一种非对称特性约束的碰撞振动系统的动力学分析

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振动与冲击 ›› 2024, Vol. 43 ›› Issue (12) : 72-79.

论文

张柏林1，李险峰1，张惠2，马国峰2

作者信息 +

The dynamics of a vibro-impact system with asymmetric characteristic constraints

ZHANG Bailin1，LI Xianfeng1，ZHANG Hui2，MA Guofeng2

Author information +

文章历史 +

摘要

本文研究了一种具有非对称约束的单自由度非对称碰撞振动系统。在对系统进行无量纲化建模处理后分析了系统的n-1-1周期运动的存在条件。在此基础之上推导了系统在n-1-1周期运动的情况下的Jacobi矩阵，利用参数状态空间联合仿真的方法分析了系统在参数平面(ω,δ)下系统的转迁规律以及变化参数ω时的动力学行为。提出了一种参数空间变化下探索吸引子共存现象的新方法，并分析了系统在状态空间下吸引子的演化趋势。

Abstract

This paper investigates a non-symmetric collision vibration system with asymmetric constraints. The conditions for n-1-1 periodic motion are given and the Jacobi matrix is derived from the non-dimensional modeling. In utilizing with a combined parametric-state simulation method, the transition sets are presented on the (ω,δ) plane, and the dynamical behavior against ω are also examined. A new method is proposed to explore coexisting attractors. Whereby the variations of attractors are depicted in parameter space.

导出引用

张柏林1，李险峰1，张惠2，马国峰2. 一种非对称特性约束的碰撞振动系统的动力学分析[J]. 振动与冲击, 2024, 43(12): 72-79

ZHANG Bailin1，LI Xianfeng1，ZHANG Hui2，MA Guofeng2. The dynamics of a vibro-impact system with asymmetric characteristic constraints[J]. Journal of Vibration and Shock, 2024, 43(12): 72-79

参考文献

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