Gear is the core and basic component of mechanical transmission equipment. Under the dynamic excitation, it will produce dynamic response and directly affect the system life. Relevant literature shows that there are many factors that affect the dynamic characteristics of gears. In addition to the external dynamic load excitation factors, there are also non-linear internal excitation factors from the gears themselves, such as the time-varying meshing stiffness, tooth surface shape error, pitch error, installation error and transmission error of gears. Even when the external excitation is 0, the gear transmission system will be generated due to the internal excitation Vibration, noise, etc. Relevant research shows that the transmission error of gear system is the main factor affecting the dynamic meshing performance, vibration and noise of gear system, which directly reflects the vibration of the system. Generally, the larger the amplitude of transmission error, the more obvious the noise and vibration of gear system, that is, the more severe the vibration of gear system. Therefore, it is of great significance to study the transmission error of gear transmission system for noise reduction and lubrication, fault diagnosis, tooth geometry modification, etc.
Based on the above reasons, scholars at home and abroad have done a lot of research on the transmission error of gear system, and obtained rich research results. For example, Liu Xinrong et al  put forward the torsional vibration model of involute, studied the static and dynamic transmission errors of involute helical cylindrical gear, and analyzed the change rule of dynamic transmission error curve under different loads; Wang Zhonghou et al introduced inertia, material damping factor and gear support system on the basis of traditional transmission error analysis of , and put forward spiral In order to reduce the vibration and noise of spiral bevel gears with high coincidence degree, Mou Yanming et al. Put forward the design of high-order transmission error based on the curvature correction method of tooth surface; Vilmos et al. Studied the transmission error of gears by comprehensive analytical method and numerical method, and obtained the transmission error characteristics in the process of gear engagement; Li Wenliang et al. Calculated the transmission error along the by Monte Carlo method Considering the dynamic load, meshing error and friction of tooth surface, the dynamic calculation model of gear pair bending torsion shaft coupling is built to analyze the dynamic transmission error variation law in the process of gear transmission. Based on the contact finite element analysis principle, the finite element analysis software ABAQUS is applied to load contact analysis (LTCA) of gears The transmission error of linear displacement in the action direction of time-varying equivalent meshing force of hypoid gear is calculated. These research methods and results have high reliability and precision, which provide technical methods for the research of new transmission technology emerging in the field of mechanical transmission.
Circular arc tooth line cylindrical gear, the tooth direction line of the tooth is a section of circular arc curve, the tooth profile curve of each section can be divided into two kinds according to the different processing principles: one is the line contact circular arc tooth line cylindrical gear 1735-1740 processed by the parallel connecting rod mechanism, the tooth profile curve is involute; the other is the point contact circular arc tooth line cylindrical gear processed by the rotary milling of the large cutter head, the tooth profile curve is variable hyperbolic family 1 19-125。 Gear has the characteristics of large coincidence, high bearing capacity, high efficiency, long life, high stability, low noise, low installation accuracy requirements, no axial force, etc., which can make up for the shortcomings of, helical gear and herringbone gear transmission. However, since the arc tooth line cylindrical gear was put forward, the main research content has focused on the meshing principle, three-dimensional modeling, contact performance and processing method 1735-1740119-125, among which the contact performance is mostly concentrated on static analysis, while the dynamic characteristics are rare, only the following research content is mentioned: Chen Zhongmin and others established the arc based on the concentrated parameter theory through the bearing contact analysis of gear pair Based on UG nx8.0, Qingxin et al established a three-dimensional model of circular arc tooth line cylindrical gear, and used Adams to study the dynamic meshing characteristics of the gear. However, the geometrical shape of the gear tooth surface is complex, and the meshing process of the gear is an extremely complex dynamic problem, especially the meshing transmission error of the gear, which directly affects the vibration characteristics of the circular arc tooth line cylindrical gear transmission system. Therefore, it is necessary to study the meshing transmission error in order to provide technical support for reducing the vibration and noise in the gear transmission system.
Based on the above research background, this paper takes the circular arc tooth line cylindrical gear as the research object, puts forward the transmission error model of circular arc tooth line cylindrical gear, and analyzes the influence of tooth width, tooth line radius, load and rotation speed on the transmission error of circular arc tooth line cylindrical gear transmission system through ADAMS simulation software. The research results provide theoretical basis for the lubrication and noise reduction of circular arc tooth line cylindrical gear.