为了提高平面包络环面蜗杆齿面的加工精度，提出了环面螺旋线误差检测、加工误差溯源及修正加工方法．以微分几何和啮合理论为基础，建立了平面包络环面蜗杆的齿面方程、环面螺旋线数学模型及带误差的环面螺旋线数学模型，分析了测头半径补偿原理及误差评定方法．利用研制的环面蜗杆检测仪检测了样件齿面螺旋线误差，应用遗传算法进行了误差溯源分析，并以溯源结果为基础，修正加工了样件齿面．结果表明，修正加工后的样件齿面螺旋线误差从0．140 mm降至0．025 mm．%In order to improve the manufacture precision of planar enveloping hourglass worm tooth surface,a method for the helix error testing,tracing,and correction was proposed. Based on the theory of differential geometry and gear meshing,mathematical models for the tooth surface,the hourglass helix,and the hourglass helix with manufacturing errors were established for the planar enveloping hourglass worm. The principle of probe radius compensation and the method of error assessment were analyzed. In addition,the helix error of the prototype tooth surface was tested using the developed hourglass worm detector,and the error tracing was analyzed by the genetic algorithm. The prototype tooth surface was then amended and manufactured based on the results of error tracing. The results show that through the error tracing and error correction,the helix error of the prototype tooth surface was reduced from 0. 140 to 0. 025 mm.
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