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干摩擦对碰撞振动系统周期运动的影响分析
引用本文:张有强,丁旺才.干摩擦对碰撞振动系统周期运动的影响分析[J].振动与冲击,2009,28(6):110.
作者姓名:张有强  丁旺才
作者单位:1塔里木大学 机械电气化工程学院,新疆 阿拉尔 843300;2兰州交通大学 机电工程学院,甘肃 兰州 730070
基金项目:国家自然科学基金,甘肃省自然科学基金 
摘    要:建立了含干摩擦对称间隙的两自由度碰撞振动系统的非线性动力学模型, 利用半解析、数值摸拟方法求解和分析了系统运动中存在复杂的粘滑碰撞动力学行为。为了精确地捕捉粘滑碰撞的分界点, 给出了判定系统粘滑碰撞的方法及粘滑碰撞过程中的衔接准则。并进一步分析了系统对称的周期运动、拟周期运动、粘滑碰撞运动和混沌行为以及干摩擦对系统所呈现出的动力学行为的影响。

关 键 词:干摩擦    间隙    粘-滑振动    分岔    稳定性  
收稿时间:2008-10-15

Study on effect of dry friction on periodic motion of impact vibration system
ZHANG You-qiang,DING Wang-cai.Study on effect of dry friction on periodic motion of impact vibration system[J].Journal of Vibration and Shock,2009,28(6):110.
Authors:ZHANG You-qiang  DING Wang-cai
Affiliation:1 School of Mechanical and Electrical Engineering, University of Tarim, Alar 843300, China2 School of Mechatronic Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China
Abstract:A nonlinear dynamical model of the two-degree-of-freedom dry friction oscillators with symmetric clearance is established, semi-analytic and numerical simulation method are used to resolve the response of system and complicated Slip-stick-impact dynamic behaviors are investigated. In order to capture accurately dividing points of Slip-stick-impact motions, the theoretical method about decision of Slip, stick, and impact of system are given and their engaging conditions are put forward respectively. There exist rich symmetrical periodic motion, stick-slip-impact motion, quasi-periodic motion, chaos and the influences of dry friction on the system dynamics are discussed.
Keywords:Dry friction                                                      Clearance                                                      Stick-slip vibration                                                      Bifurcation                                                      Stability
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