Effect of the electromagnetic force on the power-train vibration of the in-wheel motor driving system with rubber bushings

Abstract

For an in-wheel motor driving system with rubber bushings, the driving motor is integrated into the wheel. A magnet gap deformation of the motor will be inevitably caused by the road excitation, which will produce an unbalanced electromagnetic force and influence the power-train vibration. Furthermore, the rim is flexibly connected to the motor rotor by rubber bushings, and a strong coupling and nonlinear vibration of the power-train in all directions can be demonstrated under the electromagnetic excitations. Thus, a 14-degree-of-freedom coupling vibration model of the power-train is first developed for the in-wheel motor driving system with rubber bushings, including the bushing and bearing models. Then, the mathematical model is deduced using a Lagrangian approach. Finally, based on the model, a coupling vibration analysis is conducted under different electromagnetic force excitations. The results indicate that there are coupling vibration components in the torsional direction, except the one-time rotating frequency; however, in the bending direction, the vibration response includes a one-time rotating frequency component and an excitation frequency component of the electromagnetic force. Furthermore, the results indicate that the bushing plays an important role in reducing the power-train vibration, which has a positive effect on the improving vehicle dynamics.