The Dynamics of Rotor-Bearing Systems Using Finite Elements

[+] Author and Article Information
H. D. Nelson

Arizona State University, Tempe, Ariz.

J. M. McVaugh

System Dynamics, Airesearch Manufacturing Company of Arizona, Phoenix, Ariz.

J. Eng. Ind 98(2), 593-600 (May 01, 1976) (8 pages) doi:10.1115/1.3438942 History: Received August 05, 1975; Online July 15, 2010


A procedure is presented for dynamic modeling of rotor-bearing systems which consist of rigid disks, distributed parameter finite rotor elements, and discrete bearings. The formulation is presented in both a fixed and rotating frame of reference. A finite element model including the effects of rotatory inertia, gyroscopic moments, and axial load is developed using the consistent matrix approach. A reduction of coordinates procedure is utilized to model elements with variable cross-section properties. The bearings may be nonlinear, however, only the linear stiffness and viscous damping case is considered. The natural whirl speeds and unbalance response of a typical overhung system is presented for two sets of bearing parameters: (i) undamped isotropic, (ii) undamped orthotropic. A comparison of results is made with an independent lumped mass analysis.

Copyright © 1976 by ASME
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