Abstract
A 2K-H type planetary gear reducer with involute spur gear is adopted as the research object. Considering the time-varying meshing stiffness, the time-varying backlash of the gear meshing and the time varying pressure angle and other nonlinear factors, the lateral-torsional-swing coupled nonlinear dynamic model of the planetary gear transmission system is established. According to the equations of Lagrange, the dynamic differential equations are derived. By introducing the state variable, the second-order differential equation of the coupled system is reduced to the first-order differential equation. The fifth-order step-varying adaptive Runge-Kutta numerical integration method is used to solve the dynamic equation. Compared with the previous dynamic models, this nonlinear dynamic model for the planetary gear transmission system is more closely to the practical operating conditions of the transmission system, which has laid a foundation for further evaluating the dynamic characteristics of the planetary gear transmission system in the future
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