节点外啮合齿轮副设计方法及动力学分析

发布时间：2018-03-29 01:37

本文选题：节点外啮合　切入点：滑动系数　出处：《南京航空航天大学》2012年硕士论文

【摘要】：节点外啮合齿轮啮合时,实际啮合线不经过节点,这样在节点处摩擦力方向不发生改变,降低了传动时的振动和噪声。当齿轮外啮合时采用节点后啮合形式,内啮合时采用节点前啮合形式可以提高齿轮的承载能力及润滑效果。因此,开展对节点外啮合齿轮传动设计及动力学研究的工作具有重要的工程意义。研究了节点外啮合齿轮的各参数间所必须满足的关系,通过改变变位系数,减小齿顶高系数等方法获得节点外啮合齿轮副。对影响节点外啮合程度的各项参数进行了分析,完成了节点外啮合齿轮副的参数设计。针对节点外啮合的啮合特点,研究了外啮合与内啮合齿轮齿廓上综合曲率半径的变化规律,对传统的接触应力计算方法进行了改进,实现了节点外啮合齿轮的接触应力计算；求解了节点外啮合齿轮传动与普通齿轮传动的接触应力,计算结果表明,外啮合齿轮传动采用节点后啮合,内啮合齿轮采用节点前啮合可以提高齿轮传动的接触强度。推导了外啮合与内啮合齿轮滑动系数的计算公式；分析了节点外啮合齿轮传动齿廓上摩擦力对磨损、振动、齿面应力和润滑的影响。以单对节点外啮合齿轮为研究对象,采用集中质量方法,建立了节点外啮合齿轮副动力学模型,在动力学微分方程中考虑了齿面摩擦,时变刚度、传递啮合误差和间隙的影响。推导了系统的无量纲化微分方程组,采用数值积分法求解方程组,得到了齿轮副的动态响应。对比节点外啮合齿轮与普通齿轮传动系统的动载特性可得,节点外啮合齿轮传动系统在啮合线及x轴上的振动均小于普通齿轮传动系统。运用有限元法计算了齿轮副的固有频率和振型,计算结果表面,节点外啮合齿轮传动系统的固有频率高于普通齿轮传动系统。
[Abstract]:The node external gear meshing, the actual meshing line does not pass through the node, this does not change at a node in the direction of friction, reducing vibration and noise transmission. When the gear meshed with nodes meshing form, inner meshed by the node before the mesh form can improve the bearing capacity of the gear and lubrication effect. Therefore that has important practical significance to carry out the design and dynamic analysis of the node external gear transmission.
Study on the relationship between the parameters of the node external gear between which must be fulfilled, by changing the displacement coefficient, reduce tooth addendum coefficient and other methods to get the node external gear pair. The influence of various parameters of node external gearing degree are analyzed, designed node external gear pair.
According to the meshing characteristics of node external gearing, studied comprehensive curvature radius of external and internal gear pair meshing gear tooth profile, the contact stress on the traditional calculation method is improved, the node external gear contact stress calculation; solving the node external gear wheel transmission and gear contact stress, the calculation results show that the external gear drive with internal gear meshing nodes, the nodes can improve the contact strength of the meshing gear.
The formula for calculating the sliding coefficient of external meshing and internal meshing gears is derived, and the influence of frictional force on the wear, vibration, tooth surface stress and lubrication is analyzed.
In order to node external gear as the research object, using the lumped mass method, a node external gear pair in the dynamic model, dynamic differential equations considering the tooth friction, time-varying stiffness, transmission error and backlash meshing. The dimensionless differential equations are deduced by numerical system. Integral method for solving equations, the dynamic response of the gear pair. Comparing the node external gear and common gear transmission system dynamic load characteristics, the vibration in the meshing line and X axis node external gearing system was less than the ordinary gear transmission system. Gear natural frequency and vibration mode are calculated by using the finite element method, the calculation results of the surface, the natural frequency of node external gearing system is higher than that of common gear transmission system.

【学位授予单位】：南京航空航天大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH132.41

【参考文献】