Active Vibration Confinement of Flexible Structures Using Piezoceramic Patch Actuators

Abstract

A new full state feedback control strategy is proposed to confine the vibratory motion of flexible structures. The purpose of active vibration confinement is to prohibit structural vibration initiated at some part of a structure from being transferred into a vibration sensitive portion of the structure. It allows more effective vibration suppression especially when control authority is limited. The distributed system is discretized using the finite element method and the control force is calculated such that the closed-loop mode shapes have reduced amplitudes in the concerned area. The derived control algorithm is based on the assumption that all the state variables are known in real time. To obtain this information, a full-state observer, using small segments of piezoelectric film as sensors, is utilized. The proposed approach is demonstrated by an experiment where two PZT patch actuators confine the vibration of a pinned-pinned beam using two PVDF patches as sensors. Both simulation and experiment results verify the effectiveness of the algorithm.

Keywords

active vibration control vibration confinement vibration localization eigenvector shaping full state feedback.

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References

Callahan, J. and Baruh, H. 1999. ``Modal Sensing of Circular Cylindrical Shells using Segmented Piezoelectric Elements,'' Smart Materials and Structures, 8(1):125—135.

Chandrupatla, T.R. and Belegundu, A.D. 1997. Introduction to Finite Elements in Engineering, 2nd edn, Prentice-Hall, Upper Saddle River, New Jersey.

Choura, S. and Yigit, A.S. 1995. ``Vibration Confinement in Flexible Structures by Distributed Feedback,'' Comput. Struct., 54(3):531—540.

Choura, S. and Yigit, A.S. 2001. ``Confinement and Suppression of Structural Vibrations ,'' Journal of Vibration and Acoustics, 123(4): 496—501.

Clark, W.W. and Corr, L.R. 2002. ``Active and Passive Vibration Confinement using Piezoelectric Transducers and Dynamic Vibration Absorbers,'' Journal of Mechanical Behavior of Materials, 13(2):117—133.

Clark, W.W. and Zhu, Z. 1998. ``Experimental Analysis of Vibration Confinement to Enhance Conventional Active Vibration Control,'' In: Proceedings of SPIE International Conference on Smart Structures and Materials, March 1—5, San Diego, CA, Vol. 3326, pp. 440—447.

Corr, L.R. and Clark, W.W. 1999. ``Active and Passive Vibration Confinement using Piezoelectric Transducers and Dynamic Vibration Absorbers,'' In: Proceedings of SPIE International Conference on Smart Structures and Materials , March 1—5, New Port Beach, CA, Vol. 3668, pp. 747—758.

Moore, B.C. , 1976. ``On the Flexibility Offered by State Feedback in Multi-Variable Systems Beyond Closed-Loop Eigenvalue Assignment,'' IEEE Trans. Autom. Control, AC-21(5):689—692.

Preumont, A. 2002. Vibration Control of Active Structures: An Introduction , 2nd edn, Kluwer Academic Publishers , Dordrecht, The Netherlands.

10.

Shelley, F.J. and Clark, W.W. 1996. ``Eigenvector Scaling for Mode Localization in Vibrating Systems,'' AIAA J. Guid. Control Dyn., 19(6):1342—1348.

11.

Shelley, F.J. and Clark, W.W. 2000a. ``Active Mode Localization in Distributed Parameter Systems With Consideration of Limited Actuator Placement, Part 1: Theory,'' ASME J. Vibr. Acoust., 122(2):160—164.

12.

Shelley, F.J. and Clark, W.W. 2000b. ``Active Mode Localization in Distributed Parameter Systems With Consideration of Limited Actuator Placement, Part 2: Simulations and Experiments,'' ASME J. Vibr. Acoust., 122(2):165—168.

13.

Tang, J. and Wang, K.W. 2004. ``Vibration Confinement via Optimal Eigenvector Assignment and Piezoelectric Networks,'' ASME J. Vibr. Acoust., 126(1):27—36.

14.

Yigit, A.S. and Choura, S. 1995. ``Vibration Confinement in Flexible Structures via Alteration of Mode Shapes by using Feedback,'' Journal of Sound and Vibration , 179(4):553—567.

15.

Yoon, H.-S. and Washington, G.N. 2004. ``Active Vibration Confinement of Flexible Structures Using Modal Observers,'' International Conference on Adaptive Structures and Technologies (ICAST) 2004, October, Bar Harbor, ME.

16.

Yoon, H.-S. and Washington, G.N. 2005. ``Vibration Confinement of Flexible Structures using Piezoceramic Actuators,'' In: SPIE International Conference on Smart Structures and Materials, March 6—10, San Diego, CA, Vol. 5757, pp. 441—450.

17.

Yoon, K.J. , Park, K.H. , Lee, S.K. , Goo, N.S. and Park, H.C. 2004. ``Analytical Design Model for a Piezo-composite Unimorph Actuator and its Verification using Lightweight Piezo-composite Curved Actuators ,'' Smart Mater. Struct., 13(3): 459—467.