THE EFFECT OF CONTACT GEARS ON TORSIONAL VIBRATION BRANCHED SYSTEMS

摘要

This study assumes an equivalent stiffness existed in the mating gears. Two models for gears and shafts with three contact types of mating gears are used in this analysis. The first model divides a gear and a shaft into three parts. The right and left parts have the one half of the original internal damping coefficient and twice the original stiffness and the middle part has the original polar moment of inertia and the external damping coefficient. The second model also divides a gear and a shaft into three parts. The right and left parts have one half of the original polar moment of inertia and one half of the original external damping coefficient and the middle part has the original internal damping coefficient and the original stiffness. In the first type of contact, the mating gears are divided into three parts, respectively. The right and left parts have the one half of the original inertia, internal damping coefficient, external damping coefficient and twice stiffness of the gear. The middle part that contacts the mating gear at one point the infinite stiffness and the zero inertia. It is assumed that all the transmitted power, angular displacement and torque occur at the center of the middle part. In the second type of contact, the mating gears are also divided into three parts, respectively. The right and left parts have the one half of the original inertia, original external damping coefficient, infinite stiffness and zero internal damping coefficient. The middle part contacts the mating gear at two points and each point has twice the original stiffness and one half of the original internal damping coefficient of the gear. In the third type of contact, one element that is used for each gear has the original inertia, stiffness, internal damping coefficient and external damping coefficient of gear with two contact points at its edge. The results of eigenvectors and the relative viibratory angular displacements of the torsional branched system are obtained and studied.