Dynamics of synchronization of rotational motion of contacting triple-body systems

Paper i proceeding, 2015

Dynamics of synchronization of rotational motion of contacting triple-body system is studied. It is assumed that all bodies of the system can rotate completely independently of one another and perform rotational motion about the same axis under the action of external and internal loads. The direct dynamics synchronization problem for the contacting triple-body system is stated and the algorithm of the solution of the problem is presented. To determine the synchronization time the transcendental equation is derived. The torques between contacting interfaces are determined by solving two integral equations. Finally, by knowing synchronization time and the torques between contacting interfaces, the rotational motion of the system during synchronization process is determined by integration of the governing equations with prescribed initial conditions. It was shown that the solution of the direct dynamics problem is not unique and the synchronizing torques can be subject to optimization. The obtained results are applied for a generic synchronizer mechanism of manual transmission systems. Assuming that the drag torque, the vehicle resistance torque, the control torque applied to the selector sleeve, and the synchronizing torques at the contacting interfaces are substantially constant during synchronization the solution of the direct dynamics synchronization problem for a generic synchronizer is obtained in analytical form. Sensitivity analysis of the synchronization time and the gear shifting comfort with respect to the control torque applied to the selector sleeve and the driveline vibration has presented.