确定盘形凸轮曲率半径的相对加速度法及其应用

提出了一种确定盘形凸轮曲率半径的新方法。该方法基于在世界坐标系中，质点沿空间曲线运动时，其速度，法向(向心)加速度和空间曲线曲率半径之间的关系，利用凸轮与从动件的相对速度和相对加速度来确定凸轮的曲率半径。应用从动件和支承绕凸轮轴线反转的模型，将凸轮与从动件的相对速度和相对加速度转变成绝对速度和绝对加速度，凸轮的曲率半径或理论曲率半径转变为凸轮与从动件接触线或者滚子轴线轨迹的曲率半径；利用复数向量结合从动件坐标系中的分量表达位移，速度和加速度，导出了4种常用凸轮机构的凸轮曲率半径解析表达式。该方法推导凸轮曲率半径解析表达式过程简单，意义明确，适用范围较广。

Determination of radii of curvature of disk cam using relative accelerations of followers

A new approach to determination of di sk -cam curvature radii has been prop osed.The curvature radius of a cam can be determined by the centr ipetal acceleration and velocity of the contact point between the cam and follower or follower roller center with respect to the cam rotating about a fixed axis.The formulae of radius o f curvature are derived for the four ty pes of different cam mechanisms by using the reverse of the follower and fr ame about the cam axis to convert the rela tive velocity and acceleration of th e contact point or roller center into the absolute velocity and acceleration;and complex vector and components i n special coordinates to express dis place-ments,velocities and acceleration s.The proposed method has given the s ame results as the existing methods d o,but it is simpler in derivation and wi der in use.