Subharmonic orbits analysis for a 2-DOF vibro-impact quasi-Hamiltonian system
ZHANG Si-jin 1 WANG Jin-ye 1 WEN Gui-lin 2
1. College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082; China;
2. State Key Lab of Advanced Design & Manufacturing for Vehicle Body, Hunan University, Changsha 410082, China
Abstract:The dynamic characteristics of a 2-DOF vibro-impact system with a cubic non-linear item under external excitation were investigated here. Firstly, the system’s local subharmonic Melnikov function was derived adopting the perturbation method. Then, Melnikov function and numerical methods were applied to determine the existence conditions of the system’s stable periodic motions. When the frequency and the excited force were taken as bifurcation parameters, the simulation results showed that the system performs a stable single-impact periodic motion and a double-impact periodic one, then enters a chaotic state, the validity of Melnikov method is verified; besides, appropriately controlling parameter values can avoid the system to have multi-period motion and complex chaotic one, and realize the stable motion of the system.
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