Gear transmission is one of the most commonly used transmission in all kinds of machinery, which has the advantages of reliable operation, accurate transmission ratio and less power loss. However, due to the existence of manufacturing and installation errors, there will be various deviations of gears. The existence of the deviation will change the meshing position of the gear, so that the actual meshing position does not coincide with the theoretical meshing position, resulting in additional displacement excitation, which is an important reason for the vibration of the gear transmission device. Chang Lehao analyzed the influence of various tooth profile deviations on the vibration response of spur gear meshing pair by establishing gear dynamic model. Wang Qibin used the numerical simulation method to study the influence of pitch deviation on the tooth surface contact stress of circular arc gear with gradient structure. Xiao Pengcheng integrated numerical simulation and finite element simulation methods to study the influence of axis deviation on the wear of working tooth surface of helical gear.

As a kind of gear deviation, tooth thickness deviation has an important influence on the actual meshing state of gear. On the one hand, the tooth thickness deviation directly affects the meshing profile of the gear, which affects the time-varying meshing stiffness of the gear, and the time-varying meshing stiffness of the gear is one of the most important internal excitations of the gear transmission system; On the other hand, the backlash of gear pair is usually realized by controlling the tooth thickness deviation of the gear, so the variation of the tooth thickness deviation will inevitably affect the size of the backlash of the gear, and the size of the backlash directly determines whether the gear will produce inter tooth impact, thus aggravating the vibration and noise of the gear transmission system. Therefore, it is of great significance to study the influence of tooth thickness deviation on the vibration characteristics of gear pair for the design of vibration and noise reduction of gear transmission system. By summarizing the existing research work, it can be seen that there is little research work on the dynamic analysis of the gear only with tooth thickness deviation, while there is little research on the dynamic analysis of the cylindrical gear only with tooth thickness deviation.

Based on the gear design and analysis software kisssoft, the meshing stiffness and transmission error calculation model of cylindrical gear pair with different tooth thickness deviation is established, and the meshing stiffness and transmission error of cylindrical gear pair with tooth thickness deviation are calculated. The influence of tooth thickness deviation on the vibration characteristics of cylindrical gear pair is studied by combining with the finite element simulation method The vibration characteristics of cylindrical gear pair under different helix angle and different action torque lay a theoretical foundation for further proposing the principle of gear deviation control.