A dynamic analysis model was established for 2-stage star gear train

wherein the transmission error and the time-varying stiffness and backlash were considered.Using ODE45 integration method

the nonlinear differential equations with multiple backlashes were solved.The nonlinear dynamic behavior

which leads to chaos from harmonic vibration

non-harmonic vibration

period-doubling vibration and quasi-periodic vibration by changing frequency excitation of the system

was discussed thereof.