一类对称碰振系统的周期运动和分岔研究  

Analysis on Bifurcations and Periodic Motion in Symmetrical Vibro-impact System

作　　者：张安兵[1] 褚衍东[1] 韩振辉[1] 张文琦[1] 

机构地区：[1]兰州交通大学数理与软件工程学院,甘肃兰州730070

出　　处：《西南科技大学学报》2007年第3期52-56,共5页Journal of Southwest University of Science and Technology

摘　　要：针对一类双自由度对称碰撞振动系统进行了理论分析和演算,利用在该系统不动点处的Jacobi矩阵的特征值得到了系统的周期性运动及混沌和分岔的存在条件。数值模拟表明,该方法能够得到令人满意的结果。A symmetrical two-degree-of-freedom vibro-impact system was studied based on theoretic analysis and calculation. The existence condition of periodic motion, chaos and bifurcations of the system was obtained through the eigenvalue of Jacobi matrix at the fixed point of the system. Numerical simulations show that the method can achieve satisfactory results.

关 键 词：碰振 周期运动 混沌 分岔 稳定性 

分 类 号：O325[理学—一般力学与力学基础]