Sensitivity analysis of forced torsional vibration on vehicle powertrain

Based on the lumped parameter model of forced torsional vibration of powertrain, the sensitivity formulations of the torsional vibration angualr displacement of lumped masses and additional torsional vibration stress of shafts to stiffness were derived by the direct differentiation method. The sensitivity analysis of forced torsional vibration response was extended. With the powertrain of a heavy vehicle as a real example, the characteristics of sensitivities of vibration response on powertrain were calculated and analyzed. The feasibility of this method was validated. It provides the theoretical foundation for dynamic modification and optimization design of powertrain.