Periodic Motion and Transition of a Vibro-Impact System with Multilevel Elastic Constraints

被引：3

作者：

Ding, Jie ^{[1
]}

Wang, Chao ^{[1
]}

Ding, Wangcai ^{[1
]}

机构：

[1] Lanzhou Jiaotong Univ, Sch Mechatron Engn, Lanzhou 730070, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2021年 / 2021卷

基金：

中国国家自然科学基金;

关键词：

GLOBAL ANALYSIS; DYNAMICS; OSCILLATORS; VIBRATION; STABILITY; BEHAVIOR;

D O I：

10.1155/2021/6687887

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a single-degree-of-freedom vibroimpact system with multilevel elastic constraints is taken as the research object. By constructing the Poincare map of the system and calculating the Lyapunov exponent spectrum of the system, the stability of the system is determined. Using the multiparameter collaborative numerical simulation method, the parameter domains of various periodic motions are determined, and the diversity and transition characteristics of periodic motions are revealed. At the same time, combined with the cell mapping method, the coexistence of attractors induced due to grazing bifurcation, saddle-node bifurcation, and boundary crisis is studied. Finally, the influence of system parameters on periodic motion distribution is analyzed, which provides a scientific basis for system parameter optimization.

引用

页数：13

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