轮缘力作用下转向架极限环蛇行分析

ANALYSIS OF LIMIT CYCLE HUNTING OF A BOGIE WITH RANGED WHEELS

借助于最优化方法，本文成功地解决了用等效线化方法分析含有多个非线性环节的转向架蛇行极限环时所产生的用于计算非线性环节等效线化值的输入幅值与相应的输出幅值之间的不协调问题。井通过构造振幅～等效线化刚度～等效线化分析所得蛇行速度（即ａ～Ｋｅｑ（ａ）～ＶＨ）耦联图，使得等效线化分析方法不仅能以较好的精度用于求蛇行极限环解，而且可以用于分析蛇行极限环的稳定性。数值积分结果充分证实了本文分析方法的正确性。

By means of optimization theory,a method is developed to solve the incompatibility between the input amplitudes used to calculate the equivalent properties of nonlinearities and the corresponding output deflections,which is created by applysing the equivalent linearization approach to analyze of limit cycle hunting of a bogie with more than one nonlinearity.By constructing a coupling analysis scheme of amplitude,equivalent stiffness and critical hunting speed,the equivalent linearization method can be used not only to solve limit cycle hunting with sufficient accuracy,but also to analyse its stability.The results of numerical integration fully verify the method developed in the paper.