Qualitative criteria for dynamic buckling of imperfection sensitive nonconservative systems

A qualitative dynamic buckling analysis of imperfection-sensitive non-conservative dissipative systems under path-dependent loading in regions of divergence is presented. Despite the lack of potential for this type of loading a total energy-balance equation allows us to establish a sufficient criterion for dynamic buckling, the counterpart of that valid for potential systems. Moreover, using energy and geometrical considerations for the channel of motion, one can obtain for a 2-DOF model dynamic buckling loads (DBLs) which are practically exact for vanishing but non-zero damping and very accurate for non-zero damping. Numerical results show the efficiency and reliability of the proposed qualitative analysis.

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