运动学中关于点-点相对运动的研究

Research of Relative Motion of the Point to Point in Kinematics

理论力学中用绝对参考系和相对参考系的概念,引出了点的合成运动的理论。在求解某点牵连运动的速度时,给出了牵连点的概念。对于牵连点的选定原因,没有给出具体的解释。另外,理论力学中平面运动刚体上点的运动同样以合成运动为基础推导而来,但疑似把本来很简单的问题复杂化了。本文提出点与点的相对运动的概念,并用实例说明点与点相对运动的应用。分析表明,在点的合成运动一章之前,加入点与点相对运动的概念,将使点的合成运动中牵连点的选择理由和平面运动刚体上点的研究变得水到渠成。

Theory of composite motion of points has been defined with the concept of absolute reference frame and relative reference frame in theoretical mechanics course. The concept of involvement point is given out to analy the speed of transport motion,but there is not a specific explanation for the reason of how to select the connection point. In addition,the motion law of points in the plane motion of rigid body is analyzed on the basis of synthesis of movement,but a very simple question is complicated. The concept of the relative motion of point to point is proposed,and applied to bulk velocity and plane motion analysis. Analysis shows that the concept of the relative motion of point to point inserted before the point of synthetic movement theory,is conducive to the understanding of the choice of transport point and plane movement.