万向节两传动轴转角关系的三元复数推证方法

The testifying method of ternary complex for the rotation angle relation of the two transmission shaft in Hooke's universal joint

将平面二元复数的概念延伸、推广至三维复空间,以矢量为原型,以球坐标为依据,重申了三元复数模型的重要性。以此为数学工具,建立了三元复数的矢量运算规则。针对万向联轴节两传动轴转角关系式的推演,尝试了三元复数方法的使用。在此过程中,提供了一种新型的推证万向节两传动轴转角关系的有效方法。

The concept of a plane binary complex bas been gone forward and spread into, the three-multiple space in this paper. Based on the model of a vector and a sphere coardinate, importance of the ternary complex model is reaffirmed. After the ternary complex is regarded as a mathematical tool, the vector calculating criterions of the ternary complex are founded. Finally, the ternary complex is tried to use the proof of the rotation angle relation of the two transmission shaft in Hooke＇s universal joint. Actually, this offers the new type of a valid way to testify the rotation angle relation of the two transmission shaft in an universal joint.