Use of shunted shear-mode piezoceramics for structural vibration passive damping

Piezoceramic materials shear response: approximate modal coupling and analysis

“…The modal effective EMCC results, corresponding to the frequencies given in Table 1, are shown in Figure 3. They indicate clearly (Figure 3a) that the approximation (7) values overestimate greatly the reference (2) ones; they are also much higher than those of the other approximations (3), (4), (5). The approximation (7) results are in line with those obtained using the 1D hybrid sandwich/equivalent single layer beam FE for the d 15 shear piezoceramic shunted damping evaluation which was found 5 very excessively promising according to these obtained modal effective EMCC.…”

“…While definitions, as in equations (1)(2)(3)(4)(5), provide positive modal effective EMCC 8 , equation (7) may provide negative values 9 ; this has to be interpreted that this expression may not be valid in this case.…”

“…Expressions (4,5) were not yet assessed for the piezoelectric d 15 shear-mode response, while those of equations (6,7) were found, using 1D sandwich FE 5,7,11 , to overestimate the 3D FE results; the last expression (7) may even provide negative values for the EMCC which should be positive; it is then the objective hereafter to assess the accurate definition (1), by considering EP (2) or ignoring it (3), versus the approximate definitions (4), (5) and (7).…”

“…Therefore, its accurate numerical evaluation requires specific coupled piezoelectric solutions under short-circuit (SC) and open-circuit (OC) electric BC that are often unavailable in general purpose numerical codes. Nevertheless, alternative approximate evaluations to the modal SC stiffness ones 5,6 have been recently proposed 8,9 and assessed for piezoceramic materials d 31 transverse-mode response. In particular, it was shown that they do not see uncoupled modes due to their impossibility to consider the physical equipotential (EP) constraints on the piezoceramic patches electroded surfaces.…”

Parametric analysis of effective material properties of thickness-shear piezoelectric macro-fibre composites

“…The presence of the new electrodes imposes a dominant electric field, either applied or induced, in the thickness direction, thus perpendicular to the length or width poling direction. Since the mid-90s, the shear mode of monolithic piezoceramic materials has been considered for applications in the design of smart structures (Sun and Zhang, 1995;Benjeddou, Trindade and Ohayon, 1997;Benjeddou, 2007;Trindade and Benjeddou, 2009), including active (Benjeddou, Trindade and Ohayon, 2000;Raja, Prathap and Sinha, 2002;Baillargeon and Vel, 2005), passive (Benjeddou and Ranger, 2006;Trindade and Maio, 2008) and active-passive Santos and Trindade, 2011) vibration control. From these studies, the shear mode seems to be an interesting alternative for stiffer structures, higher frequencies and non-standard shape deflection patterns.…”