Oscillatory control of bifurcations in rotating chains

摘要: Recent literature has addressed the issue of using high-frequency periodic inputs in open-loop stabilization mechanical systems. Equilibria and their stability are found by averaging Hamiltonian then studying critical points resulting averaged potential. In this paper, we consider undeflected hanging modes n-link planar kinematic chains high frequency vertical forcing. We show that effect forcing is to postpone a bifurcation which equilibrium chain system becomes unstable. This work been motivated number laboratory experiments variety applications have observed produce significant stabilizing effects.