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TECHNICAL PAPERS

Vibration Analysis of Rotors Utilizing Implicit Directional Information of Complex Variable Descriptions

[+] Author and Article Information
C. Kessler

United States Air Force Research Laboratory, AFRL/PRPG Bldg 18A Rm 231, 1950 Fifth Street, Wright-Patterson AFB, OH 45433-7251

J. Kim

Structural Dynamics Research Laboratory, Mechanical Engineering, University of Cincinnati, Cincinnati, OH 45221-0072

J. Vib. Acoust 124(3), 340-349 (Jun 12, 2002) (10 pages) doi:10.1115/1.1467649 History: Received May 01, 2001; Revised January 01, 2002; Online June 12, 2002
Copyright © 2002 by ASME
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References

Crandall, S. H., 1995, Nonlinear Dynamics and Stochastic Mechanics, W. Kielmann and N. S. Namachivaya, eds., CRC Press, Boca Raton, pp. 1–44.
Dimentberg, F. M., 1961, Flexural Vibrations of Rotating Shafts (English translation), Butterworths.
Krämer, E., 1993, Dynamics of Rotors and Foundations, Springer-Verlag.
Childs, D., 1993, Turbomachinery Rotordynamics: Phenomena, Modeling, and Analysis, Wiley and Sons, New York.
Ehrich, F., 1992, Handbook of Rotordynamics, Chapter Title: “Analytic Prediction of Rotordynamic Response,” by H. Nelson and S. Crandall, McGraw-Hill.
Laws, B., 1998, “Toolbox Tips: When You Use Spectrum, Don’t Use It Halfway,” Orbit Magazine, a Bently Nevada publication, June.
Muszynska, A., 1986, “Modal Testing of Rotor/Bearing Systems,” The International Journal of Analytical and Experimental Modal Analysis, pp. 15–34.
Kessler, C., and Kim, J., 1999, “Complex Modal Analysis and Modal Superposition for Rotating Machinery,” Proceedings of the 17th International Modal Analysis Conference, pp. 1930–1937.
Lee, C. W., 1993, Vibration Analysis of Rotors, Kluwer Academic Publishers.
Lee,  C. W., 1991, “A Complex Modal Testing Theory for Rotating Machinery,” Mech. Syst. Signal Process., 5(2), pp. 119–137.
Lee,  C. W., and Cho,  Y. D., 1993, “Theory of Excitation Methods and Estimation of Frequency Response Functions in Complex Modal Testing of Rotating Machinery,” Mech. Syst. Signal Process., 7(1), pp. 57–74.
Lee,  C. W., and Joh,  C. Y., 1994, “Development of the Use of Directional Frequency Response Functions for the Diagnosis of Anisotropy and Asymmetry in Rotating Machinery: Theory,” Mech. Syst. Signal Process., 8(6), pp. 665–678.
Joh,  Y. D., and Lee,  C. W., 1993, “Excitation Methods and Modal Parameter Identification in Complex Modal Testing for Rotating Machinery,” The International Journal of Analytical and Experimental Modal Analysis 8(3), pp. 179–203.
Lee, C. W., 1992, “Rotor Dynamics and Control in Complex Modal Space,” Keynote Speech of 1st International Conference on Motion and Vibration Control.
Lee,  C. W., and Kim,  J. S., 1992, “Modal Testing and Suboptimal Vibration Control of Flexible Rotor Bearing System by Using a Magnetic Bearing,” ASME J. Dyn. Syst., Meas., Control, 114, June, pp. 244–252.
Joh,  C. Y., and Lee,  C. W., 1996, “Use of dFRFs for Diagnosis of Asymmetric/Anisotropic Properties in Rotor-Bearing system,” ASME J. Vibr. Acoust., 118, January
Kessler, C., and Kim, J., 1999, “Application of Triaxial Force Sensor to Impact Testing of Spinning Rotor Systems,” Proceedings of the 17th International Modal Analysis Conference, pp. 1699–1705.

Figures

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Complex variable representation of planar motion
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Two degree of freedom spring-mass system
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Antisymmetric motion of geometrically symmetric rotor
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Natural modes of isotropic rigid rotor undergoing anti-symmetric motion (a) backward mode; (b) forward mode
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Natural frequencies of isotropic rotor neglecting directional information
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Natural frequencies of isotropic rotor considering directional information
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Natural frequencies of anisotropic rotor neglecting directional information
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Natural frequencies of anisotropic rotor considering directional information
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Directional frequency response functions (dFRFs) of isotropic rigid rotor
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Linear frequency response function (FRF) of isotropic rigid rotor
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Normal and cross dFRFs of anisotropic rigid rotor
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Measured normal dFRFs of isotropic rigid rotor

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