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TECHNICAL BRIEFS

Minimizing the Truncation Error in Assumed Modes Models of Structures

[+] Author and Article Information
S. O. Reza Moheimani

Department of Electrical and Computer Engineering, University of Newcastle, NSW 2308, Australia

Robert L. Clark

Department of Mechanical Engineering and Materials Science, Duke University, Durham, NC 27708-0300

J. Vib. Acoust 122(3), 332-335 (Mar 01, 2000) (4 pages) doi:10.1115/1.1303846 History: Received March 01, 1999; Revised March 01, 2000
Copyright © 2000 by ASME
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References

Meirovitch, L., 1986, Elements of Vibration Analysis, 2nd edition, McGraw-Hill, Sydney.
Fraser, A. R., and Daniel R. W., 1991, Perturbation Techniques for flexible Manipulators, Kluwer Academic, Massachusetts.
Alberts,  T. E., and Colvin,  J. A., 1991, “Observations on the nature of transfer functions for control of piezoelectric laminates,” J. Intell. Mater. Syst. Struct., 8, No. 5, pp. 605–611.
Hong,  J., Akers,  J. C., Venugopal,  R., Lee,  M., Sparks,  A. G., Washabaugh,  P. D., and Bernstein,  D., 1996, “Modeling, identification, and feedback control of noise in an acoustic duct,” IEEE Trans. Control Syst. Technol.,4, No. 3, pp. 283–291.
Clark,  R. L., 1997, “Accounting for out-of-bandwidth modes in the assumed modes approach: Implications on colocated output feedback control,” ASME J. Dyn. Syst., Meas., Control, 119, pp. 390–395.
Moheimani, S. O. R., 2000, “Minimizing the effect of out of bandwidth modes in truncated structure models,” to appear in ASME J. Dyn. Syst., Meas., Control.
Lewis, F. L., 1992, Applied Optimal Control and Estimation, Prentice Hall, New York.
Moheimani, S. O. R., 1999, “Minimizing the effect of out of bandwidth modes in the truncated assumed modes models of structures,” in Proc. American Control Conference, pp. 2718–2722, San Diego, CA.

Figures

Grahic Jump Location
Comparison of the frequency responses of the thirty mode model of the beam with its two mode model and the corrected model with an out-of-bandwidth mode
Grahic Jump Location
Comparison of the in-bandwidth error of the truncated model with three other corrected models

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