Stability and bifurcations in multi-degree-of-freedom vibratory system with gap
A multi-degree-of-freedom vibratory system with a gap was considered in this paper. The system was uncoupled by using the modal matrix approach. Based on the impacting conditions and the matching conditions according to the impact law, one-impact periodic motion and the Poincare mapping of the system were analytically derived. Stability and local bifurcations of one-impact periodic motion were theoretically analyzed by using the Jacobian matrix of the Poincare mapping. The effectiveness of the present approach was demonstrated by applying it to a three-degree-of-freedom vibratory system which was obtained by letting the parameters n=2 and m=1. The Neimaric-Sacker bifurcation and period doubling bifurcation processes were shown in the projected Poincarg sections through numerical simulations.
Yan-long Zhang Guan-wei Luo Li Ma
School of Mechatronic Engineenng, Lanzhou Jiaotong University, Lanzhou 730070, 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
1426-1433
2007-06-11（万方平台首次上网日期，不代表论文的发表时间）