Dynamic transmission error of spiral bevel gear with real tooth surface

Spiral bevel gear is widely used in automobile transmission system. Its transmission error is an important basis to evaluate the vibration and noise of spiral bevel gear meshing. There are many factors that affect the dynamic mechanical performance of spiral bevel gear. In addition to the external dynamic load excitation factors, there are also nonlinear internal excitation factors from spiral bevel gear itself, such as time-varying tooth stiffness, actual tooth surface shape error, installation error, pitch error and dynamic transmission error. Even if the external excitation is zero (or constant), the spiral bevel gear system will vibrate due to the internal dynamic excitation. The transmission error curve of spiral bevel gear can reflect this vibration: when the fluctuation amplitude is greater, the spiral bevel gear vibration is more intense.

Tang Jinyuan and others studied the change of contact force of spiral bevel gear under light load and heavy load, the influence of inertia load on dynamic meshing performance of spiral bevel gear, and LTCA analysis of Spiral Bevel Gear Considering shaft deformation and error. Deng Xiaozhong et al. Put forward a new concept of controlling the meshing quality of spiral bevel gear based on transmission error design, and studied the influence of high coincidence on the transmission error curve and the influence of tooth pitch meshing deviation on the transmission error of hypoid gear. Vilmos et al. Studied the transmission error of spiral bevel gear by comprehensive analytical and numerical methods, and obtained the transmission error characteristics in the meshing process of spiral bevel gear. The above research does not comprehensively consider the factors such as tooth surface error, inertia, damping, load fluctuation, spiral bevel gear support system and speed, and fails to truly reflect the transmission error characteristics of spiral bevel gear.

Based on the dynamic characteristics of spiral bevel gear, the dynamic transmission error of spiral bevel gear when the large tooth surface is the real tooth surface is studied, and compared with the pure theoretical tooth surface meshing, the influence characteristics of tooth surface error on spiral bevel gear transmission error can be obtained, and the influence of speed on dynamic transmission error can be analyzed by changing the speed. Finally, the influence of elastic deformation and coupling vibration of spiral bevel gear elastic support system on spiral bevel gear dynamic transmission error is analyzed. The research on the dynamic transmission error of spiral bevel gear is of great significance to the causes of gear system noise, spiral bevel gear fault diagnosis and spiral bevel gear design.

(1) there are transmission errors in the meshing of real tooth surface and theoretical tooth surface of spiral bevel gear. Due to the tooth surface error of real tooth surface, the dynamic transmission error of spiral bevel gear will become larger.

(2) the speed of spiral bevel gear has a great influence on the initial meshing stage of gear. The higher the speed, the more intense the vibration of spiral bevel gear at the initial stage of meshing.

(3) the elastic deformation and coupling vibration of spiral bevel gear support system have a great impact on the dynamic transmission error. In the early stage of spiral bevel gear meshing, the vibration amplitude becomes larger and the vibration time becomes longer.

(4) the variation range of transmission error is closely related to the vibration and noise of spiral bevel gear device, which is very important to evaluate the characteristics of spiral bevel gear device. The dynamic transmission error curve of spiral bevel gear reflects the vibration and noise in the meshing process of spiral bevel gear to a certain extent, which can provide a certain reference for controlling vibration and noise.

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