Vibration and Wave Propagation Control of Plates with Periodic Arrays of Shunted Piezoelectric Patches

Abstract

Periodic arrays of shunted, piezoelectric patches are employed to control waves propagating over the surface of plate structures, and corresponding vibrations. The shunted, piezoelectric patches act as sources of impedance mismatch, which gives rise to interference phenomena resulting from the interaction between incident, reflected and transmitted waves. Periodically distributed mismatch zones, i.e., the piezo patches, produce frequency dependent, wave-dynamic characteristics, which include the generation of band gaps, or stop bands in the frequency domain. The extent of induced band gaps depends on the mismatch in impedance generated by each patch. The total impedance mismatch, in turn, is determined by the added mass and stiffness of each patch as well as the shunting electrical impedance. Proper selection of the shunting electric-circuit thus provides control over the attenuation capabilities of the piezo-plate structure, as well as the ability to adapt to changing excitation conditions. Control of wavepropagation attenuation and vibration reduction for plates with periodic, shunted, piezoelectric patches is demonstrated numerically, employing finite-element models of the considered structures.

Power output and efficiency of a negative capacitance and inductance shunt for structural vibration control under broadband excitation

“…Therefore, it can be used to investigate the improvement in the shunt efficiency as given by equation (13). As discussed by Beck et al [27], the efficiency of the shunt can be increased only by decreasing the power output of op-amp as the power output of a shunt cannot change for a desired negative capacitance shunt impedance to produce control.…”

“…Fig. 6 shows all the necessary equipment, their configuration and experimental setup, while (13) where S shunt is the power output of the shunt and S op-amp is the power supplied by the op-amp U 1 . This equation (13) will also be used here to investigate the change in efficiency of the negative capacitance-inductance shunt for control of structural vibration under broadband excitation.…”

“…However, the control performance of the resonant shunt is limited to narrowband vibration attenuation, i.e. at or near the electrical resonance [10][11][12][13]. Many different techniques have been used by extending single mode shunts to multiple modes [14][15][16][17][18].…”

Design variables for optimizing adaptive metacomposite made of shunted piezoelectric patches distribution

“…The propagation of waves in smart periodic rods and axisymmetric shells was studied by Thorp et al (2005) who used RL piezoelectric shunts to passively control the vibration field. Recently Spadoni et al (2009) extended the concept to flat plates demonstrating that the width and location of stop bands in the frequency domain can be shaped through the tunable characteristics of periodic RL shunts. These techniques exploit the energy exchange mechanism established between the controlled structure and a resonating element to control its dynamic behavior.…”

Optimal shunt parameters for maximising wave attenuation with periodic piezoelectric patches

“…Several configurations of passive piezoelectric patches have been proposed, for example the resistive-inductive (R-L) circuit (Hagood and von Flotow (1991)) that acts as a dynamic vibration absorber reducing vibrations at the tuned frequencies. Later studies have introduced other circuits for shunted piezoelectric patches that makes use of different concepts, including multiple resonating circuits (Wu and McDonnell (1996);) and negative capacitance shunts ).With increasing interest in elastic metamaterials, piezoelectric patches arranged in periodic arrays (Thorp et al (2001);Spadoni et al (2009); Chen et al (2013a,b);Casadei et al (2012)) have been studied in order to create elastic metamaterials with tunable band gaps, which is a desired property for this class of materials (Hussein et al (2014)). Unlike conventional configurations for vibration attenuation, the periodic shunted piezoelectric patch arrangement creates band gaps, which are frequency ranges in which wave propagation cannot occur, to attenuate elastic waves without targeting a given mode of vibration (Spadoni et al (2009)).…”