扭转刚度对双输入圆柱齿轮分流传动系统动力学均载系数的影响  

Impact of torsional stiffness on dynamic load sharing coefficient of two-input cylindrical gear split-torque transmission system

作　　者：桂永方[1] 朱如鹏[1] 扶碧波[2] 李海峰[2] 王祈波 靳广虎[1] 李枝军[1] 

机构地区：[1]南京航空航天大学机电学院江苏省精密与微细制造技术重点实验室,南京210016 [2]中国航空工业集团公司中国航空动力机械研究所,湖南株洲412002

出　　处：《航空动力学报》2014年第9期2264-2272,共9页Journal of Aerospace Power

基　　金：国家自然科学基金(50775108);高等学校博士学科点专项科研基金(20113218110017);江苏省普通高校研究生科研创新计划(CXZZ11_0199);江苏高校优势学科建设工程

摘　　要：建立了双输入圆柱齿轮分流传动系统的弯扭耦合动力学模型,模型中考虑了各齿轮副间的时变啮合刚度、齿侧间隙、啮合误差、啮合阻尼等因素.结合闭环结构特点,利用齿轮啮合线的相对位移和传动轴扭转位移消除方程中的刚体位移.采用4阶Runge-Kutta法求解系统动力学方程,获得了系统均载系数.结果表明:系统均载系数受输入轴扭转刚度影响小;分流级和并车级均载系数对双联齿轮轴的扭转刚度敏感,减小双联齿轮轴的扭转刚度可以改善系统的均载性能,当双联齿轮轴的扭转刚度小于1.1×105(N·m)/rad时,可将系统均载系数控制在1.06以内;输出轴扭转刚度的变化对分流级和并车级均载系数基本没有影响.A dynamic model with bend-torsion coupling was established for two-input cylindrical gears split-torque transmission system, in which the time-varying mesh stiffness, backlashes, mesh errors and mesh damping of gear pairs were considered. With use of the characteristics of closed loop structure, differential equations could be obtained without rigid displacement, using the relationship between relative meshing displacement and the transmission shaft torsional displacement. Through solving the dynamic equation of system by the fourth-order Runge-Kutta method, the load sharing coefficients of system were acquired. The results show that load sharing coefficient of system is little influenced by torsional stiffness of input shaft. The load sharing coefficient of split and synthesized torque stages is sensitive to torsional stiffness of duplicate gear shaft, and reduction of the torsional stiffness of duplicate gear shaft contributes to the improvement of load sharing performance of system. When torsional stiffness of duplicate gear shaft is less than 1.1 × 10^5（N · m） /rad, the load sharing coefficient of system is less than 1.06. Torsional stiffness of output shaft has no sig- nificant effect on the load sharing coefficient of split and synthesized torque stages.

关 键 词：齿轮 动力学分析 均载系数 刚度 分流传动系统 

分 类 号：V275[航空宇航科学与技术—飞行器设计] TH132.4[机械工程—机械制造及自动化]