As both the meshing point and ball ' s center are on the given cylinder , a general method for developing the cam ' s profile is studied . it is proved that the profile of positive and negative transmission is unique if the face gear , the difference between face tooth number and ball number and the diameter of ball are the same . the concrete expression of meshing cam on given spatial cycloid profile , and the characteristics of the profiles are discussed 论文的主要工作包括： 1 、根据啮合点和钢球中心轨迹均在同一圆柱面上的特点，研究了给定端齿齿廓条件下求解凸轮齿廓的一般方法；论证了在给定端齿、齿差数和钢球直径相同的条件下，正负齿差啮合齿廓的唯一性；讨论了端齿为球面摆线时，凸轮齿廓的具体表达式，并研究了该齿廓的性质。
