基于时变啮合力的非圆齿轮传动动态磨损研究

Research on Dynamic Wear of Non-circular Gear Transmission Based on the Time-varying Meshing Force

由非圆齿轮变速比传动特性引起的时变啮合力对轮齿传动磨损具有重要影响,以精梳机中关键核心部件的椭圆齿轮副为研究对象,应用Hertz基础理论和Archard磨损公式,建立了基于时变啮合力的齿轮磨损计算模型,采用当量齿数法对非圆齿轮的啮合刚度进行求解,分析了单个齿廓的时变啮合力和磨损量的变化规律;在此基础上,研究了阶数和偏心率对椭圆齿轮时变啮合力及磨损量的影响。结果表明,齿轮时变啮合力和齿面磨损量随着偏心率和椭圆齿轮阶数的增加呈现不同程度的增加;时变啮合力在单双齿啮合区交界处发生突变;齿廓磨损量在节圆附近接近零,在齿根和齿顶处的磨损量较大。在对非圆齿轮不同节曲线向径处的磨损量进行研究时发现,在最小节曲线向径处的齿根磨损量显著大于最大节曲线向径处。该研究结果为使用修形方法降低时变啮合力与磨损量,从而延长齿轮寿命提供了一定的理论依据。

The time-varying meshing force caused by the transmission characteristics of non-circular gears has an important influence on gear drive wear.The elliptic gear pair of the key core components in combing machine is taken as the research object,and a calculation model of gear wear based on the timevarying meshing force is established by applying Hertz basic theory and Archard wear formula.The meshing stiffness of non-circular gears is solved by using the equivalent tooth number method,and the dynamic meshing force and wear of single tooth profile are analyzed.On this basis,the effects of order and eccentricity on dynamic meshing force and wear of elliptical gears are studied.The results show that the dynamic meshing force and wear of gear surfaces increase with the increase of eccentricity and order of elliptical gears.The time-varying meshing force changes at the junction of single and double tooth meshing zone.The tooth profile wear is close to zero near the pitch circle,and the wear is larger at the root and the crown.It is found that the root wear at the radial of the smallest section curve is significantly larger than that at the radial of the largest section curve.The results provide a theoretical basis for using the modification method to reduce the dynamic meshing force and wear,thus prolonging the life of gears.