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TECHNICAL PAPERS

A Novel Semi-Active Multi-Modal Vibration Control Law for a Piezoceramic Actuator

[+] Author and Article Information
Lawrence R. Corr, William W. Clark

Vibration and Control Laboratory, Mechanical Engineering Department, University of Pittsburgh, Pittsburgh, PA 15261e-mail: bluetick@pitt.edu

J. Vib. Acoust 125(2), 214-222 (Apr 01, 2003) (9 pages) doi:10.1115/1.1547682 History: Received May 01, 2001; Revised September 01, 2002; Online April 01, 2003
Copyright © 2003 by ASME
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References

Hagood, N. W., Chung, W. H., and von Flotow, A., 1990, “Modelling of Piezoelectric Actuator Dynamics for Active Structural Control,” Proc. of the AIAA/ASME/ASCE/AHS/ASC 31st Structures, Structural Dynamics and Materials Conference, AIAA-90-1097-CP, Long Beach, CA, pp. 2242–2256.
Hagood,  N. W., and von Flotow,  A., 1991, “Damping of Structural Vibrations with Piezoelectric Materials and Passive Electric Networks,” J. Sound Vib., 146(2), pp. 243–268.
Wu, S., 1996, “Piezoelectric Shunts with a Parallel R-L Circuit for Structural Damping and Vibration Control,” Proc. of SPIE Smart Structures and Materials Conference: Passive Damping and Isolation, San Diego, CA, 2720, pp. 259–269.
Clark,  W. W., 2000, “Vibration Control with State-switching Piezoelectric Materials,” J. Intell. Mater. Syst. Struct., 11(4), pp. 263–271.
Richard, C., Guyomar, D., Audigier, D., and Ching, G., 1999, “Semi-passive Damping Using Continuous Switching of a Piezoelectric Device,” Proc. of SPIE Smart Structures and Materials Conference: Passive Damping and Isolation, San Diego, CA, 3672, pp. 104–111.
Corr,  L. R., and Clark,  W. W., 2002, “Energy Dissipation Analysis of Piezoceramic Semi-active Vibration Control,” J. Intell. Mater. Syst. Struct., 12(11), pp. 719–792.
Corr,  L. R., and Clark,  W. W., 2002, “Comparison of Low Frequency Piezoceramic Switching Shunt Techniques for Structural Damping,” Smart Mater. Struct., 11, pp. 1–7.
Richard, C., Guyomar, D., Audigier, D., and Bassaler, H., 2000, “Enhanced Semi Passive Damping Using Continuous Switching of a Piezoelectric Device on an Inductor,” Proc. of SPIE Smart Structures and Materials Conference: Passive Damping and Isolation, 3989 , pp. 288–299.
Corr, L. R., 2001, “Investigation of Real-time Switching of Piezoceramic Shunts for Structural Vibration Control,” Ph.D. thesis, University of Pittsburgh, Pittsburgh, PA.
Chen,  J. C., 1984, “Response of Large Space Structures with Stiffness Control,” J. Spacecr. Rockets, 21(5), pp. 463–467.
Onoda,  J., Endo,  T., Tamaoki,  H., and Watanabe,  N., 1991, “Vibration Suppression by Variable-stiffness Members,” AIAA J., 29(6), pp. 977–983.
Minesugi, K., and Kondo, K., 1993, “Semi-active Vibration Suppression of Large Space Structures with a Variable Axial Stiffness Member,” Proc. of the AIAA/ASME/ASCE/AHS/ASC 34th Structures, Structural Dynamics and Materials Conference, AIAA-93-1693-CP, La Jolla, CA, pp. 3305–3311.
Sage, A. P., and White, C. C., 1977, Optimum Systems Control, 2nd ed., Prentice-Hall.

Figures

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Type II mechanical spring
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(a) coupled structure and piezoceramic element shown with arbitrary charge, Qapp, applied to the piezoceramic (b) system shown with switched RL shunt circuit
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Example of a modal system with a piezoceramic spring
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Simple six degree of freedom mechanical system with an attached piezoceramic-resistor/inductor (RL) shunt actuator
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Modal response of system for single mode control
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Normalized energy of all modes for single mode control. The total structural energy is marked as “Etot,” and each individual mode’s energy is marked as E1−E6.
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Rate of change of energy for control mode and voltage across piezoceramic actuator for single mode control
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Modal response of system for multi-mode control (modes 1–3 are controlled)
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Normalized energy of all modes for multi-mode control. The total structural energy is marked as “Etot,” and each individual mode’s energy is marked as E1−E6.
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Rate of change of energy for control modes and voltage across piezoceramic actuator for multi-mode control
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Experimental test structure
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Digital switching circuit for multi-modal pulse-switched control
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Frequency response function with 2nd mode targeted
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Frequency response function with 2nd, 3rd, and 4th, modes targeted

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