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
−eTwvw(t) + CpSV (t) = Q(t) where M, K, C stand respectively for mass, damping and open circuit stiffness matrices, ewv is the piezoelectric coupling matrix depending on piezoelectric material coefficients e and on geometric and support characteristics, CpS is the diagonal matrix of each equivalent piezoelectric capacitances for zero strain. w represents the vector of mechanical degrees of freedom and V, the vector of the applied upper electrode voltage, whereas Q is the dual measured current
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
Summary
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. Structures and systems able 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
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