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Structures may buckle under dynamic loading.Generally, solutions of equations of motion for the structure can be solved under different load parameters to obtain the dynamic buckling load of the structure.However, the solution from the equation of motion for the dynamic buckling analysis of structures is much more difficult than using the equation of equilibrium for a static buckling analysis.Some structures have a nonlinear primary equilibrium path with bifurcation and/or limit points and post-bifurcation and/or pots-limit point unstable equilibrium paths[1].