<title>Model for rate-dependent hysteresis in piezoceramic materials operating at low frequencies</title>

Abstract

Abstract. This paper addresses the modeling of certain rate-dependent mechanisms which contribute to hysteresis inherent to piezoelectric materials operating at low frequencies. While quasistatic models are suitable for initial material characterization in some applications, the reduction in coercive field and polarization values which occur as frequencies increase must be accommodated to achieve the full capabilities of the materials. The model employed here quantifies the hysteresis in two steps. In the first, anhysteretic polarization switching is modeled through the application of Boltzmann principles to balance the electrostatic and thermal energy. Hysteresis is then incorporated through the quantification of energy required to translate and bend domain walls pinned at inclusions inherent to the materials. The performance of the model is illustrated through a fit to low frequency data (0.1 Hz -1 Hz) from a PZT5A wafer.

Resonant control of structural vibration using charge-driven piezoelectric actuators

“…It can be verified that the multivariable transfer function matrix relating to is given by (9) 4 Note that this is consistent with the sensor equation in [21]. A point that is needed to be clarified here is what happens when in (9).…”

“…A point that is needed to be clarified here is what happens when in (9). When the piezoelectric actuators are driven by voltage amplifiers, and (see Fig.…”

“…9 Proof: Feedback connection of (1) and (4) is stable if and only if the closed loop system depicted in Fig. 24 …”

Studies on rate-dependent switching effects of piezoelectric materials using a finite element model

“…The one being realized refers to the largest change in energy as represented by Eq. (36). However, even the polarization vector orientation which leads to the lowest possible energy level might violate the switching criterion.…”

“…These studies show that the coercive field increases with increasing loading frequency. Smith et al [36] developed a model for rate-dependent hysteresis at low excitation frequency ranges. This formulation additionally captures the movement of domain walls.…”