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.
The Dynamics of Rotor-Bearing Systems Using Finite Elements
H. D. Nelson,
H. D. Nelson
Arizona State University, Tempe, Ariz.
J. M. McVaugh
System Dynamics, Airesearch Manufacturing Company of Arizona, Phoenix, Ariz.
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Nelson, H. D., and McVaugh, J. M. (May 1, 1976). "The Dynamics of Rotor-Bearing Systems Using Finite Elements." ASME. J. Eng. Ind. May 1976; 98(2): 593–600. doi: https://doi.org/10.1115/1.3438942
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