平面一般运动刚体上点轨迹曲率半径和曲率中心的分布规律研究及应用

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利用相对运动原理说明了平面运动刚体上存在着一个拐点圆,给出了动、静瞬心线各种不同接触情况下拐点圆和刚体上点轨迹曲率半径与曲率中心的确定方法,研究了点轨迹曲率半径和曲率中心的分布规律,讨论了一个鹤式起重机构设计实例. It is shown that there exists an inflection circle on the general plane motion rigid body by the principle of relative motion.Determine methods of the inflection circle,curvature radius and curvature center of the point track on the rigid body are given in the case of the different contact of move instantaneous center line and still instantaneous center line.The regularity of distribution of curvature radius and curvature center of the point track is researched.Design method of the crane mechanism is discussed in the end of this paper.