Simultaneous Buckling in Symmetric Structural Systems

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Abstract
A discrete generalized-coordinate energy method is applied to a general, symmetric, multidegree-of-freedom system experiencing branching of equilibrium into more than one mode of buckling at a single value of loading parameter. Maxima and minima are established for the potentially large number of post-buckling paths which exist. The maximum number of distinct post-buckling path curvatures among these paths is established, as well as the maximum number of load-corresponding deflection relationships. The case where the branching points on the basic state are not coincident, but nearly so, is examined. The possibilities for secondary bifurcations on post-buckling paths are demonstrated in this latter case.

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