Although the exact dynamic elements have been suggested by the authors [1] and proved to be useful for the dynamic analysis of distributed-parameter rotor-bearing systems, difficulty remains in computation because of the presence of transcendental functions in the matrix. This paper proposes a complete analysis scheme for the exact dynamic elements, a generalized modal analysis method, to obtain exact and closed form solutions of time and frequency domain responses for multi-stepped distributed-parameter rotor-bearing systems. A numerical example is provided for validating the proposed method.
Issue Section:
Technical Briefs
1.
Hong
, S. W.
, and Park
, J. H.
, 1999
, “Dynamic Analysis of Multi-Stepped Distributed-Parameter Rotor-Bearing Systems
,” J. Sound Vib.
, 227
, No. 4
, pp. 769
–785
.2.
Dimentberg, F. M., 1961, Flexural Vibrations of Rotating Shafts, London, Butterworths.
3.
Lee, C. W., 1993, Vibrations of Rotors, Kluwers Academic Publishers.
4.
Lee
, C. W.
, and Jei
, Y. G.
, 1988
, “Modal Analysis of Continuous Rotor Bearing Systems
,” J. Sound Vib.
, 126
, No. 2
, pp. 345
–361
.5.
Tondl, A., 1965, Some Problems of Rotor Dynamics, Chapman & Hall, London.
6.
Fang
, H.
, and Yang
, B.
, 1998
, “Modeling, Synthesis and Dynamic Analysis of Complex Flexible Rotor Systems
,” J. Sound Vib.
, 211
, No. 4
, pp. 571
–592
.7.
Hong
, S. W.
, and Kim
, J. W.
, 1999
, “Modal Analysis of Multi-Span Timoshenko Beams Connected or Supported by Resilient Joints with Damping
,” J. Sound Vib.
, 227
, No. 4
, pp. 787
–806
.Copyright © 2001
by ASME
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