摘要
基于三坐标测量机的测量方式,针对圆柱蜗杆提出了一种补偿安装偏心所产生的系统误差算法。通过对坐标变换和最小二乘法等数学方法的运用,建立了蜗杆安装偏心的数学模型,并将待估的偏心参数写入到若干个非线性方程中。利用最小二乘的广义逆法求解方程,结果证明了该算法在解决此类问题时的有效性,同时仿真试验也给出了补偿算法的收敛特性和精确程度。
In order to improve the accuracy in automatic measurement of involute spur gear, this paper builds up a method of compensation model for the installation eccentricity compensation which is caused by the mismatching between the machine revolving axis and the gear axis during measurement. And then the tooth surfaces were fitted by least-squares method, meanwhile the calculation results can be obtained by non-linear generalized inverses algorithm. It is proved that the algorithm has higher precision. And the stability and precision is better with the increase of the number of data point. This algorithm has well application, and can be applied on all of the involute spur gear through suitable transformation.
出处
《新技术新工艺》
2010年第1期34-37,共4页
New Technology & New Process
关键词
蜗杆
偏心
补偿
最小二乘法
Coordinate, Gear, Eccentricity, Least square method, Generalized inverse
