弹流润滑下考虑切片耦合的直齿轮啮合刚度的迭代模型  

An iterative model for mesh stiffness of spur gears considering slice coupling under elastohydrodynamic lubrication

作　　者：黄文康 马辉 赵志芳 王鹏飞 彭志科 张晓旭 赵松涛 HUANG Wen-kang;MA Hui;ZHAO Zhi-fang;WANG Peng-fei;PENG Zhi-ke;ZHANG Xiao-xu;ZHAO Song-tao(School of Mechanical Engineering and Automation,Northeastern University,Shenyang 110819,China;Key Laboratory of Vibration and Control of Aero-Propulsion System of Ministry of Education,Northeastern University,Shenyang 110819,China;Institute of Vibration Shock&Noise,State Key Laboratory of Mechanical System and Vibration,Shanghai Jiao Tong University,Shanghai 200240,China;Harbin Marine Boiler and Turbine Research Institute,Harbin 150078,China;School of Mechanical Engineering,Tongji University,Shanghai 201804,China)

机构地区：[1]School of Mechanical Engineering and Automation,Northeastern University,Shenyang 110819,China [2]Key Laboratory of Vibration and Control of Aero-Propulsion System of Ministry of Education,Northeastern University,Shenyang 110819,China [3]Institute of Vibration Shock&Noise,State Key Laboratory of Mechanical System and Vibration,Shanghai Jiao Tong University,Shanghai 200240,China [4]Harbin Marine Boiler and Turbine Research Institute,Harbin 150078,China [5]School of Mechanical Engineering,Tongji University,Shanghai 201804,China

出　　处：《Journal of Central South University》2023年第10期3414-3434,共21页中南大学学报（英文版）

基　　金：Project(N2103024)supported by the Fundamental Research Funds for the Central Universities,China。

摘　　要：弹流润滑在减少齿轮表面的变形和摩擦方面起着关键作用,可提高齿轮传动的稳定性和可靠性。本文提出了一个模型来研究直齿轮中弹流润滑与时变啮合刚度之间的复杂关系,旨在求解弹流润滑下的直齿轮时变啮合刚度。本模型考虑了弹流润滑、切片耦合、延长啮合、齿轮体柔性耦合和修正的轮齿刚度的影响。为提高准确性,通过去除能量的重复计算来修正轮齿刚度。此外,还推导了切片耦合与变形协调方程之间的迭代关系。提出的模型通过MASTA软件和参考文献进行验证。分析了弹流润滑和切片耦合对直齿轮啮合特性的影响。研究结果显示,考虑切片耦合后,带有鼓向修形的直齿轮的时变啮合刚度显著增大,并且导致边缘的集中载荷转移到齿面的中间部位。Elastohydrodynamic lubrication(EHL)plays a crucial role in reducing surface deformation and friction,leading to improved stability and reliability of gear transmissions.A model is proposed to investigate the complex relationship between EHL and time-varying mesh stiffness(TVMS)in spur gears,aiming to solve the TVMS under EHL.The proposed model incorporates EHL,slice coupling,extended tooth contact(ETC),gear body coupling flexibility,and modified tooth stiffness.To enhance accuracy,the tooth stiffness is adjusted by eliminating redundant energy calculations.Furthermore,an iterative relationship between slice coupling and deformation compatibility equations(DCE)is derived.The proposed model is validated by MASTA and reference.The effects of EHL and slice coupling on meshing characteristics are analyzed.The findings reveal that the TVMS of gears with crowning increases significantly after considering slice coupling and the load distribution shifts towards the middle of the tooth side.

关 键 词：弹流润滑 时变啮合刚度 切片耦合 变形协调方程 

分 类 号：TP3[自动化与计算机技术—计算机科学与技术]