Dynamics of High-Speed Turbomachines Using a Finite Element Procedure Based on a Rotor Supported by Fluid Film Bearings

摘要

Rotor-bearing systems encounter many applications in turbomachinery employed by the aerospace, aeronautical and automotive industries. This paper presents the development of a finite element procedure to analyze the unbalance response of flexible rotors running on fluid film bearings. The shaft finite element model is based on the Timoshenko beam theory, which includes the shear effects, the rotatory inertia and gyroscopic moments. A finite element procedure for solution of the classical Reynolds equation for incompressible fluid films is implemented. The finite element equations of motion for this system are integrated by using the Newmark method. Time-domain and frequency-domain unbalance response are obtained. Numerical results depict some curves of whirl amplitude versus frequency and some plots of the whirl orbit for flexible rotors supported by hydrodynamic journal bearings.