圆弧齿线圆柱齿轮等温弹流润滑模型建立及分析  

Analysis and Establishment of the Isothermal Elastohydrodynamic Lubrication Model of the Cylindrical Gear with Arcuate Tooth Trace

作　　者：周波[1] 侯力[1] 魏永峭[1] 李波[1] 

机构地区：[1]四川大学制造科学与工程学院,四川成都610065

出　　处：《机械传动》2015年第3期18-22,共5页Journal of Mechanical Transmission

基　　金：国家自然科学基金(51375320)

摘　　要：圆弧齿线圆柱齿轮具有承载能力高、接触强度大、传动平稳等优点,但也存在齿面磨损、点蚀、胶合等失效形式,这主要是由于润滑不良造成的,因此保证其良好的润滑性能十分关键。分析圆弧齿线圆柱齿轮的啮合接触过程,简化其接触模型,并基于弹流润滑理论建立了圆弧齿线圆柱齿轮等温弹流润滑的物理模型及数学模型。通过直接迭代法和Fortran语言编程进行数值求解,得到其油膜特性曲线,并分析比较了卷吸速度、载荷以及润滑油黏度对油膜压力和膜厚的影响。结果显示,卷吸速度是影响膜厚最重要的因素,润滑油黏度对油膜压力和膜厚都有着重要的影响,载荷的影响程度则相对较小。此外,用膜厚比判断齿轮润滑状态,在进行圆弧齿线圆柱齿轮设计时,使其尽量接近完全弹流润滑状态。The cylindrical gear with arcuate tooth trace has advantages of high bearing capacity,high contact strength and steady transmission,etc.But there are also failure modes such as the wear of tooth surface,pitting and scuffing when it drives,it is mainly because of the bad lubricating condition.So ensuring that it is always in good lubricity would be critical.After analyzing the meshing contact process of cylindrical gears with arcuate tooth trace,the contact model of gears is simplified.Based on the elastohydrodynamic lubrication theory,the physical and mathematical model of isothermal elastohydrodynamic lubrication for the cylindrical gear with arcuate tooth trace are established.Through the direct iterative method and Fortran procedure,the numerical solution of the model is solved and the characteristic curves of oil film are got.The influences that entrainment velocity,load and viscidity bring to lubrication characters of the cylindrical gear with arcuate tooth trace are analyzed and compared.The results show the entrainment velocity is the most important cause for the oil film thickness,the viscidity has important influences both on the oil film pressure and thickness,and the load influences less relative to other two factors.Besides,using the oil film thickness ratio,the lubrication state of gears could be estimated,which helps keeping gears approach the elastohydrodynamic lubrication state when designing.

关 键 词：圆弧齿线圆柱齿轮 线接 弹流润滑 油膜压力 油膜厚度 

分 类 号：TH132.41[机械工程—机械制造及自动化]