Liu Ganhua, Huo Xiaodong, Deng Shiyi
School of Mechanical and Electrical Engineering, Jiangxi University of Science and Technology, Ganzhou 341400, China.
Materials (Basel). 2023 Jun 4;16(11):4183. doi: 10.3390/ma16114183.
The tooth surface structure of spiral bevel gear is complex and requires high machining accuracy. In order to reduce the tooth form deformation of heat treatment, this paper proposes a reverse adjustment correction model of tooth cutting for heat treatment tooth form deformation of spiral bevel gear. Based on the Levenberg-Marquardat method, a stable and accurate numerical solution for the reverse adjustment amount of the cutting parameters is solved. Firstly, a mathematical model of the tooth surface of spiral bevel gears was established based on the cutting parameters. Secondly, the effect law of each cutting parameter on tooth form was studied by using the method of small variable perturbation. Finally, based on the tooth form error sensitivity coefficient matrix, a reverse adjustment correction model of tooth cutting is established to compensate the heat treatment tooth form deformation by reserving the tooth cutting allowance in the tooth cutting stage. The effectiveness of the reverse adjustment correction model of tooth cutting was verified through experiments on reverse adjustment of tooth cutting processing. The experimental results show that the accumulative tooth form error of the spiral bevel gear after heat treatment is 199.8 μm, which is reduced by 67.71%, and the maximum tooth form error is 8.7 μm, which is reduced by 74.75%, after reverse adjustment of cutting parameters. This research can provide technical support and a theoretical reference for heat treatment tooth form deformation control and high-precision tooth cutting processing of spiral bevel gears.
螺旋锥齿轮的齿面结构复杂，对加工精度要求高。为减少热处理齿形变形，本文提出了一种针对螺旋锥齿轮热处理齿形变形的切齿反向调整修正模型。基于列文伯格-马夸尔特法，求解了切削参数反向调整量的稳定精确数值解。首先，基于切削参数建立了螺旋锥齿轮齿面的数学模型。其次，采用小变量扰动法研究了各切削参数对齿形的影响规律。最后，基于齿形误差敏感系数矩阵，建立了切齿反向调整修正模型，通过在切齿阶段预留切齿余量来补偿热处理齿形变形。通过切齿加工反向调整实验验证了切齿反向调整修正模型的有效性。实验结果表明，切削参数反向调整后，螺旋锥齿轮热处理后的累积齿形误差为199.8μm，减小了67.71%，最大齿形误差为8.7μm，减小了74.75%。该研究可为螺旋锥齿轮热处理齿形变形控制及高精度切齿加工提供技术支持和理论参考。
