非圆齿轮三维齿面误差测量技术研究

Research of Measurement Technology of 3D Tooth Surface Error of Non-circular Gear

为了提高非圆齿轮的测量精度,提出了一种非圆齿轮齿面的三维测量方法。根据非圆齿轮啮合原理,建立非圆齿轮的齿面模型,完成了非圆齿轮的三维实体建模。为了比较真实地反映齿面的几何形状信息,提出了一种利用截交线对齿面进行等弧长采样的方法,对非圆齿轮齿面进行网格化划分。以椭圆齿轮为例,通过Einscan-SP扫描仪得到非圆齿轮的三维实体模型,利用Geomagic Qualify软件进行体模型与理论模型的对齐,并对对齐的齿面进行网格化划分得到非圆齿轮齿面的三维误差值。此方法消除了二维定位误差对测量精度的影响,提高了非圆齿轮的测量精度。

In order to improve the measurement accuracy of non-circular gears, a three-dimensional measurement method for non-circular gear tooth surfaces is proposed. According to the basic meshing principle of the non-circular gear, the tooth surface model of the non-circular gear is established, and the three-dimensional solid modeling of the non-circular gear is completed. In order to reflect the geometry information of the tooth surface more realistically, a method of sampling the tooth surface with equal arc length by using the intersection line is proposed, and the non-circular gear tooth surface is meshed. Taking the elliptical gear as an example, the three-dimensional solid model of the non-circular gear is obtained by Einscan-SP scanner. The Geomagic Qualify software is used to align the solid model with the theoretical model, and the aligned tooth flanks are meshed to obtain the three-dimensional error value of the tooth surface of non-circular gear. This method eliminates the influence of the two-dimensional positioning error on the measurement accuracy and improves the measurement accuracy of the non-circular gear.