Response sensitivity of nonlinear translation-torsional vibration coupled model of a vehicle transmission system

With increase in requirements of dynamic quality of a transmission system, only the eigensensitivities analysis can not meet the requirements of dynamic characteristics of a vehicle transmission system. It's needed to do response sensitivity study to find a guideline to reduce vibration of a vehicle transmission system in designing stage. Here, the sensitivities of dynamic response with respect to design parameters such as, shaft torsional stiffness, moment of inertia, and transmission errors of gear pairs, et al. were investigated. The translation-torsional coupled dynamic model of a vehicle transmission system taking engine excitation as an input source was built up with the lumped parameter method. The sensitivity equations were derived from dynamic equations containing nonlinear terms, such as, time-varying mesh stiffness, backlash of gear pairs, mass eccentricity, transmission error et al. The relative sensitivities of dynamic response with respect to design parameters then turned into relative sensitivities of force/torque with respect to design parameters were acquired with the numerical simulation method. The results of the relative response sensitivities provided a theoretical basis for parameter modification, model updating and parameter optimization of vehicle transmission systems based on their dynamic responses.