基于点集拓扑学涡旋曲面轮廓度误差评定

Evaluating of surface profile error for scroll compressor based on point set topology

对自由曲面的轮廓度误差进行评定是精密测量中的一个难点。在涡旋压缩机制造过程中,检测方面亟待解决涡旋齿曲面轮廓度误差评定问题。点集拓扑学运用于曲面轮廓的表述,具有原理清晰、数据处理简洁的特点,据此建立曲面轮廓度评定数学模型,结合涡旋齿曲面型线特征的分析,通过从空间坐标系的建立、点到曲面距离的计算、曲面平动与旋转等方面构建适用于涡旋齿曲面的最小二乘轮廓度误差评定算法。实例研究中,采用德国卡尔蔡司三坐标UMC550采集的点位数据应用到评定算法中计算轮廓度值,实验验证了基于点集拓扑原理构建涡旋曲面轮廓度误差评定模型算法的有效性及高精度,为自主开发涡旋型线检测专机中涡旋轮廓度评定软件提出了一种解决办法,具有较高的应用参考价值。

The error evaluation of free surface profile is a difficulty in precision measurement. The unified mathematical model for evaluating surface contour errors is created with the theory of point set topology. On this basis, combining with the characteristics of scroll type line, profile error evaluation algorithm for the scroll plate is established. Carl Zeiss UMC550 is used in the experi- ment, the data from the UMC550 is applied to the proposed algorithm, the result compares to calculation value of UMC550, and it shows the two results are basically identical. The precision of the proposed algorithm reached the level of the included software al- gorithm in UMC550, and also the proposed algorithm has higher application value for self-developed measurement software of scroll compressor.