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TECHNICAL PAPERS

Using the Modal and Trigonometric Collocation Methods in Rotor Dynamic Systems

[+] Author and Article Information
Eduard Malenovský

Brno University of Technology, Faculty of Mechanical Engineering, Technická 2, 61669 Brno, Czech Republice-mail: malenovsky@umt.fme.vutbr.cz

J. Vib. Acoust 126(2), 229-234 (May 04, 2004) (6 pages) doi:10.1115/1.1687396 History: Received April 01, 2002; Revised August 01, 2003; Online May 04, 2004
Copyright © 2004 by ASME
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References

Kamenický,  J., Malenovský,  E., and Zapoměl,  J., 2000, “Numerical Analysis of Dynamic Properties of Nonlinear Rotor Systems of Aircraft Jet Engines,” Int. J. Rotating Mach., 6(5), pp. 333–343.
El-Shafei,  A., 1995, “Modeling Fluid Inertia Forces of Short Journal Bearings for Rotodynamics Applications,” ASME J. Vibr. Acoust., 117, pp. 462–469.
Malenovský,  E., and Pochylý,  F., 2001, “Some Results of Computational Modeling of Dynamic Behaviors of Journal Bearings by the Bézier Body Application,” J. Mech. Eng., 52(4), pp. 235–258.
Nelson, H. D., and McVaugh, J. M., 1976, “The Dynamics of Rotor-Bearing Systems Using Finite Elements,” ASME J. Eng. Ind., pp. 593–600.
Zorzi, E. S., and Nelson, H. D., 1997, “Finite Element Simulation of Rotor-Bearing System with Internal damping,” ASME J. Eng. Power, pp. 71–76.
Krämer, E., 1993, Dynamics of Rotors and Foundations, Springer Verlag, Berlin.
Ehrich, F., 1999, Handbook of Rotordynamics, Krieger Publishing Company, Inc. Malabar, FL.
Zeman, V., 2002, “Optimization of Large Dynamic Mechanical Systems,” Proceedings of Colloquium Dynamics of Machines 2002, Academy of Sciences of the Czech Republic, Prague, Czech Republic, pp. 205–212.
Dupal, J., 1998, “Stability of Non-symmetrical Rotating 1D Continuum With Non-Isotropic Supports,” Proceedings of Scientific Reports of West, Bohemian University of Plzeň, Plzeň, Czech Republic, pp. 39–48.
Nelson,  H. D., Meacham,  W. L., Fleming,  D. P., and Kascak,  A. F., 1983, “Nonlinear Analysis of Rotor-Bearing System Using Component Mode Synthesis,” ASME J. Eng. Power, 105, pp. 606–614.
Nataraj,  C., and Nelson,  H. D., 1989, “Periodic Solutions in Rotor Dynamic Systems with Nonlinear Supports: A General Approach,” ASME J. Vib., Acoust., Stress. Reliab. Des., 111, pp. 187–193.
Jean,  A. N., and Nelson,  H. D., 1990, “Periodic Response Investigation of Large Order Non-Linear Rotordynamic Systems Using Collocation,” J. Sound Vib., 143(3), pp. 473–489.
Gasch, R., and Pfützner, H., 1980, Rotordynamics, SNTL Prague, Czech Republic.
Malenovský,  E., 1999, “Computational Modeling of Dynamic Behavior of Nonlinear Rotor Dynamic Systems,” Engineering Mechanics, 6(6), pp. 411–426, Czech Republic (In Czech).
Yang,  B., 1996, “Closed-Form Transient Response of Distributed Damped Systems, Part I: Modal Analysis and Green’s Function Formula,” ASME J. Appl. Mech., 63, December, pp. 997–1003.

Figures

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Schematic diagram of rotor system
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Schematic diagram of example system
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Computational simulation of response passing through the resonance
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Amplitude spectrum of response in direction y
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Amplitude spectrum of response in direction z
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Global orbit for node 3
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Detail of orbit for node 3

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