Improved resistive shunt by means of negative capacitance: new circuit, performances and multi-mode control

This paper deals with vibration control by means of piezoelectric patches shunted with electrical impedances made up by a resistance and a negative capacitance. The paper analyses most of the possible layouts by which a negative capacitance can be built and shows that a common mathematical description is possible. This allows closed formulations to be found in order to optimise the electrical network for mono- and multi-mode control. General analytical formulations are obtained to estimate the performance of the shunt in terms of vibration reduction. In particular, it is highlighted that the main effect of a negative capacitance is to artificially enhance the electromechanical coupling factor, which is the basis of performance estimation. Stability issues relating to the use of negative capacitances are especially addressed using refined models for the piezoelectric patch capacitance. Furthermore, a new circuit based on a couple of negative capacitances is proposed and tested, showing better performances than those provided by the usual layouts with a single negative capacitance. Finally, guidelines and analytical formulations to deal with the practical implementation of negative capacitance circuits are provided.

[1]  O. Thomas,et al.  Performance of piezoelectric shunts for vibration reduction , 2011 .

[2]  Andrew J. Fleming,et al.  A broadband controller for shunt piezoelectric damping of structural vibration , 2003 .

[3]  Marta Berardengo,et al.  Vibration Control by Means of Piezoelectric Actuators Shunted with LR Impedances: Performance and Robustness Analysis , 2015 .

[4]  Jean-François Deü,et al.  Structural Vibration Reduction by Switch Shunting of Piezoelectric Elements: Modeling and Optimization , 2010 .

[5]  Amr M. Baz,et al.  Vibration Control of Beams with Negative Capacitive Shunting of Interdigital Electrode Piezoceramics , 2005 .

[6]  Stefano Manzoni,et al.  Vibration attenuation by means of piezoelectric transducer shunted to synthetic negative capacitance , 2012 .

[7]  Jean-François Deü,et al.  Placement and dimension optimization of shunted piezoelectric patches for vibration reduction , 2012 .

[8]  A. Chaigne,et al.  Asymmetric non-linear forced vibrations of free-edge circular plates. Part II: Experiments , 2003 .

[9]  A. Preumont,et al.  Vibration damping with negative capacitance shunts: theory and experiment , 2008 .

[10]  Manuel Collet,et al.  The power output and efficiency of a negative capacitance shunt for vibration control of a flexural system , 2013 .

[11]  David G. Jones,et al.  Vibration and Shock in Damped Mechanical Systems , 1968 .

[12]  V. Linhart,et al.  Adaptive vibration suppression system: an iterative control law for a piezoelectric actuator shunted by a negative capacitor , 2012, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control.

[13]  O. Thomasa,et al.  Asymmetric non-linear forced vibrations of free-edge circular plates. Part II: experiments , 2003 .

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

[15]  Olivier Thomas,et al.  Vibrations of an elastic structure with shunted piezoelectric patches: efficient finite element formulation and electromechanical coupling coefficients , 2009 .

[16]  Munehiro Date,et al.  Electrically controlled elasticity utilizing piezoelectric coupling , 2000 .

[17]  M. Collet,et al.  Response-based tuning of a negative capacitance shunt for vibration control , 2014 .

[18]  S. O. Reza Moheimani,et al.  Piezoelectric Transducers for Vibration Control and Damping , 2006 .

[19]  Girolamo Cardano,et al.  The Rules of Algebra: (Ars Magna) , 2007 .