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TECHNICAL PAPERS

An Active-Passive Piezoelectric Absorber for Structural Vibration Control Under Harmonic Excitations With Time-Varying Frequency, Part 1: Algorithm Development and Analysis

[+] Author and Article Information
R. A. Morgan, K. W. Wang

Structural Dynamics and Controls Lab, Department of Mechanical and Nuclear Engineering, The Pennsylvania State University, University Park, PA 16802

J. Vib. Acoust 124(1), 77-83 (Jul 01, 2001) (7 pages) doi:10.1115/1.1419201 History: Received August 01, 2000; Revised July 01, 2001
Copyright © 2002 by ASME
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References

Hagood,  N. W., and von Flotow,  A. H., 1991, “Damping of Structural Vibrations with Piezoelectric Materials and Passive Electrical Networks,” J. Sound Vib., 146(2), pp. 243–268.
von Flotow, A. H., Beard, A., and Bailey, D., 1994, “Adaptive Tuned Vibration Absorbers: Tuning Laws, Tracking Agility, Sizing, and Physical Implementations,” Proceedings of NOISE-CON 94, Ft. Lauderdale, FL, pp. 437–455.
Davis,  C. L., and Lesieutre,  G. A., 2000, “An Actively Tuned Solid-State Vibration Absorber Using Capacitive Shunting of Piezoelectric Stiffness,” J. Sound Vib., 232(3), pp. 601–617.
Hollkamp,  J. H., and Starchville,  T. F., 1994, “A Self-Tuning Piezoelectric Vibration Absorber,” J. Intell. Mater. Syst. Struct., 5, pp. 559–566.
Agnes,  G. S., 1994, “Active/Passive Piezoelectric Vibration Suppression,” Proceedings of the SPIE,2193, pp. 24–34.
Kahn, S. P., and Wang, K. W., 1994, “Structural Vibration Controls via Piezoelectric Materials with Active-Passive Hybrid Networks,” Proceedings of ASME IMECE, DE-75 , pp. 187–194.
Tsai,  M. S., and Wang,  K. W., 1999, “On the Structural Damping Characteristics of Active Piezoelectric Actuators with Passive Shunts,” J. Sound Vib., 221(1), pp. 1–22.
Den Hartog, J. P., 1956, Mechanical Vibrations, McGraw-Hill, NY, pp. 87–105.
Handel,  P., and Tichavsky,  P., 1994, “Adaptive Estimation for Periodic Signal Enhancement and Tracking,” Intl. Journal of Adaptive Control and Signal Processing, 8, pp. 447–456.
Morgan,  R. A., Wang,  K. W., and Tang,  J., 2000, “Active Tuning and Coupling Enhancement of Piezoelectric Vibration Absorbers for Variable-Frequency Harmonic Excitations in Multiple Degrees of Freedom Mechanical Systems,” Proceedings of the SPIE, 3985, pp. 497–509.
Kuo, B. C., 1995, Automatic Control Systems, Prentice-Hall, Englewood Cliffs, NJ.
Kahlil, H. K., 1996, Nonlinear Systems, Prentice-Hall, NJ, pp. 100.
Chen, C. T., 1984, Linear System Theory and Design, Holt, Rinehart and Winston, Inc., NY, pp. 413.

Figures

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General system configuration
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Experimental verification of active coupling feedback (a) negative resistance effects (b) active coupling and negative resistance effects
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Effective generalized coupling coefficient vs. active coupling gain (Kij2=.02)
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(a) FRF (anti-resonant case) (b) optimal tuning curve (anti-resonance case)
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(a) FRF (no anti-resonance) (b) optimal tuning curve (no anti-resonance)

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