两自由度含非线性约束碰撞系统的多共存吸引子研究  

STUDY ON MULTI-COEXISTING ATTRACTORS FOR TWO-DOF COLLISION SYSTEMS WITH NONLINEAR CONSTRAINTS

作　　者：朱喜锋[1,2] 马硕 王剑锋 ZHU XiFeng;MA Shuo;WANG JianFeng(School of Mechanical Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China;Key Laboratory of System Dynamics and Reliability of Rail Transport Equipment of Gansu Province,Lanzhou 730070,China;Department of Railway Locomotive and Car,Baotou Railway Vocational and Technical College,Baotou 014060,China)

机构地区：[1]兰州交通大学机电工程学院,兰州730070 [2]甘肃省轨道交通装备系统动力学与可靠性重点实验室,兰州730070 [3]包头铁道职业技术学院铁道机车车辆系,包头014060

出　　处：《机械强度》2023年第4期793-798,共6页Journal of Mechanical Strength

基　　金：甘肃省科技计划项目(20JR5RA424)资助。

摘　　要：建立了一类两自由度含非线性约束且带有初始预压缩的碰撞振动系统模型,通过4阶Runge-Kutta数值算法及多参数协同仿真的方法研究了该系统迟滞域的发生区域和分布规律,并结合胞映射法分析了系统迟滞域内两种运动的稳定性,最后深入研究了基本参数的改变对系统迟滞域的影响。结果表明,在迟滞域内,随着激振频率的改变,共存运动的稳定性也会相应地发生改变。系统弹性刚度比的减小会使得系统迟滞域的频率相应地减小。A two-degree-of-freedom collission vibration system model with nonlinear constraints and initial precompression is established.The hysteresis region and distribution of the system are studied by using the 4-order Runge-Kutta numerical algorithm and multi-parameter co-simulation method.The stability of the co-existing motions in the hysteresis region is analyzed by cell mapping method.Finally,the influence of the change of basic parameters on the hysteresis domain of the system is deeply studied.The results show that the stability of coexisting motion changes with the change of excitation frequency in hysteresis domain.The decrease of the elastic stiffness ratio will reduce the hysteretic frequency of the system.

关 键 词：预压缩 非线性约束 迟滞域 共存吸引子 多参数协同仿真 

分 类 号：O322[理学—一般力学与力学基础]