Study on the Nonlinear Dynamic Behavior of Rattling Vibration in Gear Systems

To reveal the nonlinear dynamic behavior of gear rattling vibration caused by backlash, a 2-DOF oscillator model with spring and damping elements was established. Based on theory discontinuous dynamical systems, phase plane motion divided into three parts: domain tooth surface meshing motion, free back motion. Introducing global mapping local dynamics method, process teeth from impact to then accurately described. The influence different restitution coefficients impact-meshing studied numerical simulation. results showed that grazing bifurcation backlash will lead complex structures system even chaos. coefficient directly affects behavior. introduction stiffness can reasonably characterize elastic deformation energy loss during meshing, which provides theoretical for application systems more multi-degree freedom flexible contact transmission system.