Research On Nonlinear Vibration Characteristics Of 2K-V Planetary Drive System Under Dynamic Excitation

Gear transmission is widely applied in the field of engineering mechanical equipment, which the dynamic characteristic has significant influence on gear device and the entire mechanical system. Gear equipment is developing toward the direction of high elaboration, systematization, high efficient and high steady, Noise and vibration reduction of the high-speed gear system has been paid full attention.In this paper, 2K-V planetary drive system is taken as the research mechanism. Principles of gear transmission, nonlinear dynamics theory and numerical analysis method are utilized to carry out the movement performance and vibration characteristics of 2K-V planetary drive system under these various dynamic excitation factors. The study has the profound theoretical significance and guiding function for improving the overall level of mechanical transmission. The main research contents in this paper can be summarized as follows:Firstly, the working principle of 2K-V planetary drive mechanism is made a brief introduction. The planetary gear systems of 2K-H, K-H-V and 2K-V have been calculated gear ratio and analyzed transmission efficiency. However, sun gear, planets gear, cycloid gear and planet carrier of 2K-V planetary drive system have been taken into force analysis of structure.And then, 2K-V planetary drive system is taken as the research object and the nonlinear vibration coupling system dynamics model is established through lumped-mass method. Base on the physical model of the structure, the nonlinear vibration differential equation of system is established by using Lagrange principle and generalized coordinate principles. On this basis, taking time-varying mesh stiffness, mesh damping, backlash, tooth composite error and tooth surface friction into consideration, the nonlinear coupling dynamics model of system under Dynamic Excitation is established. The dimensionless dynamic differential equations of 2K-V planetary drive system is obtained by using the no-dimension analysis.In addition, the coupling dynamics simulation model of 2K-V planetary drive system would be established based on the physical objects by using SimulationX. Research on different states of time-varying mesh stiffness, mesh damping and tooth composite error that cause movement characteristics change of gear drive system. And then, the movement characteristics of 2K-V planetary drive system will be analyzed in difference parameters.Finally, numerical analysis method of the Runge-Kutta is applied to solve the nonlinear dynamic differential equations of 2K-V planetary drive system. Then the time history curves, velocity responses, phase traces and Poincare are analyzed section curve to study the vibration respond characteristics of 2K-V planetary drive system in different conditions. On this basis, the influences of some dynamic excitation, which are change, time-varying stiffness, time-varying damping, backlash and tooth frequency surface friction, on the response characteristicsof are vibration the whole system in-depth analysis.