空间任意运动刚体速度瞬轴位置的分析

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

针对刚体空间任意运动的速度分析,本文提出了“轴向速度投影定理”。基于该定理,本文分析了空间任意运动刚体速度瞬轴位置的情况。研究结果表明,对于空间任意运动的刚体,有时候存在速度瞬轴,有时候不存在速度瞬轴。存在速度瞬轴的时候,刚体绕速度瞬轴作转动或瞬时转动;不存在速度瞬轴的时候,它存在一根速度动轴,刚体沿速度动轴方向作螺旋运动或瞬时螺旋运动。在此基础上,分析空间任意运动刚体上各点速度的时候就更加方便快捷。

For the velocity analysis of arbitrary motion of a rigid body in space,the“axial velocity projection theorem”is proposed in this paper.Based on this theorem,the velocity transient axis of a rigid body with arbitrary motion in space is analyzed in this paper.The results show that for a rigid body moving arbitrarily in space,sometimes there is a velocity transient axis and sometimes there is not.When the velocity transient axis exists,the rigid body rotates or transiently rotates around the velocity transient axis;when the velocity transient axis does not exist,it has a velocity dynamic axis,and the rigid body makes spiral motion or transient spiral motion along the velocity dynamic axis direction.On this basis,it is easier and more convenient to analyze the velocity of each point on a rigid body moving arbitrarily in space.