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Splines have many advantages such as high transmission torque, self-centering and so on, and have a wide range of applications in the transmission system. Ideally, splines are evenly loaded on each tooth. However, manufacturing and installation errors can cause differences in tooth clearances, and load is no longer evenly distributed between spline teeth, which reduces the spline life. In the environment of vibration, the relative radial movement between internal splines and external splines causes the relative clearance of each tooth to change continuously, and the load distribution between spline teeth is more complicated. In order to further understand the load distribution rule between spline teeth, the dynamic model of centering spline pair on the tooth side is established, and Newmark-β method is used to solve the system dynamic equation. The calculation results show that the engagement forces of spline teeth are very sensitive to tooth side clearance and are prone to the offset load. In addition, the influence of the contact length and the precision class on the load distribution between spline teeth is discussed. It is found that the longer the contact length and the lower the precision class, the worse the spline bias load will be. Finally, the contact analysis of the tooth-side mating spline pair is carried out and the meshing forces of each spline tooth calculated by two methods are compared, which verifies the correctness of the model in this study.

Aiming at the actual working conditions of high temperature， high speed and heavy oil mist of the accessory transmission gear of aero engine， a set of the gear dynamic transmission error test system is designed and developed based on the principle of the quadruple subdivision of magnetic grid sensor. In this system， the real-time rotation angel of the driving gear and driven gear is respectively measured at the same time by magnetic grid sensor， through the high-speed data acquisition， storage devices of NI and the producer/consumer design pattern of LabVIEW for real-time acquisition and storage of the high-frequency data. Finally， the digital counting method is used to obtain the gear dynamic transmission error curve. The measuring speed of the testing system can reach 40 000 r/min， which is doubled the measurable speed of the previous test system， it can provide data support for vibration analysis and tooth surface design of higher-speed accessories transmission gear.

Analysis of the dynamic meshing force of face gear is the important content in the design of face gear drive with high quality.Based on the secondary development of CATIA and the principle of gear machining,the 3Dgeometric modeling of face gear for finite element analysis is obtained.Based on basic theory of contact dynamics,the reasonable finite element analysis model is built and the reasonable parameters are determined.The finite element simulation analysis and study of the dynamic meshing of face gear are carried out by using the ABAQUS,the variation law of the tooth surface contact force and the tooth root bending stress of face gear in the process of continuous mesh and the association law of the among the speed,load and tooth surface dynamic meshing are obtained.It will be provide some reference value for dynamic performance analysis of high-performance face gear drive.

The effects of directional rotation radius and transmission error excitation on the nonlinear dynamic characteristics of face gear transmission system are analyzed. First, the accurate time-varying mesh stiffness is calculated using finite element method, and the nonlinear motion equation of the system under static transmission error excitation is proposed. The frequency response curve, time history curve, dynamic mesh force curve and dynamic factor curve are given, and the phenomena of jump, multiple solutions and tooth impact are observed. The numerical results show that the effect of amplitude variation of directional rotation radius on the dynamic characteristics of face gear pair is less conspicuous than that of transmission error but actually existing. The amplitude of the dynamic response of face gear pair reduces to some extent with the uniform distribution of the loading area through enlarging the amplitude variation of directional rotation radius. The static transmission error excitation should be reduced to perfect the transmission property. The system is in periodic motion most of the time, and tooth impact occurs only near ω=1. Since its dynamic property at low velocity and high velocity is good, the system should get through the resonant area quickly in work. [ABSTRACT FROM AUTHOR]