求解平面图形内各点速度、加速度的简捷方法

A Simple Method to Obtain Velocity and Acceleration of Point in Plane Graph

研究刚体的平面平行运动 ,用复矢量方法推导了平面图形内各点的速度、加速度关系式 ,给出了求解平面图形内各点速度、加速度的简捷方法。这种方法不用作速度、加速度图 ,只需求出平面图形内点的速度函数式、加速度函数式 ,就可以求出平面图形内各点的速度、加速度 ,而且所求未知量的大小和方向直接有表达式一并给出 ,便于用计算机编程计算。需求点的数目越多 ,这种方法的优越性越显著。另一方面 ,本文用复矢量方法研究刚体的平面平行运动 。

The plane parallel movement of body was studed.Velocity formula and acceleration formula of point in the plane graph is proved by means of complex vector,and a simple method to obtain the velocity and acceleration is proposed.Using this method,we can obtain velocity and acceleration of different points,ony getting their formulas,and having not to draw the velocity and acceleration graph.We can formulate the number and direction of velocity and acceleration,so we can calculate it easily using computer.The more the points,the more remarkable the advantage of this method.The plane parallel movement of unyielding body is studied in this paper,so the kinematies by means of complex vector is formed an integral system.