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TECHNICAL PAPERS

Dynamic Absorption by Passive and Active Control

[+] Author and Article Information
Kumar Vikram Singh, Yitshak M. Ram

Department of Mechanical Engineering, Louisiana State University, Baton Rouge, LA 70803

J. Vib. Acoust 122(4), 429-433 (Jun 01, 2000) (5 pages) doi:10.1115/1.1311792 History: Received December 01, 1999; Revised June 01, 2000
Copyright © 2000 by ASME
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References

den Hartog, J. P., 1947, Mechanical Vibrations, McGraw-Hill, New York, 3rd Edition.
Inman, D. J., 1994, Engineering Vibration, Prentice Hall, New Jersey.
Ram,  Y. M., and Elhay,  S., 1996, “The theory of a multi degree of freedom dynamic absorber,” J. Sound Vib., 195, pp. 607–615.
Mottershead,  J. E., 1998, “On the zeros of structural frequency response functions and their sensitivities,” Mech. Syst. Signal Proc., 12, pp. 591–597.
Mottershead,  J. E., and Lallement,  G., 1999, “Vibration nodes, and the cancellations of poles and zeros by unit-rank modifications to structures,” J. Sound Vib., 222, pp. 833–851.
Ram,  Y. M., 1998, “Pole-zero assignment of vibratory system by state feedback control,” J. Vib. and Control, 4, pp. 145–165.
Datta, B. N., 1994, Numerical Linear Algebra and Applications, Brooks/Cole Publishing Company, New York.
Parlett, B. N., 1980, The Symmetric Eigenvalue Problem, Prentice-Hall, Englewood Cliffs, NJ.
Wonham,  W. M., 1967, “On pole assignment in multi-input controllable linear systems,” IEEE Transactions on Automatic Control, 12, pp. 660–665.

Figures

Grahic Jump Location
Three degree-of-freedom mass-spring system (a) original system (b) modified system
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Three degree-of-freedom mass-spring system (a) original system (b) modified system
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A graph of α versus ω2
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Three degree-of-freedom mass-spring-damper system (a) original system (b) controlled system
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Three degree-of-freedom mass-spring-damper system (a) passive system (b) left sub-system

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