Dynamics Of Coupled Bevel-Geared Rotor System Supported On Ball Bearings

The dynamics of coupled bevel-geared rotor system supported on ball bearings wasanalyzed, in which the performance of the system about the critical speed and stability of thechanges was studied, as well as, the steady-state response of the system with the presence ofthe variety excitations was compared in different meshing and supporting roles.The structure and working principle of the main institutions of the bevel gear meshingrotor system has been analyzed: The stiffness of bevel gear meshing and rolling contactbearing on the motion characteristics of the system was considered; the coupledaxial-lateral-torsional vibrations model containing the gear meshing stiffness was established.After the equations of motion of the system has been derived from Lagrange equations, thethree directional coupler model of the system was analyzed based on dynamic theories whichdiscussing the critical speed and the modal of the system. Furthermore, focus on the bea ringdynamic characteristics of the rotor system with different excitations, especially thesteady-state response on a pair of bevel gears with different excitations and support ormeshing stiffness exists in each direction. The main conclusions are as follows:(1) gearmeshing stiffness is a major constraint relations between the bevel gear meshing rotor system,even cause the coupled axial-lateral-torsional vibrations movement, the mesh stiffness isintroduced to make the coupled axial-lateral-torsional vibrations model more accurate,and theanalysis about dynamics of bevel gear rotor system more simply;(2) The axial-lateral was themain couple, torsion took a small part, the coupled characteristics of rotor-bearing systemgeared by bevel gears cause a disturbance motion which has a significant impact on the otherdirection of the system, cannot be ignored. Effect of gear mesh stiffness and the rollingbearing stiffness in higher-order critical speed was significant;(3) The bending vibrationcoupling in steady-state response of bevel gear meshing rotor system was considerable, underthe coupled motion, any incentive could cause the system to produce the response in eachdirection. the effect in steady-state response with gear meshing stiffness and the rolling bearing stiffness would be material, the motion of the system can be optimized by changingthe supporting or meshing stiffness.