Electromechanical analysis of piezoelectric bimorph actuator in static state considering the nonlinearity at high electric field

A Study on the Effect of Piezoelectric Nonlinearity on the Bending Behaviour of Smart Laminated Composite Beam

“…A PZT cantilever bimorph of dimension with opposite polarity is considered as shown in Figure 2 to validate the effect of the electrostrictive coefficient on the deflection of a beam. The example is numerically analyzed by researchers [ 11 , 14 ] using the effect of the electrostrictive coefficient in the nonlinear constitutive equation and validated the results for transverse deflection with the experimental results of Wang et al [ 8 ].…”

“… Variation of tip deflection with the increasing electric field for cantilever bimorph with opposite polarity (Reference results are taken from Chattaraj & Ganguli [ 14 ]). …”

“…In contrast, Kapuria & Yasin [ 11 ] presented a layerwise finite element model for the static analysis of piezoelectric laminates considering nonlinear electrostrictive coefficient under strong electric field and extended the model to vibration control of plate and shell [ 12 , 13 ]. Analysis of piezoelectric cantilever bimorph is conducted by Chattaraj & Ganguli [ 14 ] using electro-elastic nonlinearity under a strong electric field based on Euler beam theory. Recently, Sumit et al [ 15 ] developed an analytical model to study the effect of nonlinear coefficients on the response of unimorph and bimorph actuators using a second-order constitutive equation.…”

A review of effect of higher-order nonlinear theories on analysis of piezoelectric laminates

“…Yoon et al [21] developed an electro-mechanical analytical model for estimating power generation by energy harvester for the surface-bonded piezoelectric patch based on Kirchhoff theory. The classical theory is applied for analyzing electro-mechanical performance [22]. Further, Chattaraj & Ganguli [23] used the theory to introduce the effect of self-induced effect in the performance of the piezoelectric actuator.…”

“…Further, Yasin & Kapuria [89] applied the model under a high electric field to investigate the effect of piezoelectric non-linearity on vibration suppression of piezoelectric laminated shells. Using the Euler-Bernoulli beam model, an analytical investigation was performed to analyze the performance of rectangular bimorph cantilevers considering the second-order electric field dependent equation assuming small strain under a large electric field is presented Chattaraj & Ganguli [22]. Rao et al [90] presented finite element analysis for non-linear electro-mechanical behavior of piezoelectric laminated structures using second order non-linear constitutive equation assuming small strain under large electric field based on FSDT.…”