TECHNICAL PAPERS
Aug 1, 1995

Vibration Control of Moving Flexible Member Using Piezoelectric Actuators

Publication: Journal of Engineering Mechanics
Volume 121, Issue 8

Abstract

The active vibration control of a moving flexible member was studied in this work. The equation of motion of flexible members could be expressed as a continuous time-varying state equation in the state space. The matrix of state transition was approximated stepwise by the matrix exponential; in addition, the state equation was discretized to a difference equation to improve the computing efficiency. Furthermore, an optimal control of time-varying procedure system based on the minimization of a quadratic performance index for state vectors and control forces was developed. Active vibration control of a rotating beam was selected as a numerical example in making a comparison with other methods. Active vibration control of a rotating beam using the piezoelectric actuators was carried out as an experiment example.

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References

1.
Bailey, T., and Hubbard, J. E.(1985). “Distributed piezoelectric polymer active vibration control of a cantilever beam.”AIAA J. Guidance and Control, 6(5), 605–611.
2.
Cha, J. Z., Pitarresi, J. M., and Soong, T. T.(1988). “Optimal design procedures for active structures.”J. Struct. Engrg., ASCE, 114(12), 2710–2722.
3.
Chung, L. L., Reinhorn, A. M., and Soong, T. T.(1988). “Experiments on active control of seismic structures.”J. Engrg. Mech., ASCE, 114(2), 241–256.
4.
Crawley, E. F., and de Javier, L.(1987). “Use of piezoelectric actuators as elements of intelligent structures.”AIAA J., 25(10), 1373–1385.
5.
Dimitriadis, E. K., Fuller, C. R., and Rogers, C. A. (1991). “Piezoelectric actuators for distributed vibration excitation of thin plates.”Trans. ASME, 113(Jan.), 100–107.
6.
Hanagud, S., Obal, M. W., and Calise, A. J. (1992). “Optimal vibration control by the use of piezoceramic sensors and actuators.”J. Guidance Control and Dynamics, 15(Sep.-Oct.), 1199–1206.
7.
Hung, C. F., Wu, H. T., and Chiu, J. T. (1993). “Dynamics of flexible mechanisms.”J. Soc. of Naval Archit. and Marine Engrg., R.O.C., Taipei, 12(1), 35–53 (in Chinese).
8.
Ogata, K. (1987). Discrete-time control system . Prentice-Hall International, Inc., Englewood Cliffs, N.J.
9.
Palazzolo, A. B., Lin, R. R., Kascak, A. F., and Alexander, R. M.(1989). “Active control of transient rotor dynamic vibration by optimal control methods.”J. Engrg. Gas Turbines Power; Trans. ASME, 111(2), 264–270.
10.
Rodellar, J.(1989). “Experimental digital control of structure.”J. Engrg. Mech., 115(6), 1245–1261.
11.
Turtic, D. A., and Midha, A. (1984). “Generalized equations of motion for the dynamic analysis of elastic mechanism systems.”J. Dynamic Systems, Measurement and Control, Vol. 106, 243–248.
12.
Turtic, D. A., and Midha, A. (1984a). “Dynamic analysis of elastic mechanism systems. I: Applications.”J. Dynamic Systems, Measurement and Control, Vol. 106, 249–254.
13.
Turtic, D. A., Midha, A., and Rosnik, J. R. (1984b). “Dynamic analysis of elastic mechanism systems. II: Experimental results.”J. Dynamic Systems, Measurement and Control, Vol. 106, 255–260.
14.
Wu, S. E., and Haug, E. J. (1988). “Geometric non-linear substructuring for dynamics of flexible mechanical systems.”Int. J. Numerical Methods in Engrg., Vol. 26, 2211–2226.
15.
Yang, J. N., Akbarpour, A., and Ghaemmaghami, P.(1987). “New optimal control algorithms for structural control.”J. Engrg. Mech., ASCE, 113(9), 1369–1386.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 121Issue 8August 1995
Pages: 858 - 864

History

Published online: Aug 1, 1995
Published in print: Aug 1995

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Authors

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Chen-Far Hung
Prof., Dept. of Naval Arch. and Oc. Engrg., Nat. Taiwan Univ., Taipei, Taiwan, Republic of China.
Jinn-Tong Chiu
Grad. Student, Dept. of Naval Arch. and Oc. Engrg., Nat. Taiwan Univ., Taipei, Taiwan, Republic of China.

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