| 车辆系统Hopf分叉的代数求解方法 |
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| 引用本文： | 邬平波,张继业.车辆系统Hopf分叉的代数求解方法[J].西南交通大学学报,1999,34(3):269-273. |
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| 作者姓名： | 邬平波 张继业 |
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| 作者单位： | 西南交通大学,牵引动力国家实验室,成都,610031 |
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| 摘 要： | 运用运动稳定性及分叉理论，研究了非线性车辆系统的蛇行运动分叉现象，提出利用Ｈｕｒｗｉｔｚ行列式，给出平衡点失稳而发生Ｈｏｐｆ分叉的代数判定准则和计算方法，这一方法将Ｈｏｐｆ分叉点的求解转化为一个非线性方程的求解问题，并用此方法进行了客车系统运动稳定性的研究。
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| 关 键 词： | 蛇行运动 车辆动力学 铁路 车辆系统 Hopf分叉 |
Algebraic Method of Hopf Bifurcation of Railway Vehicle System |
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| Wu Pingbo,Zhang Jiye.Algebraic Method of Hopf Bifurcation of Railway Vehicle System[J].Journal of Southwest Jiaotong University,1999,34(3):269-273. |
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| Authors: | Wu Pingbo Zhang Jiye |
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| Abstract: | The theories of stability and bifurcation are used to analyze the hunting bifurcation of nonlinear railway vehicle system in this paper. An algebraic criterion of the point causing Hopf bifurcation and its analysis method are given with Hurwitz determinant. By using this method, the research on the stability of passenger car is made. |
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| Keywords: | railway vehicle stability bifurcation hunting |
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