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TECHNICAL PAPERS

Sensitivity Analysis and Optimization of Undamped Rotor Critical Speeds to Supports Stiffness

[+] Author and Article Information
Shyh-Chin Huang, Chin-Ann Lin

Department of Mechanical Engineering, National Taiwan University of Science and Technology, 43 Keelung Road, Sec. 4, Taipei, Taiwan 106e-mail: schuang@mail.ntust.edu.tw

J. Vib. Acoust 124(2), 296-301 (Mar 26, 2002) (6 pages) doi:10.1115/1.1456083 History: Received January 01, 2000; Revised December 01, 2001; Online March 26, 2002
Copyright © 2002 by ASME
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References

Eshleman,  R. L., and Eubanks,  R. A., 1967, “On the Critical Speeds of a Continuous Shaft-disk System,” ASME J. Eng. Ind., 89, pp. 645–652.
Chives,  D. R., and Nelson,  H. D., 1975, “The Natural Frequencies and Critical Speeds of a Rotating, Flexible Shaft-disk System,” ASME J. Eng. Ind., 97, pp. 881–886.
Ozguven,  H. N., 1984, “On the Critical Speed of Continuous Shaft-disk Systems,” ASME J. Vibr. Acoust., 106, pp. 59–61.
Ruhl,  R. L., and Booker,  J. F., 1972, “A Finite Element Model for Distributed Parameter Turborotor Systems,” ASME J. Eng. Ind., 94, pp. 126–132.
Nelson,  N. D., and McVaugh,  J. M., 1976, “The Dynamics of Rotor-bearing Systems Using Finite Elements,” ASME J. Eng. Ind., 98, pp. 593–600.
Childs,  D. W., and Graviss,  K., 1982, “A Note on Critical-speed Solutions for Finite-Element-based Rotor Models,” J. Mech. Des., 104, pp. 412–416.
Lund,  J. W., and Orcutt,  F. K., 1967, “Calculations and Experiments on the Unbalance Response of a Flexible Rotor,” ASME J. Eng. Ind., 89(4), pp. 785–796.
Lund,  J. W., 1974, “Stability and Damped Critical Speeds of a Flexible Rotor in Fluid-Film Bearings,” ASME J. Eng. Ind., 96, pp. 509–517.
Chiau, S. W., and Huang, S. C., 1989, “On the Flexural Vibrations of Rotor Systems Using a Modified Transfer Matrix Method,” in Chinese, Proceedings of the 6th Chinese Society of Mechanical Engineers, pp. 1607–1618.
Huang,  S. C., Chang,  C. I., and Su,  C. K., 1994, “New Approach to Vibration Analysis of Undamped Rotor-bearing Systems,” Transactions of CSME, 15(5), pp. 465–478.
Lund,  J. W., 1987, “Review of the Concept of Dynamic Coefficients for Fluid Film Journal Bearings,” ASME J. Tribol., 109, pp. 37–41.
Gasch,  R., 1976, “Vibration of Large Turbo-rotors in Fluid-film Bearings on an Elastic Foundation,” J. Sound Vib., 47(1), pp. 53–73.
Wu,  M. C., and Huang,  S. C., 1998, “Vibration and Crack Detection of a Rotor with Speed-Dependent Bearing,” Int. J. Mech. Sci., 40, pp. 545–555.
Bishop, R. E. D., and Johnson, D. C., 1960, The Mechanics of Vibration, Cambridge, University Press.
Huang,  S. C., and Hsu,  B. S., 1992, “Vibration of Spinning Ring-stiffened Cylindrical Shells,” AIAA J., 30(9), pp. 2291–2298.
Huang,  S. C., and Hsu,  B. S., 1992, “Receptance Theory Applied to Modal Analysis of a Spinning Disk with Interior Multi-point Supports,” ASME J. Vibr. Acoust., 114, pp. 468–476.
Huang,  S. C., and Hsu,  B. S., 1993, “Modal Analysis of a Spinning Cylindrical Shell with Interior Point or Circular Line Supports,” ASME J. Vibr. Acoust., 115(4), pp. 535–543.
Su,  C. K., and Huang,  S. C., 1996, “Receptance Method to the Sensitivity Analysis of Critical Speeds to Rotor Supports Stiffness,” ASME J. Eng. Gas Turbines Power, 119(3), pp. 736–739.
Horst, R., and Tuy, H., 1992, Global Optimization: Deterministic Approach, Berlin, Springer Verlag.
Torn,  A., and Viitanen,  S., 1994, “Topographical Global Optimization Using Presampled Points,” J. Global Optim., 5, pp. 267–276.
Vanderplaats, G. N., Numerical Optimization Techniques for Engineering Design with Applications, McGraw-Hill, New-York.
Rajan,  M., Rajan,  S. D., Nelson,  H. D., and Chen,  W. J., 1987, “Optimal Placement of Critical Speeds in Rotor-Bearing Systems,” ASME J. Vibr. Acoust., 109, pp. 152–157.

Figures

Grahic Jump Location
A schematic diagram of the free rotor and the supports
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A schematic diagram of the illustrated examples
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Variation of objective function through iterations
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Effect of weights to error
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Effect of cost weights to first critical speed error
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Effect of cost weights to second critical speed error
Grahic Jump Location
Effect of cost weights to third critical speed error

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