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该文从平面滚柱凸轮机构的共性研究出发，引入输入、输出广义坐标的概念，用微分形式的矢量函数方程描述平面滚柱凸轮机构滚柱与凸轮之间的数学关系，推导出了平面滚柱凸轮机构凸轮曲线方程组的一般形式。在推导和计算过程中，该文以滚柱轴心相对凸轮运动的轨迹为核心和桥梁，将平面滚柱凸轮机构的数学描述分成密切相关的２个部分，使得正、反面设计计算的思路明确，便于用计算机进行平面滚柱凸轮机构复杂凸轮曲线的设计计算。这种思路和方法也适用于滚柱和滚锥体输送机构中的平面复杂凸轮曲线的设计计算。
This paper starts from the common research of planar roller cam mechanism, introduces the concept of inputting and outputting generalized coordinates, and describes the mathematical relationship between roller and cam of the planar roller cam mechanism by the differential vector function equation. General form of cam curve equations for column cam mechanism. In the process of derivation and calculation, the paper takes the trajectory of roller shaft relative to cam movement as the core and bridge, divides the mathematical description of plane roller cam mechanism into two closely related parts, making the calculation of positive and negative design clear , Easy to use computer for the calculation of the complex cam curve of the planar roller cam mechanism. This idea and method are also applicable to the design and calculation of plane complicated cam curves in the roller and roller conveyor mechanism.