With the increase of speed of gear transmission system, more and more attention has been paid to the research of tooth profile modification based on dynamic characteristics (dynamic transmission error and dynamic load).Gear meshing vibration and noise are generated in the dynamic state. It is difficult to get the optimal dynamic characteristics of the system by the corresponding modification parameters when the static characteristics are optimal. Only by combining the gear modification with the dynamic analysis of the gear drive, can the vibration reduction effect of the gear modification be judged more accurately and reliable basis be provided for the selection of the optimal modification parameters of the gear teeth.
Overseas, based on linear time-varying gear dynamics model considering periodic time-varying meshing stiffness, the influence of tooth profile modification on dynamic load of gear transmission system is studied for Low-overlap and high-overlap gears respectively.For two-stage gear drive and planetary gear system respectively, the influence of profile modification on dynamic characteristics is analyzed and compared with each other by using different dynamic models, and the stability of the system when profile modification is considered is also studied in depth.
Based on the nonlinear dynamic model considering periodic time-varying stiffness, clearance and other factors, the profile modification parameters corresponding to the smallest dynamic transfer error are studied by means of optimization design method.In addition to the above theoretical research, experimental research on tooth profile modification has been carried out abroad.The influence of linear modification on the dynamic transmission error of gear transmission system under different torques is analyzed by test.
The influence of tooth profile modification on the dynamic characteristics of the system under different torques is studied by using the time and frequency domain characteristics of the dynamic strain obtained from the test.The influence of profile modification on dynamic load and noise of gears is analyzed by means of experiment, and it is pointed out that profile modification can effectively reduce dynamic load and noise of gears.
The meshing stiffness is calculated based on finite element contact model, and the influence of tooth profile modification and tooth profile error on system dynamic characteristics is analyzed.The influence of tooth profile modification on the dynamic characteristics ofdrive system was studied from the angle of energy by using dynamic finite element method.
In China, Tang Zengbao and Zhu Chuanmin established a gear non-linear dynamic model considering errors and periodic time-varying stiffness, and studied the optimal profile modification parameters when the gear dynamic characteristics were optimized.Guo Jiashun and others established gear dynamic equation for herringbone gear drive considering periodic time-varying stiffness and clearance, and studied the influence of profile modification on dynamic transmission error of gear drive system.
Chen Siyu et al. used finite element method to obtain meshing rigidity and static transmission error of different modified gears. They introduced meshing rigidity and static transmission error into the dynamic analysis model to study the dynamic behavior of gears with different modification quantities and modification lengths, and put forward a method to measure the quality of gear modification by vibration amplitude and dynamic factor of gear pair.Ma Hui et al. also used finite element method to calculate the meshing stiffness of the modified gear based on the dynamic model of the rotor system and analyzed the influence of the top modification on the vibration response of the system.