摘要
本文较深入地研究了非线性车辆系统蛇行运动的Ｈｏｐｆ分叉及极限环数值计算。结合实例，应用ＱＲ算法求出一次近似系统的特征值并结合黄金分割法确定了车辆系统平衡位置失稳的临界状态。应用试射法对其邻域的极限环求解。
In this paper,the numerical computation methods for the Hopf bifurcation and limit cycles of railway vehicle systems is carefully studied.The Hopf bifurcation point,i. e.the critical point where the system equilibrium position becomes unstable, is determined through using the oR algorithm to calculate the eigenvalues of the first approximate system incorporating with the Gold Cut method. The limit cycles around the Hopt bifurcation point are calculated by use of the shooting method. Finally,a railway passenger coach with 17 degrees of freedom is taken as an application example and the bifurcation diagram of the system has been obtained through computations.
出处
《铁道学报》
EI
CSCD
北大核心
1996年第3期13-19,共7页
Journal of the China Railway Society
基金
国家教委优秀青年教师基金
