Abstract:

Based on the analysis of the mathematic model of globoidal cam profile surface, the coordinate measuring machine was used to inspect the point coordinates of cam profile with the equal radius. A point by point comparision method was described with which all the measured data were used to calculate the position relation between the measuring coordinate system and the cam coordinate system. A least squares B spline fitting method was also introduced to approximate all coordinate data in the cam coordinate system. Based on the conjugate relations at the contact point between the fitted curve and the follower, the real follower movement can be solved to evaluate the transmission quality of globoidal cam profile surface. At last, a practical example was given to show the effectiveness and usefulness of the proposed algorithm.

Key words: globoidal cam, coordinate measuring machine(CMM), curve fitting, transmission quality evaluation

摘要：

在分析了弧面凸轮廓面数学模型的基础上，利用三坐标测量机对弧面凸轮廓面进行了等径点位测量，并提出了一种逐点比较法，将所有的测量数据用于确定凸轮坐标系与测量坐标系的位置关系。用非均匀B样条曲线拟合所有凸轮坐标系中的点坐标数据，由拟合曲线和滚子共轭运动的啮合方程求解实际共轭运动，从而评价弧面凸轮廓面的传动质量。最后，通过一个检测实例验证了该算法的正确性和可行性。

关键词: 弧面凸轮；三坐标测量机；曲线拟合；传动质量评价