一、前 言 轮轨空间接触几何关系是轮轨关系研究的基础。多年来,国内外学者已对这些问题进行了较为充分的研究,提出了一些不同的计算方法。我们发现,现有的方法虽然可以解决具有任意表面形状的轮轨空间接触问题,但其计算速度较慢,在实际应用上有一定的困难。 我们在文献[5]～[7]的基础上,对由圆弧和直线组成的左右对称的轮轨型线,根据对轮轨空间接触的理论分析,导出解析表达式。提出一种轮轨三维接触的快速算法,能简便地进行两 First, the preface The geometric relationship between the wheel and rail space contact is the basis of wheel-rail relationship. Over the years, domestic and foreign scholars have conducted a more adequate study of these issues, put forward some different calculation methods. We find that although the existing methods can solve the wheel and rail space contact problem with arbitrary surface shape, its calculation speed is slow and it has some difficulties in practical application. Based on the literature [5] ~ [7], on the basis of theoretical analysis of the wheel-rail contact in space, the analytic expression is derived for the left-right symmetric wheel-rail line composed of circular arcs and straight lines. A fast algorithm of three-dimensional wheel-rail contact is proposed, which can be easily implemented in two ways