification of boundary conditions on load carrying capacity in thin-walled columns in the second order approximation , 1993 .

[6]  Zbigniew Kolakowski,et al.  Interactive buckling and load carrying capacity of thin-walled beam-columns with intermediate stiffeners , 2004 .

[7]  Zbigniew Kolakowski,et al.  Interactive buckling of thin-walled beam-columns with intermediate stiffeners or/and variable thickness , 2000 .

[8]  Zbigniew Kolakowski,et al.  Estimation of load carrying capacity of thin-walled composite structures , 2005 .

[9]  T. R. Graves Smith.  The post-buckled behaviour of a thin-walled box beam in pure bending , 1972 .

[10]  John Roorda.  Buckling behaviour of thin-walled columns , 1988 .

[11]  Zbigniew Kolakowski,et al.  Interactive buckling of thin-walled closed elastic beam-columns with intermediate stiffeners , 1995 .

[12]  Esben Byskov,et al.  Mode interaction in axially stiffened cylindrical shells , 1977 .

[13]  Zbigniew Kolakowski,et al.  Lower bound estimation of load-carrying capacity of thin-walled structures with intermediate stiffeners , 2001 .

[14]  Zbigniew Kolakowski,et al.  Influence of local postbuckling behaviour on bending of thin-walled beams , 1996 .

[15]  Srinivasan Sridharan,et al.  A versatile model for interactive buckling of columns and beam-columns , 1988 .