时变摩擦系数对准双曲面齿轮动力学行为的影响  

Effects of time-varying friction coefficient on hypoid gear dynamics

作　　者：冯治恒[1] 王时龙[1] 雷松[1] 萧红[1] 

机构地区：[1]重庆大学机械传动国家重点实验室,重庆400044

出　　处：《重庆大学学报（自然科学版）》2011年第12期9-15,共7页Journal of Chongqing University

基　　金：国家杰出青年科学基金资助项目(50925518);'高档数控机床与基础制造装备'科技重大专项资助项目(2009ZX04001-081)

摘　　要：建立了考虑时变摩擦系数和润滑状态的准双曲面齿轮14自由度非线性动力学模型。提出了准双曲面齿轮混合弹流润滑摩擦模型,反映了齿轮传动系统的润滑状态,即齿面啮合既有润滑油膜接触又有粗糙峰接触的混合状态。在混合弹流润滑状态下,对时变摩擦系数对齿轮系统动力学行为的影响作了深入分析。通过载荷承载系数求出啮合线上各接触点瞬时摩擦系数并带入系统动力学方程中,考察了齿轮系统动态啮合力和传递误差变化趋势,对比了恒定摩擦系数和时变摩擦系数对齿轮动态响应的影响。不同载荷和速度下的仿真结果表明,时变摩擦系数对准双曲面齿轮系统动力学行为具有轻微的影响。This paper develops a generalized 3-dimensional 14-DOF dynamic model for hypoid gear which considers the time-varying friction coefficient and lubrication situation.We propose a mixed elastohydrodynamic lubrication（EHL） friction model of hypoid gear tooth contact to reflect the realistic lubricant situation in gear transmission system consisted of full film contact and asperity contact.Under the mixed lubrication condition,the effects of time-varying friction coefficient on gear dynamic is analyzed.The load sharing coefficient is used to calculate the instantaneous friction coefficient at each contact point along the contact path.Friction coefficient model based on mixed elastohydrodynamic lubrication（Mixed EHL） is incorporated into the dynamic model to predict the dynamic mesh force and transmission error with constant and time-varying friction coefficient.The simulation results under a wide range of speed and load show that the time-varying friction coefficient has a marginal effect on the dynamic response.

关 键 词：混合弹流润滑 时变摩擦系数 非线性动力学 动态啮合力 动态传递误差 

分 类 号：TH113.4[机械工程—机械设计及理论]