点接触共轭渐开线蜗杆副啮合理论及性能分析  

Meshing theory and performance analysis of point-contact conjugate involute worm gear pair

作　　者：任雯 李杰 王天羽[1,2] 李海涛 REN Wen;LI Jie;WANG Tianyu;LI Haitao(College of Engineering,China Agricultural University,Beijing 100083,China;Mechanical Engineering Training Center,China Agricultural University,Beijing 100083,China)

机构地区：[1]中国农业大学工学院,北京100083 [2]中国农业大学机械工程训练中心,北京100083

出　　处：《北京航空航天大学学报》2024年第10期3183-3195,共13页Journal of Beijing University of Aeronautics and Astronautics

基　　金：直升机传动技术国家重点实验室基金(HTL-O-19G02)。

摘　　要：点接触共轭渐开线蜗杆传动可以降低蜗杆副对制造、装配等误差的敏感性,并能保证传动精度。基于微分几何和齿轮啮合原理,构建了含有制造和安装误差的点接触共轭渐开线蜗杆传动数学模型,研究了螺旋角、模数、压力角等主要设计参数对啮合性能的影响规律,并进行了传动副对制造和安装误差敏感性的研究。通过仿真实验验证了接触区的分布情况。研究结果表明,含有制造和安装误差时,传动副的瞬时传动比恒定;选取适中的螺旋角、较小的模数及较小的压力角会增大接触区的面积,提高传动副的重合度;传动副对制造和安装误差均不敏感,但应尽量减小或避免制造和安装轴交角造成的误差。通过仿真分析得到接触区和重合度与理论计算结果一致,验证了所提理论的正确性。Point-contact conjugate involute worm drive can reduce the sensitivity of the worm gear pair to manufacturing and assembly errors and ensure transmission accuracy.On the basis of differential geometry and gear meshing theory,this paper constructed a mathematical model of point-contact conjugate involute worm drive containing manufacturing and assembly errors,studied the influence of main design parameters such as helix angle,modulus,and pressure angle on the meshing performance,and analyzed the sensitivity of the worm gear pair to manufacturing and assembly errors.Finally,the distribution of the contact area was verified through simulation.The results show that the instantaneous drive ratio of the worm gear pair remains constant with manufacturing and assembly errors.The selection of a moderate helix angle,a small modulus,and a small pressure angle will increase the contact area and raise the contact ratio of the worm gear pair.The worm gear pair is insensitive to manufacturing and assembly errors,but the manufacturing and assembly errors of crossed axis angle should be minimized or avoided.The contact area and contact ratio obtained from the simulation analysis agree with the theoretical calculations,verifying the correctness of the theory.

关 键 词：点接触 共轭 渐开线蜗杆 啮合性能 误差分析 

分 类 号：TH132.4[机械工程—机械制造及自动化]