A nonlinear torsional vibration model of a propeller shaft with a crack-induced parametric excitation and a hookes joint type of kinematic constraint

In this paper, a model for analyzing torsional vibration of a ground vehicle propeller shaft system has been proposed. The model takes into account dynamics of a Hooke´s joint and a crack-induced parametric excitation. By considering torsional vibration and Energy of the propeller, a Lagrangian approach has been used to derive the equation of motion yielding a highly nonlinear 3-DOF system with four coupled inertias. Subsequently, nonstationary response of the system has been characterized by a wavelet technique. The system vibration response in various scenarios has been evaluated and reported. Obtained results concur with existing literature. By analysis it is demonstrated that, the model is good for investigating nonlinear vibration of a typical propeller shaft system used in light ground vehicles.