Influence of local buckling on global instability: Simplified, large deformation, post-buckling analyses of plane trusses

Abstract In this paper, the influences of local (individual member) buckling and minor variations in member properties on the global response of truss-type structures are studied. A simple and effective way of forming the tangent stiffness matrix of the structure and a modified arc length method are devised to trace the nonlinear response of the structure beyond limit points, etc. Several examples are presented to indicate: (i) the broad range of validity of the simple procedure for evaluating the tangent stiffness, (ii) the effect of buckling of individual members on global instability and post-buckling response and (iii) the interactive effects of member buckling and global imperfections.

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