hybrid modelling and simulation of the torsional vibration of vehicle driveline systems

Abstract

Vehicle drivelines are lightly damped non-linear systems possessing many degrees of freedom<br><br>with dynamic interactions between the various subsystems. There are many sources of excitation<br><br>such as torsional impact caused by the take-up of backlash in the power train system. Such sources<br><br>of excitation exist in transmission backlash, in driveline splines and in pinion to ring gear contact in<br><br>the diVerential. Abrupt application or release of the throttle in slowly moving traYc or rapid engagement<br><br>of the clutch can be followed by noise and vibration responses referred to in the industry as<br><br>‘clonk’. This paper presents a method of modelling a vehicle driveline which can identify the phenomena<br><br>known as ‘clonk’ and ‘shuZe’. This model is based on the assumption that vehicle drivelines<br><br>can be considered as partially lumped and partially distributed, which for systems of this type is<br><br>wholly appropriate. In doing this it is possible to derive an analytical solution to the governing<br><br>equations, which has not been considered previously. The results from this model are compared with<br><br>a totally lumped model of the vehicle driveline for comparison.