Passive stabilization of a buckled beam (linear theoretical analysis)

Beam is one of the fundamental elements in complex structures. It is very significant to clarify its stability under the various circumstances. In particular, the buckling phenomenon, which is a pitchfork bifurcation, has accepted much interest by many researchers. In this paper, we propose a stabilization control method for the first-mode buckling phenomenon in the clamped-clamped beam without feedback control, We analyze a buckled beam under high frequency excitation in linear theory. The high frequency excitation shifts the bifurcation point (the critical compressive force) and carries out the escape from the buckling state.