Dynamic Modelling Considering Nonlinear Factors of Coupled Spur Gear System and Its Experimental Research

For the nonlinear vibration problem of spur gear transmission system caused by friction and gear backlash, the dynamic model of gearbox with 16-degree-of-freedom (16-DOF) considering time-varying meshing stiffness is established by Lagrange equation. The dynamic equations of the gear system are solved by the Newmark- $\beta $ method. The effects of friction coefficient, error fluctuation and meshing stiffness on the vibration response are investigated. In order to verify the validity of the model, a spur gear transmission rotor test bench was built by simulating the actual working conditions. The root mean square (RMS) is used to verify the accuracy of the model at multiple speeds, and makes up for the shortcomings of many researches without experimental argumentation. The experimental research can provide a reference for the research of gear transmission system.