摘要
建立了含干摩擦两单自由度碰撞振动系统的动力学模型,分别给出了系统在滑动、粘滞、碰撞时的运动方程和衔接条件。描述了一般运动情形下系统的全局Poincaré映射,并阐述了判定系统稳定性的方法。利用数值迭代的方法求解和分析了系统的复杂动力学行为,并讨论了激励振幅和摩擦因数对系统粘着碰撞的影响。
We established a dynamic model of two single-degree-freedom vibro-impact system with dry friction. The equation of slip-stick and impact of the system is given and their engaging conditions are put forward respectively. And analytical method for describing global Poincar6 map for systems in general motions and elaborating the stability of the solution are presented. A numerical study revealing the complicated dynamic behavior has been performed. The influence of stick-slip-impact motion affected by excitation amplitude and friction coefficient is discussed.
出处
《重庆理工大学学报（自然科学）》
CAS
2011年第7期71-75,101,共6页
Journal of Chongqing University of Technology：Natural Science
基金
国家自然科学基金资助项目(50474008)
甘肃省自然科学基金资助项目(3ZS051-A25-030
3ZS-042-B25-049)
兰州交通大学科研基金资助项目(DXS2010-019)
作者简介
杨昊（1984-），男，陕西汉中人，硕士研究生，主要从事非线性动力学研究。
