面齿轮功率分支传动系统的转矩分配研究  

Study on Torque Distribution of Torque Split Transmission System of Face Gear

作　　者：彭先龙[1] 张乐[1] 

机构地区：[1]西安科技大学机械工程学院,陕西西安710054

出　　处：《机械传动》2016年第11期117-122,共6页Journal of Mechanical Transmission

基　　金：国家自然科学基金(51605378);中国博士后科学基金(2016M592814);陕西省自然科学基金(2015JQ5195)

摘　　要：为了研究安装误差、支撑变形对面齿轮功率分支传动系统转矩分配的影响,提出了面齿轮功率分支传动系统的转矩分配计算方法。首先通过转矩平衡方程和变形协调条件建立了面齿轮功率分支传动系统的转矩分配模型,变形协调条件与齿轮副的时变啮合刚度直接关联;其次对面齿轮传动进行了受力分析,由此阐述了支撑系统的变形,并将支撑变形转化为齿轮的安装误差;再次通过齿面接触分析和轮齿承载接触分析,将齿轮副的啮合刚度拟合为载荷的函数;最后提出了系统均载系数的计算方法。数字计算实例表明,在安装误差和支撑变形的综合作用下,系统两个分支的均载系数分别为0.55和1.45,当小齿轮径向支撑变形(a_(x1))取-692.3μm时,两个分支的均载系数为0.987 0、1.013。因此小齿轮径向支撑变形(a_(x1))可以在一定程度上抵消安装误差、支撑变形对转矩分配不均等的影响。In order to research the influence of installation errors and support deformations on load distribution in the torque split transmission system of face gear, a calculating method for load distribution of torque split transmission system of face gear is proposed. At first, the model of load sharing for torque split transmission system of face gear is established by torque balance equation and deformation compatibility condition, and the deformation compatibility condition directly relate to time - vary meshing stiffness of gear pair. Secondly, the force on the face gear is analyzed, and the form that the deformation of support system is described, the support deformation is translated to errors of gear. Thirdly, the meshing stiffness of gear pair is fit as function of load by tooth contact analysis （TCA） and loaded tooth contact analysis （LTCA）. At last, the calculation meth- od for coefficients of load sharing is proposed. Numerical example demonstrates that the coefficients of two path in the system is respectively 0. 65 and 1.35 under the combined effects of installation errors and support deformation, while the radial support deformation axl of the pinion is - 692. 3 Ixm, the coefficients of the two path is respectively 0. 987 0 and 1. 013. Hence, the radial elastic support axl of the pinion, to some extent, is able to offset the influence of unequal torque splitting caused by installation errors and support deformation.

关 键 词：面齿轮 功率分支 支撑变形 啮合刚度 均载 

分 类 号：TH132.41[机械工程—机械制造及自动化]