Dynamic Formulations of Plates with Shunted Piezoelectric Materials

Abstract

Vibration control of plates with a passive electrical damper is presented in this article. This electrical absorber, piezoelectric patches connected with a resistor and an inductor in series, is analogous to the damped mechanical vibration absorber. For estimating the effectiveness of the piezoelectric absorber, the governing equations of motion are derived by applying the classical laminate plate theory and Hamilton's principle. The theoretical analysis developed is validated experimentally for the simply supported aluminum plates to demonstrate the performance of a passive electrical damper. The model developed presents an invaluable means for designing and predicting the performance of a smart plate that can be used in many critical engineering applications.

Keywords

vibration control shunt circuit piezo material structural dynamics

Get full access to this article

View all access options for this article.

References

Agnes, G. 1995. “Development of a Model for Simultaneously Active and Passive Piezoelectric Materials and Passive Electrical Networks,” J. of Intelligent Materials Systems and Structures, 6: 482–487 .

Hagood, N.W. and von Flotow, A. 1991. “Damping of Structural Vibration with Piezoelectric Materials and Passive Electrical Networks,” J. of Sound Vibration, 146(2): 243–268 .

Horowitz, P. and Hill, W. 1989. The Art of Electronics, Press Syndicate of the University of Cambridge .

Kim, S.J. , Moon, S.H. and Lee, S.K. 2000. “Comparison of Active and Passive Suppressions of Nonlinear Panel Flutter Using Finite Element Method,” In: 41st AIAA/ASME/ASCE/AHS/ASC Structural Dynamics, Mater. Conference, pp. 1–9 .

Meirovitch, L. 1997. Principles and Techniques of Vibrations, Prentice Hall, London .

Park, C.H. and Inman, D.J. 2003. “Enhanced Piezoelectric Shunt Design,” J. of Shock and Vibration, 10(2): 127–133 .

Reddy, J.N. 1997. Mechanics of Laminated Plates: Theory and Analysis, CRC Press, Boca Raton, FL .

Tang, J. and Wang, K.W. 2001. “Active-passive Hybrid Piezoelectric Networks for Vibration Control: Comparisons and Improvement,” Smart Materials and Structures, 10: 794–806 .

Wu, S. 1996. “Piezoelectric Shunts with a Parallel R-L Circuit for Structural Damping and Vibration Control,” Proceedings of SPIE, 2720: 259–269 .