中文摘要：

针对齿轮参数激光周扫检测系统精度分析问题,应用拓扑分析方法与多体运动学理论建立了齿轮测量数学模型,把误差分析问题转化为坐标系变换问题,解决了通过传统的误差传递方法难以探究高复杂度系统检测精度的难题;通过数值仿真分别分析了12个单项误差源对该系统检测精度的影响,综合误差计算表明：基于目前的转台制造精度和激光检测水平,该系统检测精度可达0.003mm。

英文摘要：

In view of the detection precision of gear parameter laser circling scan system,a mathematical model of the gear measurement is constructed by using topology analysis method and multi-body kinetics theory. Then the error analysis problem is transformed into the problem of coordinate system transformation,and the problem of the system detection accuracy with high complexity is solved,which is difficult to be explored by the traditional error transfer methods. In addition,the effect of 12 single error sources on the detection precision of the system is analyzed through numerical simulation. The calculation result of comprehensive error shows that the detection accuracy of the system can reach 0. 003 mm based on the current turntable manufacturing precision and laser detection level.