受电弓与刚性接触网动力耦合方程的数值解

Dynamic coupling equations between pantograph and overhead rigid conductor rail by using numerical method

良好的受电弓与刚性接触网动力相互作用是保证其可靠受流的前提,为研究其动力响应,有必要对两者的动力作用机理进行分析。根据弓网系统的特点,推导受电弓、刚性接触网、弓网接触的动力方程,其中刚性接触网动力方程为偏微分方程,利用Ritz法,转化为常微分方程,通过纽曼数值积分求解弓网系统动力方程组。计算案例结果表明:刚性接触网首跨弛度对弓网动力性能影响较大,刚性接触网跨距、定位点刚度是影响弓网动力性能的显著参数,与有限元法进行比较,发现计算结果比较接近,验证该方法的有效性。

Great interaction between pantographs and overhead rigid conductor rail system （ORCR） can ensure reliable current collecting. To research the dynamic response, it is necessary to figure out the mechanism of their dynamics. According to the characteristics of pantographs and ORCR, dynamic equations of pantographs and rig- id suspension of ORCR were set up, in which partial differential equations of ORCR can be change to ordinary differential equations by Ritz method. Numerical solution of these equations can be got by Newman Integrate. Case in the paper shows that the sag of first span, the length of span and the stiffness of supporting points would affect dynamic performance seriously. In addition, comparing to finite element method, the two results are simi- lar which verifies the validity of this method.