Nonlinear dynamical characteristics of face gear transmission system

Based on the theory of the concentrated parameter,considering the elastic deformation of the bearings,the time-varying meshing stiffness and error,a three-dimensional dynamic model with multiple degrees of freedom for the face-gear transmission system was developed,including the flexional,torsional and axial motions.The mesh stiffness of face gear transmission system was calculated by FEM.By introduction dynamic relative transmission error,the nonlinear equations were simplified with 5 degrees of freedom.Using the Runge-Kutta numerical integral method of self-adaptive varied steps,the dynamic responses of the face gear transmission system was obtained.Moreover,the influence of clearance on dynamic load coefficient was analyzed.The results show that the single-period syntonic,double-period subharmonic,quasi-period and chaos response increase in the system when the excitation frequency changes.The clearance affects the dynamic load coefficient greatly but has no influence on the impact state of gear pair,that is to say,the single sided impact of gear pair is obtained by modification the stiffness of bearing and so on.