轴对称物体沿固定球面自由滚下的运动研究(英文)

Motion of an Axially Symmetrical Object Moving Down of a Fixed Ball

对轴对称物体沿固定球表面的运动进行了全面的分析 ,给出了只滚不滑的动力学条件和分离点的运动学特征 ;求出了始滑点、分离点对应的位置与有关物理参数及初始条件之间的关系式 ;指出了有关文献结果的局限性。

A comprehensive investigation of an axially symmetrical object moving on the surface of a fixed ball or cylinder is made in this paper. The kinetic condition of rolling without slipping, kinematic features of the object at the leaving point and the maximum pure rolling angle are discovered. The equations that determine the position of the object starting slipping, maximum rolling angle and leaving angle are derived respectively. The influence of the moment of inertia of the object, the frictional force coefficient on θ s,θ mr  as well as θ 1 are analyzed.