平面运动学的欧拉公式描述和分析

Description and analysis of Plane Kinematics by utilizing Euler formula

针对平面运动学相关问题,采用复函数平面代替传统的Oxy坐标系的实数平面并引入以复指数形式表达的欧拉公式,进行描述和分析,避免了传统的实数平面矢量分析中点积和叉积运算规则所带来的困惑以及繁琐的矢量分析.并引入了瞬时坐标系,其结论与经典理论完全一致.

In this paper,the complex function plane is used to replace the real plane of the traditional Oxy coordinate system,and Euler’s formula expressed in the form of complex exponential is also introduced here to describe and analyze the plane kinematics problem.Thus,the confusion and the tedious vector analysis caused by the operation rules of point product and cross product in the traditional real plane are avoided.The instantaneous coordinate system is introduced,and the conclusion is completely consistent with the classical theory.