Dynamics of Planetary Reductor with Turbulent Damping

Abstract

In this paper, the nonlinear dynamic system of a planetary reductor with turbulent damping is studied. A simplified nonlinear dynamic model is presented, and the turbulent damping is assumed to be proportional to the square of angular velocity of rotation cog-wheel. A numerical experiment for real planetary reductor parameters is given, and the analysis of the type of cutting phase trajectories and curves of constant energy has been given. The type of integral curves and characteristic of singular points under the influence of turbulent damping on the dynamics of the system are studied.