为验证高阶椭圆锥齿轮副设计及加工的正确性，针对高阶椭圆锥齿轮插齿包络法加工得到的齿轮实体，提出高阶椭圆锥齿轮齿距误差的三坐标测量法。根据齿轮啮合原理，建立该锥齿轮齿距误差测量评价的数学模型。采用三坐标测量法，通过对高阶椭圆锥齿轮样件的实际测量，分析处理三坐标测量机上获得的坐标点集，从而获得理想元素。经数据处理后可以分析得到非圆锥齿轮的节曲线拟合曲线、单个齿距误差以及齿距累计误差。测量分析结果与理论计算结果基本吻合，表明所建立的高阶椭圆锥齿轮齿距误差评定方法是可行的。

Based on the prototype workpiece which is manufactured according to the high-order oval gear envelope method,a measurement method of high-order oval bevel gear is proposed in order to verify the correctness of design and manufacture method for this gear pair. The mathematical model of measurement and evaluation is established according to the spatial gear engagement theory. Then the coordinate point set obtained from three-dimensional measuring machine is analyzed and filtered based on the actual measurement on prototype workpiece. Therefore,the ideal element is available. And then the aberration curve of pitch curve,individual circular pitch error and accumulated error can be obtained after analyzing the point set. Finally,the conclusion that the high-order oval bevel gear pitch error evaluation method is feasible can be obtained because the measurement and analysis result dovetailed basically with the theoretic calculation result.

国家自然科学基金资助项目(51275537,50875269)