Firstly , a simple and practical representing method of the tooth edge tangential vector is applied to replace the traditional differential formula , the simple solving technique of edge contact problem makes the geometric edge contact analysis of the complex curve surface realize . secondly , using numerical searching and mathematical programming method solves the contact directions and loaded contact problem . finally , whole numerical simulation method is provided for loaded tooth contact analysis of high contact ratio spiral bevel gears 首先以一種簡單實用的輪齒邊緣切矢量的數學表示方法取代了經典的微分表達式,大大簡化了幾何邊緣接觸的求解,使復雜曲面的幾何邊緣接觸分析得以實現;其次又采用數值搜索與數學規劃法求解了邊緣接觸的主方向和承載接觸問題,為高重合度弧齒錐齒輪承載嚙合全過程的數值仿真提供了完整的方法。