Grazing bifurcations and asymmetry transitions in an impact oscillator with symmetric stops
In this paper, an impact oscillator with eccentric excitation and symmetric elastic stops is analyzed. Two kinds of Poincare maps are combined together to express the impact motion, especially two Poincare maps defined by the symmetric stops can efficiently identity the grazing bifurcations and the symmetry transitions. Besides the symmetric external grazing bifurcation, a new type of asymmetric grazing bifurcation from internal to external is observed firstly. Transitions of asymmetric periodic motions and chaos are also studied. The impact number per excitation period is demonstrated as a convenient and practical tool to identify grazing bifurcations and chaos.
Zhi-ying Qin Qi-shao Lu
School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, China;School School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
国际会议
The 5th International Conference on Nonlinear Mechanics(第五届国际非线性力学会议)
上海
英文
1328-1334
2007-06-11（万方平台首次上网日期，不代表论文的发表时间）