单自由度含对称约束碰振系统周期运动的转迁规律分析

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振动与冲击 ›› 2019, Vol. 38 ›› Issue (22) : 52-59.

论文

李得洋1，丁旺才1，丁杰1，李飞2

作者信息 +

Transition of periodic motions of a 1DOF vibro-impact system with symmetrical constraints

LI Deyang1，DING Wangcai1，DING Jie1，LI Fei2

Author information +

文章历史 +

摘要

利用数值仿真方法，分析了单自由度含对称弹性约束碰撞振动系统在参数平面内周期运动的分布及转迁规律。首先，根据周期运动的边界条件和衔接条件理论推导得到了系统周期运动存在的条件。其次，数值仿真得到了系统在参数平面内的周期运动分布图，并根据各周期运动转迁的特点将参数平面划分为两个参数域，进而结合胞映射方法对各参数域内周期运动的转迁规律、周期吸引子及其吸引域的分布进行了分析；最后总结了各参数域内周期运动之间的相互转迁规律。

Abstract

A 1DOF vibro-impact system with symmetrical soft constraints was considered. The distribution and transition of its periodic motion in the(ω,b)-parameter plane were analyzed with the direct numerical continuation techniques. According to the boundary condition of the periodic motion and the motion continuity condition, the condition of the n-1-1S periodic impact motion was deduced. The distribution of periodic motions of the system in the (ω,b)-parameter plane was obtained by using numerical simulation, and the whole parametric plane was divided into two regions according to the type of transition of periodic motions. The transition of periodic motion, the attractor and its attracting domain were analysed by the combined use of the cell mapping method. Finally, the transition law in different parameter domains was summarized explicitly． 

导出引用

李得洋1，丁旺才1，丁杰1，李飞2. 单自由度含对称约束碰振系统周期运动的转迁规律分析[J]. 振动与冲击, 2019, 38(22): 52-59

LI Deyang1，DING Wangcai1，DING Jie1，LI Fei2. Transition of periodic motions of a 1DOF vibro-impact system with symmetrical constraints[J]. Journal of Vibration and Shock, 2019, 38(22): 52-59

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