A 1DOF vibro-impact system with dry friction was considered.Its distribution and transition of periodic motions under the synergistic change of parameter ω and δ were analyzed.According to the periodic motion’s boundary condition and motion continuity condition, the existing condition of the 4-p-1 periodic motion was deduced.A method for computing Floquet matrix and Lyapunov exponent according to the disturbing response integral was presented to analyse the stability and bifurcation of the system.According to the relationship between system trajectory and constraint surface, the periodic motions can be divided into four categories.By virtue of the Lyapunov exponent, the distribution of periodic motions of the system under the synergistic change of parameter ω and δ was obtained by numerical simulations.The transition of adjacent periodic motion through non-smooth bifurcations was studied based on the cell mapping method.The numerical results indicate that the system presents a special grazing and saddle node bifurcation accompanied by a sliding bifurcation.
李得洋1,2，丁旺才2，卫晓娟2，丁杰2. 单自由度含干摩擦碰振系统相邻周期运动转迁规律分析[J]. 振动与冲击, 2020, 39(22): 50-59.
LI Deyang1,2，DING Wangcai2，WEI Xiaojuan2，DING Jie2. Analysis on the transition of adjacent periodic motion in a 1DOF vibro-impact system with dry friction. JOURNAL OF VIBRATION AND SHOCK, 2020, 39(22): 50-59.
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