论文部分内容阅读
作为平面摆线和球面摆线概念的推广,本文建立了空间摆线的概念,即动园和定园的轴线不相交、距离和夹角保持定值而滚动时,动园园周上一点的轨迹。本文给出了空间摆线的参数方程(2)式或(4)式,并指出了空间两个旋转运动合运动的相对轨迹为一空间摆线,特别当两旋转轴平行时为一平而摆线,当两旋转轴相交时为一球而摆线。
As a generalization of the concepts of the plane cycloid and the spherical cycloid, the concept of space cycloid is established in this paper. When the axes of the moving garden and the stationary garden do not intersect and the distance and angle keep rolling for a fixed value, Trajectory. In this paper, the equation (2) or (4) of the space cycloid is given. It is pointed out that the relative trajectory of the two combined rotations in space is a space cycloid, especially when the two rotation axes are parallel Line, when the two axes of rotation intersect as a ball and cycloid.