摘要
主要研究高速列车受流的稳定性与接触网弹性系数的关系. 在传统研究的基础上,考虑了接触网刚度的傅里叶展开的二阶展式,建立研究弓网振动稳定性的微分方程. 在采用摄动法分析其稳定性时,将位移响应展开为二阶展式,得出了弓网系统的稳定边界. 并讨论了各参数在不同条件下对稳定区间的影响. 最后将所得结果与传统结果进行了比较,得出了高阶项对系统边界稳定性存在影响的结论.
This paper studied the relationship between the stiffness and the stability of current collection for high-speed train. Based on the traditional study, the differential equation of catenary-pantograph system was established, which took into account the high order term of the stiffness Fourier expansion. Using the perturbation method, the stability of the system was analyzed under small damping. Under the assumption of the second order form of the displacement response of the system, the stability boundary was obtained. The effects of damping effect and other parameters on the stability boundary were discussed. Moreover, the proposed solution was compared with the classical solution in references, which indicates that the proposed solution has a more higher accuracy.
出处
《动力学与控制学报》
2012年第4期334-339,共6页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(11072157
11272219)~~
关键词
弹性系数
稳定性
小阻尼
参数
摄动法
stiffness, stability, parameters, small damping, high-speed
