Lund’s Contribution to Rotor Stability: The Indispensable and Fundamental Basis of Modern Compressor Design

[+] Author and Article Information
Edgar J. Gunter

Department of Mechanical & Aerospace Engineering, University of Virginia, Charlottesville, VA 22903

J. Vib. Acoust 125(4), 462-470 (Oct 08, 2003) (9 pages) doi:10.1115/1.1605978 History: Received June 01, 2003; Online October 08, 2003
Copyright © 2003 by ASME
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Lund,  J. W., 1974, “Stability and Damped Critical Speeds of a Flexible Rotor in Fluid-Film Bearings,” ASME J. Ind., 96(2), May, pp. 509–517.
Lund, J. W., and Thompson, K. K., 1978, “A Calculation Method and Data for the Dynamic Coefficients of Oil-Lubricated Journal Bearings,” Topics in Fluid-Film Bearings and Rotor Bearing Systems Design and Optimization, ASME.
Reynolds,  O., 1886, “On the Theory of Lubrication and Its Application to Mr. Lowe’s Experiments,” Philos. Trans. R. Soc. London, 77, pp. 157–234.
Lund,  J. W., 1964, “Spring and Damping Coefficients for Tilting-Pad Journal Bearings,” ASLE Trans., 7(4), Oct., pp. 342–352.
Nicholas, J. C., Gunter, E. J., and Barrett, L. E., 1978, “The Influence of Tilting Pad Bearing Characteristics on the Stability of High Speed Rotor-Bearing Systems,” Topics in Fluid Film Bearings and Optimization, ASME, New York, N.Y., pp. 55–78.
Lund, J. W., 1965, “The Stability of An Elastic Rotor in Journal Bearings With Flexible, Damped Supports,” ASME J. Appl. Mech., Dec., pp. 911–920.
Gunter, E. J., 1965, “Dynamic Stability of Rotor-Bearing Systems,” NASA, SP-113, Washington, D.C.
Lund, J. W., 1967, “Oil Whip Whirl Orbits of a Rotor in Sleeve Bearings,” ASME J. Ind., Nov., pp. 813–823.
Prohl,  M. S., 1945, “A General Method for Calculating Critical Speeds of Flexible Rotors,” ASME J. Appl. Mech., 12, pp. A-147–A-148.
Myklestad, N. O., 1944, “A New Method for Calculating Natural Modes of Uncoupled Bending Vibrations of Airplane Wings and Other Types of Beams,” J. Aeronaut. Sci., April, pp. 153–162.
Pestel, E. C., and Leckie, F. A., 1963, Matrix Methods in Elasto Mechanics, McGraw-Hill Co., New York, N.Y.
Ruhl, R. L., 1970, “Dynamics of Distributed Parameter Rotor Systems: Transfer Matrix and Finite Element Techniques,” Ph.D. Thesis, Cornell University, Mechanical Engineering Dept., Ithaca, NY.
MSC/pal2 Reference Manual, The MacNeal-Schwendler Corp., August 1990, Los Angeles, CA.
Lund, J. W., 1965, “Rotor-Bearing Dynamics Design Technology, Part V,” Technical Report AFAPL-TR-65-45, Aero Propulsion Lab, Wright-Patterson Air Force Base, Dayton, OH, May.


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Single-degree-of-freedom system
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Extended Jeffcott rotor on flexible supports
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Lund 2-mass rotor on damped supports
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Critical rigid rotor mass for L/D=0.5 gas bearing vs. dim. speed
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Gas bearing rotor below and above the stability threshold
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Stability of cylindrical gas bearing vs. support damping for ε=0.3, L/D=0.5,Kp=0.10
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Normalized whirl orbits in a sleeve bearing at the onset of instability
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Schematic diagram of a typical turbo-rotor and lumped mass representation
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Shaft element divided into point and field elements showing the sign convention
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First two computed modes for 11-station beam using Lund transfer matrix method
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Uniform beam a 3-station model showing Lund method of mass lumping
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Damped natural frequencies of a uniform beam with Kb=20,000 lb/in



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