面齿轮蜗杆砂轮瞬时磨削温度数值分析模型  

Numerical analysis model for the instantaneous grinding temperature of face gears with a worm grinding wheel

作　　者：王超[1,2,3] 郭辉 阮宇航[1,2,3] 冉小平 赵宁 WANG Chao;GUO Hui;RUAN Yuhang;RAN Xiaoping;ZHAO Ning(School of Mechanical Engineering,Northwestern Polytechnical University,Xi’an 710072,China;Shaanxi Key Laboratory of Gear Transmission,Xi’an 710072,China;Shaanxi Engineering Laboratory for Transmissions and Controls,Xi’an 710072,China)

机构地区：[1]西北工业大学机电学院,西安710072 [2]陕西省齿轮传动重点实验室,西安710072 [3]陕西省机电传动与控制工程实验室,西安710072

出　　处：《机械传动》2025年第1期20-27,共8页Journal of Mechanical Transmission

基　　金：两机重大专项基础研究项目(J2019-VII-0017-0159);陕西省重点研发计划项目(2021ZDLGY12-03)。

摘　　要：【目的】采用蜗杆砂轮磨削面齿轮时热量分布较为复杂,且集中在轮齿表层,易造成热变形和热损伤。为改善上述情况,建立了面齿轮蜗杆砂轮瞬时磨削温度的数值计算模型,来研究磨削温度的分布规律及其变化规律。【方法】首先,根据磨削过程中面齿轮和蜗杆砂轮的几何接触特性,利用二次曲面对瞬时接触区域进行拟合,推导得出瞬时磨削接触面积的计算式;其次,研究单颗磨粒在磨削过程中的受力情况,考虑磨削过程中瞬时参与磨削的磨粒数以及磨粒平均磨削厚度,得出瞬时磨削切向力和法向力;然后,分析磨削过程中热量的产生和传递规律,构建了面齿轮蜗杆砂轮瞬时磨削温度数值分析模型。最后,进行磨削温度测试试验,以评估所建模型的计算精度。【结果】分析结果表明,瞬时磨削温度在同一齿高位置处,从内径到外径明显逐渐增大;在同一齿宽位置处,从齿顶到齿根,温度逐渐升高但变化较小;瞬时磨削温度随磨削深度、进给速度、砂轮转速的增加而升高,其中,磨削深度和砂轮转速的影响较为显著。[Objective]The thermal distribution during the grinding of face gears using a worm grinding wheel is complex,with the heat being concentrated primarily on the surface layer of the wheel teeth,which can lead to thermal deformation and damage.In order to improve the situation,a numerical computational model for the instantaneous grinding temperature of face gears with a worm grinding wheel was established to investigate the distribution and variation patterns of the grinding temperature.[Methods]Firstly,based on the geometric contact characteristics between the face gear and the worm grinding wheel during the grinding process,a quadratic surface was employed to approximate the instantaneous contact region and derive a calculation formula for the instantaneous grinding contact area.Secondly,the forces acting on individual abrasive grains during the grinding process were analyzed,taking into account factors such as the number of participating abrasive grains and their average grinding thickness,thereby obtaining the instantaneous tangential and normal forces.Subsequently,the generation and transfer of heat during the grinding process were examined,leading to the development of a numerical analysis model for the instantaneous grinding temperature of face gears with a worm grinding wheel.Finally,the proposed model’s computational accuracy was validated through the test of the grinding temperature.[Results]The analysis results demonstrate that the instantaneous grinding temperature significantly increases from the inner diameter to the outer diameter at a fixed tooth height position.Moreover,at a constant tooth width position,the temperature gradually rises from the tooth tip to the tooth root,albeit with a small magnitude of variation.Furthermore,the instantaneous grinding temperature rises with increased grinding depth,feed rate,and wheel speed,with the grinding depth and wheel speed exhibiting more pronounced influences.

关 键 词：面齿轮 蜗杆砂轮磨齿 磨削面积 磨削温度 

分 类 号：TH161[机械工程—机械制造及自动化]