螺旋锥齿轮副有限元分析及优化

Analysis and Optimization on Spiral Bevel Gear Pair Based on Finite Element Method

摘要: 本文在格里森校核公式的基础上，将有限元方法应用于螺旋锥齿轮副的疲劳承载能力分析与优化。建立了精确的螺旋锥齿轮副有限元分析模型，得到了齿面啮合印迹、接触应力、齿根弯曲应力、传动误差以及实际重合度，更全面地评价了螺旋锥齿轮副的综合性能。最后利用有限元方法对某齿轮副的刀尖圆角半径、刀具修形和齿厚进行了优化，并进行了试验。台架试验结果表明：有限元方法分析结果与台架试验基本相同，通过有限元方法能够有效地分析优化螺旋锥齿轮副的疲劳承载能力。

Abstract: The finite element method (FEM) is applied to the analysis and optimization of the fatigue capacity of spiral bevel gear pairs on the basis of Gleason rating method. The accurate finite element analysis model of spiral gear is established. The contact pattern, contact stress distribution, bending stress of tooth root, transmission error and the actual contact ratio are obtained based on FEM. The com-prehensive performance of spiral bevel gear pair is evaluated. Finally, the radius of cutter tip, the tool modification and the tooth thickness are optimized based on the finite FEM, and the experi-mental verification is carried out. The bench test results show that the results of the finite element method are basically the same as those of the bench test, and the FEM can effectively analyze and optimize the fatigue capacity of the spiral bevel gear pair.