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TECHNICAL PAPERS

The Analytical Imbalance Response of Jeffcott Rotor During Acceleration

[+] Author and Article Information
Shiyu Zhou

Department of Mechanical Engineering, The University of Michigan, Ann Arbor, MI 48109

Jianjun Shi

Department of Industrial and Operations Engineering, The University of Michigan, Ann Arbor, MI 48109e-mail: shihang@umich.edu

J. Manuf. Sci. Eng 123(2), 299-302 (Feb 01, 2000) (4 pages) doi:10.1115/1.1352021 History: Received April 01, 1999; Revised February 01, 2000
Copyright © 2001 by ASME
Topics: Rotors , Vibration
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References

Dyer, S. W., 1999, “Adaptive Optimal Control of Active Balancing Systems for High-speed Rotating Machinery,” Ph.D. Dissertation, University of Michigan.
Shen, F. A., 1972, “Transient Flexible-Rotor Dynamics Analysis, Part 1-Theory,” ASME J. Eng. Ind., May, pp. 531–538.
Childs, D., 1969, “Simulation Models for Flexible Spinning Bodies,” Simulation, June, pp. 291–296.
Childs, D., 1972, “A Simulation Model for Flexible Rotating Equipment,” ASME J. Eng. Ind., Feb., pp. 201–209.
Childs, D., 1976, “A Modal Transient Simulation Model for Flexible Asymmetric Rotors,” ASME J. Eng. Ind., Feb., pp. 312–318.
Subbiah,  R., and Rieger,  N. F., 1988, “On the Transient Analysis of Rotor-Bearing Systems,” ASME J. Vibr. Acoust., 110, Oct. pp. 515–520.
Subbiah,  R., Kumar,  A. S., and Sankar,  T. S., 1988, “Transient Dynamic Analysis of Rotors Using the Combined Methodologies of Finite Elements and Transfer Matrix,” ASME J. Appl. Mech., 55, June, pp. 448–452.
Lee,  A. C., Kang,  Y., Tsai,  K. L., and Hsiao,  K. M., 1992, “Transient Analysis of an Asymmetric Rotor-Bearing System During Acceleration,” ASME J. Eng. Ind., 114, Nov., pp. 465–475.
Lewis, F. M., 1932, “Vibration During Acceleration Through a Critical Speed,” ASME J. Appl. Mech., APM-54-24, pp. 253–261.
Dimentberg, F. M., 1961, Flexural Vibrations Of Rotating Shafts, Butterworth, London.
Genta, G., 1993, Vibration of Structures and Machines: Practical Aspects, Springer-Verlag, New York.
Newland, D. E., 1989, Mechanical Vibration Analysis and Computation, Longman Scientific & Technical, Burnt Mill.
Macrobert, T. M., 1954, Functions of a Complex Variable, Macmillan, London.

Figures

Grahic Jump Location
The geometric setup of a planar rotor
Grahic Jump Location
The trajectories of z1 and z2
Grahic Jump Location
Transient imbalance response calculated by the analytical solution
Grahic Jump Location
The magnitudes and phases of xs and xn

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