An Effective Approach for Optimal PZT Vibration Absorber Placement on Composite Structures

Suresh Venna, Yueh-Jaw Lin

Department of Mechanical Engineering, The University of Texas at Tyler, Tyler, USA.

DOI: 10.4236/mme.2013.31002                

Abstract

In this paper, an attempt is made to determine the electric potential that would be generated in the piezoelectric vibration absorber using finite element piezoelectric analysis to determine optimal locations for damping of the first mode. Optimal placement of piezoelectric vibration absorber for passive vibration control application of a cantilever composite plate is investigated. Finite element piezoelectric modal analysis is performed. Models based on placing piezoelectric vibration absorbers at five different locations on the surface of the plate and incorporating piezoelectric properties are built. Modal analysis is used to find the electric potential developed in the piezoelectric vibration absorber. The location that yields the highest amount of electric potential would naturally be the best location for the vibration absorber. First bending mode of the cantilever composite plate is aimed for damping. Results of the analysis are verified with an experimental testing of the composite plate with piezoelectric vibration absorber firmly attached to the plate on the most effective location. A good agreement is found between the analytical and experimental results. Further, a resistive shunt circuit is designed for the passive damping of the first mode and attached to the vibration absorber in which the electric potential developed would be dissipated as heat to obtain passive vibration compensation. The experiment also demonstrates that a damping of 6 percent is obtained in the first mode of vibration and a great amount of damping is achieved in the second and third modes as well.

 

Keywords

Piezoelectric; Modal Analysis; Vibration Absorber; Damping; Shunt Circuit

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	J. H. Han and I. Lee, “Optimal Placement of Piezoelectric Sensors and Actuators for Vibration Control of a Composite Plate Using Genetic Algorithms,” Smart Materials and Structures, Vol. 8, No. 2, 1999, pp. 257-267. doi:10.1088/0964-1726/8/2/012
[2]	J. Jia and C. A. Rogers, “Optimal Placement of Piezoelectric Actuators in Adaptive Truss Structures,” Journal of Sound and Vibration, Vol. 171, No. 1, 1994, pp. 67-85. doi:10.1006/jsvi.1994.1104
[3]	B. Renato, M. Alessandro, F. Enrico and G. Paolo, “Optimal Placement of PZT Actuators for the Control of Bema Dynamics,” Smart Materials and Structures, Vol. 9, No. 1, 2010, pp. 110-120.
[4]	L. Yong, O. Jungiro and M. Kenji, “Simultaneous Optimization of Piezoelectric Actuator Placement and Feedback for Vibration Suppression,” Acta Astronautica, Vol. 50, No. 6, 2012, pp. 335-341.
[5]	R. E. Holman, S. Spencer, E. Austin and C. Johnson, “Passive Damping Technology Demonstration,” SPIE, Vol. 2445, No. 1, 1995, pp. 136-148.
[6]	J. Hollkamp and R. W. Gordon, “An Experimental Comparison of Piezoelectric and Constrained Layer Damping,” SPIE, Vol. 3045, No. 1, 1997, pp. 51-59.
[7]	S. Yau and Y. Wu, “Piezoelectric Shunt Vibration Damping of F-15 Panel under High Acoustic Excitation,” SPIE, Vol. 3989, No. 2, 2010, pp. 276-287.
[8]	S. Venna, “Passive Vibration Control of a Cantilever Laminated Composite Plate with Piezoelectric Transducer and Viscoelastic Material,” M.S. Thesis, University of Akron, Akron, 2007.
[9]	N. W. Hagood and F. Von, “A. Damping of Structural Vibrations with Piezoelectric Materials and Passive Electrical Networks,” Journal of Sound and Vibration, Vol. 146, No. 2, 2001, pp. 243-268. doi:10.1016/0022-460X(91)90762-9
[10]	S. Wu and A. S. Bicos, “Structural Vibration Damping Experiments Using Improved Piezoelectric Shunts,” SPIE, Vol. 3045, No. 1, 1997, pp. 40-50. doi:10.1117/12.274217