The behavior of linear rotor-bearing systems is investigated by using the exact approach of the dynamic stiffness method, which entails the use of continuous rather than lumped models. In particular, the theoretical formulation for rotor systems with anisotropic bearings is developed by utilizing the complex representation of all the involved variables. The proposed formulation eventually leads to the 8 × 8 complex dynamic stiffness matrix of the rotating Timoshenko beam; this matrix proves to be related, by a simple rule, to the 4 × 4 dynamic stiffness matrix, which describes rotor systems with isotropic bearings. The method is first applied to the critical speeds evaluation of a simple rotor system with rigid supports; for this case, the exact results of the dynamic stiffness approach are compared to the usual convergence procedure of the finite element method. Successively, the steady-state unbalance response of two rotor systems with anisotropic supports is analyzed; for these examples, the dynamic stiffness results compare favorably with the results of the finite element and the transfer matrix analysis performed by other authors.
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July 1996
Research Papers
The Dynamic Stiffness Method for Linear Rotor-Bearing Systems
F. A. Raffa,
F. A. Raffa
Dipartimento di Meccanica, Politecnico di Torino, Corso Duca degli Abruzzi, 24, 10129 Torino, Italy
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F. Vatta
F. Vatta
Dipartimento di Meccanica, Politecnico di Torino, Corso Duca degli Abruzzi, 24, 10129 Torino, Italy
Search for other works by this author on:
F. A. Raffa
Dipartimento di Meccanica, Politecnico di Torino, Corso Duca degli Abruzzi, 24, 10129 Torino, Italy
F. Vatta
Dipartimento di Meccanica, Politecnico di Torino, Corso Duca degli Abruzzi, 24, 10129 Torino, Italy
J. Vib. Acoust. Jul 1996, 118(3): 332-339 (8 pages)
Published Online: July 1, 1996
Article history
Received:
January 1, 1994
Online:
February 26, 2008
Citation
Raffa, F. A., and Vatta, F. (July 1, 1996). "The Dynamic Stiffness Method for Linear Rotor-Bearing Systems." ASME. J. Vib. Acoust. July 1996; 118(3): 332–339. https://doi.org/10.1115/1.2888186
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