Piezoelectric Damping of Resistively Shunted Beams and Optimal Parameters for Maximum Damping

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.

[1]  Daniel J. Inman,et al.  Estimation of Electric Charge Output for Piezoelectric Energy Harvesting , 2004 .

[2]  C. H. Park,et al.  Dynamics modelling of beams with shunted piezoelectric elements , 2003 .

[3]  Joseph J. Hollkamp,et al.  An experimental comparison of piezoelectric and constrained layer damping , 1996 .

[4]  Daniel J. Inman,et al.  Uniform model for series R-L and parallel R-L shunt circuits and power consumption , 1999, Smart Structures.

[5]  David I. G. Jones Handbook of Viscoelastic Vibration Damping , 2001 .

[6]  Donald J. Leo,et al.  Engineering Analysis of Smart Material Systems: Leo/Smart Material Systems , 2008 .

[7]  Daniel J. Inman,et al.  Enhanced Piezoelectric Shunt Design , 1998, Adaptive Structures and Material Systems.

[8]  Nesbitt W. Hagood,et al.  Damping of structural vibrations with piezoelectric materials and passive electrical networks , 1991 .

[9]  Shu-yau Wu,et al.  Piezoelectric shunts with a parallel R-L circuit for structural damping and vibration control , 1996, Smart Structures.

[10]  Henry A. Sodano,et al.  Structural Effects and Energy Conversion Efficiency of Power Harvesting , 2009 .

[11]  D. Leo Engineering Analysis of Smart Material Systems , 2007 .

[12]  George A. Lesieutre,et al.  Vibration damping and control using shunted piezoelectric materials , 1998 .

[13]  Nesbitt W. Hagood,et al.  Modelling of Piezoelectric Actuator Dynamics for Active Structural Control , 1990 .

[14]  George P. Simon,et al.  Characterization of mechanical vibration damping by piezoelectric materials , 1996 .

[15]  Henry A. Sodano,et al.  Model of a single mode energy harvester and properties for optimal power generation , 2008 .

[16]  C. Davis,et al.  A modal strain energy approach to the prediction of resistively shunted piezoceramic damping , 1995 .

[17]  Lothar Gaul,et al.  On the Application of Shunted Piezoelectric Material to Enhance Structural Damping of a Plate , 2004 .

[18]  G. Caruso A critical analysis of electric shunt circuits employed in piezoelectric passive vibration damping , 2001 .