Abstract

The capacity of different auto-supplied devices using shunted piezoelectric circuits are studied here to improve structural damping by avoiding implementation of complex and heavy control devices. The presented technique uses a dedicated numerical piezo-mechanical model combining both mechanical and electrical coupling parameters. An original methodology are also introduced for optimizing the parameters of electrical shunt circuits connected to piezoelectric elements and also structural locations of these integrated transducers. The results, experimentally validated (on beams and a plate), demonstrate that vibrations can be significantly reduced when shunted piezoelectric devices are mounted on a real structure. Finally, the proposed methodology is used for optimizing shape and location of the shunted piezoelectric patches to damp several modes of a plate.

Highlights

  • Research activities in smart materials and structures are very important today and represent a significant potential for technological innovation in mechanics and electronics

  • To study sensitivity of maximum induced damping ratio on the relative length between the supporting plate and the used piezoelectric patch and its connexion with our proposed criterion in Equation [12], we have experimentally evaluated for different beam length the short and open-circuit first eigen frequencies of the system, the free structural damping and the maximum of induced resistive damping as well as the obtained peak magnitude attenuations

  • The optimization of each applied resistance on each patch is made by dedicating each patch to damp only one mode depending on its best effective coupling coefficient given by the optimization algorithm

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Summary

Introduction

Research activities in smart materials and structures are very important today and represent a significant potential for technological innovation in mechanics and electronics. Numerous works have been published (Park et Palumbo 2004, Becker et al 2006, Hagood et von Flotow 1991, Agnes 1994, dell’Isola, Maurini et Porfiri 2004, Moheimani et Fleming 2006, Cross et Fleeter 2002, Beck, Cunefare et Ruzzene 2008) that present analysis of the capability and efficiency of a single shunted piezoelectrical patch for structural stabilization and wave cancellation With this approach, the sensing element is not needed and the use of a passive network guarantees the stability of the coupled system. Depending onto the used shunt circuits, the necessary large reactive part of the electrical circuit can be obtained by using suitable synthetic inductance or capacitance implying operational amplifiers (Fleming, Behrens et Moheimani 2003, Fleming et Moheimani 2004) Based on these works, this paper is focused on optimizing the fully electromechanical parameters behavior of shunted piezoelectric transducers for structural stabilization in a multi modal context. Experimental validation is carried out to validate the proposed methodology

Piezoelectric modeling and shunt circuit design
Modeling aspects
Electric shunt design parameter
Resistive shunt circuit
Negative capacitance circuit
Experimental protocol
Resistive shunt
Damping impact due to piezoelectric material type
Correlation with theoretical modeling
Negative capacitance shunt
Optimization of the location of R shunted piezoelectric patches on a plate
Modeling
Parametrization
Multi-modal criteria in the case of several piezoelectrics
Piezoelectric location optimization
Experimental results
Conclusion
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