空间运动刚体加速度瞬轴位置的分析

Analysis of the Position of the Accelerated Instantaneous Axis of a Rigid Body in Space Motion

针对空间运动刚体的加速度分析,本文提出了在各种情况下确定空间运动刚体加速度瞬轴(或动轴)位置的方法。研究结果表明,对于空间运动的刚体,当角速度矢与角加速度矢平行时,存在加速度瞬轴(或动轴),此时,刚体可视为绕加速度瞬轴(或动轴)作转动,即用加速度瞬轴(或动轴)法求解刚体上任一点的加速度。用这种方法分析空间运动刚体上各点加速度的时候更加方便快捷。

In order to analyze the acceleration of a rigid body in space motion,this paper proposes a method to determine the position of the instantaneous axis of acceleration(or dynamic axis)of a rigid body moving in space in various cases.The results show that,for the rigid body in space motion,when the angular velocity vector is parallel to the angular acceleration vector,there exists the acceleration instantaneous axis(or dynamic axis),at this time,the rigid body can be regarded as rotating around the acceleration instantaneous axis(or dynamic axis),that is,the acceleration instantaneous axis(or dynamic axis)method is used to solve for the acceleration at any one point on the rigid body.It is more convenient and quicker to analyze the acceleration of each point on the rigid body in space motion by this method.