用复数矢量法进行平面机构哥氏加速度分析

Analysts of Coriolis Acceleration of Plane Structure by Using Complex Vector Method

本文采用复数矢量法进行平面机构的哥氏加速度分析可以自动地给出所有的加速度分量,包括加速度哥氏分量的数值和方向,避免了用传统方法进行平面机构加速度分析时,可能出现的遗漏加速度哥氏分量和弄错加速度哥氏分量的数值和方向的缺点。同时由于可以借助于计算机来进行运算。因此,如果要用线图来表示机构运动循环的运动特征也是很容易实现的。 本人采用的方法是首先建立封闭矢量方程,并用复数的指数形式来表示之,然后进行速度分析和加速度分析,这样分别得到机构的位移方程、速度方程和加速度方程。最后就可解得所需求解的问题。

In this paper, by the analysis of Coriolis acceleration of plane structure by using complex vector method, all the acceleration components can be given automatically, including the magnitude arid direction of Coriolis acceleration component, thus avoiding the possible omittion of Coriolis acceleration component and the mistaking of its magnitude and direction,which may occur when the analysis of acceleration of plane structure is made by the traditional method. And it is also easy to give the motion characteristics of motion circulation of the structure in linear graphs with the help of computer. The ahthor first set up a closed vector equation and expressed it in complex index number, and then made velocity analysis and acceleration analysis, thus obtaining the displacement equation, velocity equation and acceleration equation of the structure respectively. Finally, the solution to the problem was obtained.