基于关节臂扫描仪的非圆齿轮齿厚加工误差测量方法研究

The study of the non-circular gear tooth thickness processing error measurement method based on the joint arm scanner

针对非圆齿轮几何形状复杂,对其实现加工误差的测量比较困难,提出运用关节臂扫描仪与反求软件对非圆齿轮齿厚加工误差进行测量,并通过第一类曲线积分来获得弧齿厚,计算齿厚加工误差。文章研究实例是三阶非圆齿轮,首先对非圆齿轮进行建模,再把通过关节臂扫描仪在不同位置扫描实体得到的点云与三维理论模型导入反求工程软件进行比较、分析,得到各点测试和参考坐标,利用反三角函数和第一类曲线积分计算齿厚,得出误差。该研究为非圆齿轮齿厚的测量和计算找到了一个新方法,并验证了非圆齿轮齿厚误差与齿轮的扫描位置无关。

Base of the problem of measuring gear’s error is difficult and the geometrical shape of non-circular gears is complex,this paper propose a method to measure the machining error of the non-circular gear tooth thickness by using the joint arm scanner and reverse software,and through the first type of curve integral to gain arc tooth thickness and calculate arc tooth thickness machining error.In this paper,the research example is the third-order non-circular gear.First,the non-circular gear model are built,then the points cloud obtained by scanning the entity at different position with the arm jiont scanner and import the three-dimensional theoretical model and points cloud into the reverse engineering software for comparison and analysis.Then get coordinate of test and reference point,and calculate the tooth thickness by using the inverse trigonometric function and the first kind curve integral.This study has found a new method for the measurement and calculation of the tooth thickness of non-circular gears,and proved the thickness error of non-circular gears independent with the position of gear scan.