This paper studies the piezoelectric damping of resistively shunted beams induced by the conversion of the vibration energy into electrical energy that is dissipated in the resistor through Joule heating. Significant contributions have been made in the modeling and development of the resistive shunt damping technique; however, many approaches involve complex models that require the use of numerical methods to determine system parameters and predict damping. This paper develops a closed-form solution for the optimal parameter of a resistive shunt damping system. The model is validated through experimental testing and provides a simple yet accurate method to predict the induced damping in a smart structure.
Issue Section:
Research Papers
Keywords:
beams (structures),
damping,
piezoelectric devices,
vibration control,
vibrations,
resistive shunt,
piezoelectric,
damping,
optimal tuning
Topics:
Damping
1.
Jones
, D. I. G.
, 2001, Handbook of Viscoelastic Vibration Damping
, Wiley
, New York
.2.
Lesieutre
, G. A.
, 1998, “Vibration Damping and Control Using Shunted Piezoelectric Materials
,” Shock Vib. Dig.
0583-1024, 30
, pp. 187
–195
.3.
Hagood
, N. W.
, and von Flotow
, A.
, 1991, “Damping of Structural Vibrations With Piezoelectric Materials and Passive Electrical Networks
,” J. Sound Vib.
0022-460X, 146
, pp. 243
–268
.4.
Wu
, S.
, 1996, “Piezoelectric Shunts With a Parallel R-L Circuit for Structural Damping and Vibration Control
,” Proceedings of the SPIE-Smart Structures and Materials Conference: Passive Damping and Isolation
, San Diego, CA, pp. 256
–269
.5.
Park
, C. H.
, and Inman
, D. J.
, 1999, “A Uniform Model for Series R-L and Parallel R-L Shunt Circuits and Power Consumption
,” Proceedings of the SPIE-Smart Structures and Integrated Systems Conference
, Newport Beach, CA, pp. 797
–804
.6.
Caruso
, G.
, 2001, “A Critical Analysis of Electric Shunt Circuits Employed in Piezoelectric Passive Vibration Damping
,” Smart Mater. Struct.
0964-1726, 10
, pp. 1059
–1068
.7.
Park
, C. H.
, and Inman
, D. J.
, 2003, “Enhanced Piezoelectric Shunt Design
,” Shock Vib.
1070-9622, 10
, pp. 127
–133
.8.
Park
, C. H.
, 2003, “Dynamics Modeling of Beams With Shunted Piezoelectric Elements
,” J. Sound Vib.
0022-460X, 268
, pp. 115
–129
.9.
Leo
, D. J.
, 2007, Engineering Analysis of Smart Material Systems
, Wiley
, New York
.10.
Hagood
, N. W.
, Chung
, W. H.
, and von Flotow
, A.
, 1990, “Modeling of Piezoelectric Actuator Dynamics for Active Structural Control
,” J. Intell. Mater. Syst. Struct.
1045-389X, 1
, pp. 327
–354
.11.
Hollkamp
, J. J.
, and Gordon
, R. W.
, 1996, “An Experimental Comparison of Piezoelectric and Constrained Layer Damping
,” Smart Mater. Struct.
0964-1726, 5
, pp. 715
–722
.12.
Davis
, C. L.
, and Lesieutre
, G. A.
, 1995, “A Modal Strain Energy Approach to the Prediction of Resistively Shunted Piezoceramic Damping
,” J. Sound Vib.
0022-460X, 184
, pp. 129
–139
.13.
Fein
, O. M.
, and Gaul
, L.
, 2004, “On the Application of Shunted Piezoelectric Material to Enhance Structural Damping of a Plate
,” J. Intell. Mater. Syst. Struct.
1045-389X, 15
, pp. 737
–743
.14.
Law
, H. H.
, Rossiter
, P. L.
, Simon
, G. P.
, and Koss
, L. L.
, 1996, “Characterization of Mechanical Vibration Damping by Piezoelectric Materials
,” J. Sound Vib.
0022-460X, 197
, pp. 489
–513
.15.
Liao
, Y.
, and Sodano
, H. A.
, 2008, “Structural Effects and Energy Conversion Efficiency of Power Harvesting
,” J. Intell. Mater. Syst. Struct.
1045-389X, 20
, pp. 505
–514
.16.
Sodano
, H. A.
, Park
, G.
, and Inman
, D. J.
, 2004, “Estimation of Electric Charge Output for Piezoelectric Energy Harvesting
,” Strain
0039-2103, 40
, pp. 49
–58
.17.
Liao
, Y.
, and Sodano
, H. A.
, 2008, “Model of a Single Mode Energy Harvester and Properties for Optimal Power Generation
,” Smart Mater. Struct.
0964-1726, 17
, p. 065026
.Copyright © 2010
by American Society of Mechanical Engineers
You do not currently have access to this content.
