一种非对称特性约束的碰撞振动系统的动力学分析  

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

作　　者：张柏林 李险峰[1] 张惠[2] 马国峰 ZHANG Bailin;LI Xianfeng;ZHANG Hui;MA Guofeng(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China;School of Electrical and Mechanical Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学数理学院,兰州730070 [2]兰州交通大学机电工程学院,兰州730070

出　　处：《振动与冲击》2024年第12期72-79,共8页Journal of Vibration and Shock

基　　金：国家自然科学基金(11962011);甘肃省科技厅科研项目(20JR10RA223,22JR5RA348)。

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

关 键 词：非光滑 非对称 参数分岔 吸引域 胞映射 参数-状态空间联合仿真 

分 类 号：O322[理学—一般力学与力学基础]