Abstract
The objective of this work is to characterize the nonlinear dependence of the piezoelectric d15 shear coefficient of a composite actuator on the static electric field and include this effect in finite element (FE) simulations. The Levenberg-Marquardt nonlinear least squares optimization algorithm implemented in MATLAB was applied to acquire the piezoelectric shear coefficient parameters. The nonlinear piezoelectric d15 shear constant of the composite actuator integrated with piezoceramic d15 patches was obtained to be 732 pC/N at 198 V. The experimental benchmark was simulated using a three-dimensional piezoelectric FE model by taking piezoelectric nonlinearity into consideration. The results revealed that the piezoelectric shear d15 coefficient increased nonlinearly under static applied electric fields over 0.5 kV/cm. A comparison between the generated transverse deflections of the linear and nonlinear FE models was also performed.
Highlights
Nonlinear Piezoelectric Shear d15d15 shear-mode piezoceramics have stronger electromechanical properties than d31 or d33 modes [1,2], and they show nonlinear piezoelectric behavior due to domain wall motion [3]
Hagiwara et al [8] studied the nonlin sponse in (K,Na)NbO3-based lead-free piezoceramics at a high frequency of 1 dade and Kakazu [19] presented some theoretical results on the application of 15 electric nonlinear effect in shear actuation of sandwich beams; 2however, analysis was not performed in their study, and the piezoelectric coefficient analysis were taken from Mueller and Zhang’s work [14], which was cond in (K,Na)NbO3 -based lead-free piezoceramics at a high frequency of 150 kHz
To investigate the piezoelectric shear response under static electric field patches of dimensions 25 × 25 × 0.5 mm3 were supplied from providedby bythe themanufacturer manufacturer (PI) (Munich, Germany)
Summary
D15 shear-mode piezoceramics have stronger electromechanical properties than d31 or d33 modes [1,2], and they show nonlinear piezoelectric behavior due to domain wall motion [3]. If the applied electric field exceeds this limiting value, the non-180◦ domain walls are induced dynamically, and the piezoelectric material reveals nonlinearity [6,7]. Investigated the nonlinearity in the piezoelectric shear response of a single soft piezoceramic plate by applying bipolar and unipolar harmonic triangular electric fields under dynamic operational conditions. Hagiwara et al [8] studied the nonlin sponse in (K,Na)NbO3-based lead-free piezoceramics at a high frequency of 1 dade and Kakazu [19] presented some theoretical results on the application of 15 electric nonlinear effect in shear actuation of sandwich beams; 2however, analysis was not performed in their study, and the piezoelectric coefficient. WereThis retrieved from the experimental data characterize the nonlinear piez paper presents an optimization method fortononlinear piezoelectric material parameter estimation in d shear-mode composite actuators.
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