中文摘要：

提出了面向特大型齿轮的激光跟踪多站位定位测量方法以提高特大型齿轮激光跟踪在位测量系统的齿轮定位精度并精确确定测量仪器与被测齿轮位置与姿态的关系.根据激光跟踪仪多站位测量提供的冗余数据优化求解空间两点间共线方程,建立了特大型齿轮激光跟踪多站位测量模型.然后,提出了利用奇异值分解修正多站位测量模型解析矩阵条件数的方法.实验结果表明,使用多站位测量模型求得的不同站位待测点间距离的标准差的均值为0.008 mm,明显小于直接在不同站位下测量的标准差均值0.024mm,表明多站位测量模型具有良好精度控制效果.本文的研究提高了齿轮定位时所需测量点的三维测量精度,为特大型齿轮激光跟踪多站位测量系统建立齿轮坐标模型提供了可靠的数据来源.

英文摘要：

A mega-gear positioning method based on laser tracker multi-station measurement was developed to improve the positioning accuracy of a mega-gear measuring system based on laser tracker and to ensure the positional and attitude relation between measuring instruments and a gear. The redundant data provided by laser tracker multi-station measurement were used to solve the optimally collinear equation between two points and to establish a multi-station measurement model based on laser tracker. Then, the singular value decomposition was used to correct the conditional number of analytical matrix in the multi-station measurement model. Experimental results show that the standard deviation mean of the distance between different station points obtained by the multi-station measurement mode is 0. 008 mm, which is much less than that （0. 024 mm ）measured by directly measurement method at different stations. These data mean that the multi-station measurement model has a high control ability for measuring precision. The research improves 3D measuring precision of gear positioning and provides a reliable data source for establishing gear coordinate models of the mega-gear measuring system based on laser tracker.