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Keywords: engine, gengrator, non-linear, torsional vibration, mathematical model IntroductionThe engine and the generator connected directly in motorized wheel vehicle power transmission system,which instead of the original drive shaft, transmission, differential, reducer, etc. There is a great different between this transmission system and the traditional mechanical transmission . The new characteristics of vehicle vibration are shown at present. Torsional vibration of the vibration system was a multi-complex vibration type. The engine and generator system was the local oscillator of vehicle vibration and noise [1]. The whole system was affected not only by the mechanical aspects, also by electromagnetic aspects, so torsional vibration excitation force type was changed significantly in engine and generator shafting system. In motorized wheel vehicle, the generator speed changed in high frequency, and the magnetic field varied significantly, so non-linear characteristics of torsional vibration performance were more evident, leading to more difficult in vibration and noise reduction [2]. Shafting torsional vibration control to ensure powertrain reliability and reduce vibration and noise have significant effect. so, research on the non-linear torsional vibration in motorized wheel vehicle has important significance.The engine and generator shafting torsional vibration system of motorized wheel vehicle was a complex electromechanical coupling vibration problem . In order to solve such problem, in the first place was to establish the correct electromechanical coupling torsional vibration system mathematical model. Then, was to qualitative and quantitative solve the nonlinear torsional vibration mathematical model. At present, in view of the engine and generator shafting torsional vibration analysis is more like the following: Reference [3] analysis for steadystate response of nonlinear torsional vibration of diesel shafting by incremental harmonic balance method, and verified the reliability of the method by engine testing. Reference [4] established a nonlinear dynamics model of the generator torsional vibration by using lumped parameter method, which pointed out that the main reason for the nonlinear vibration was the change of Air-gap magnetic field, and obtained the solution of nonlinear equations using the state variable method, then verified the effectiveness of the model by torsional vibration experiments. Reference[5] take research on the influence of shafting torsional vibration for parameters change of engine and related accessories in traditional power transmission by using