Quantification of hysteresis and nonlinear effects on the frequency response of ferroelectric and ferromagnetic materials

Abstract

Abstract. Ferroelectric (e.g., PZT and PMN) and ferromaqnetic (e.g., Terfenol-D) materials exhibit high energy densities, broadband drive capabilities, and the capacity for both actuating and sensing. This makes them attractive as compact transducers for applications including nanopositioning systems such as atomic force microscopes (AFM), acoustic transducers, and drive mechanisms for high speed milling. However, these materials also exhibit hysteresis and constitutive nonlinearities at all drive levels. To achieve stringent tracking requirements, it is critical to understand and quantify the effect of hysteresis and nonlinearities on the frequency behavior of devices that employ these compounds. Whereas considerable progress has been made on model development and understanding these materials in the parameter space and time domain, comprehensive quantification of these effects in the frequency domain is presently lacking. In this paper, we investigate both numerically and experimentally the effect of hystersis, constitutive nonlinearities, bias fields and AC drive levels on the frequency domain behavior of ferroelectric and ferromagnetic materials.

On hysteresis modeling of a piezoelectric precise positioning system under variable temperature

“…Hysteresis effects under Asymmetric hysteresis and saturation, see for example [16,17,18,19] Excitation frequency, see for example [10,20,21,22,23,24] Input voltage biases, see for example [25,26,27] Stress level, see for example [28,29] Temperature effect [This study] of the available studies present the hysteresis nonlinearities modeling under different conditions as represented in Figure 1. However, beyond their strong hysteresis nonlinearities, these actuators also exhibit high sensitivity to the variation of the surrounding temperature [15] and very few works were devoted to them.…”

Dynamic Simulation of a Fe-Ga Energy Harvester Prototype Through a Preisach-Type Hysteresis Model

“…The piezomagnetic equations were presented in early papers, such as [7]. Even though these early papers were only focused on models of the magnetostrictive material, new approaches showed the coupling of electromagnetic and magnetoelastic phenomena, together with the development of advanced hysteresis models [8,9,10,11,12]. Finally, the Armstrong model-based approach was applied, to simulate an entire device [13], in which the coupling variables were magnetostriction and magnetic permeability.…”

Experimental characterization and modeling of rate-dependent asymmetric hysteresis of magnetostrictive actuators

“…Stuebner et al [11] measured the effect of the input bias on the hysteresis properties of a magnetostrictive actuator by applying inputs of identical amplitude (12.5 kA m −1 ) but three different bias levels (25,50 and 75 kA m −1 ). The amplitudes of output displacement were observed to be 50% and 75% lower, respectively, in the presence of 50 and 75 kA m −1 bias compared to that measured under the lower bias of 25 kA m −1 .…”

“…The measured data revealed not only substantially lower output displacement in the presence of input bias but also lower hysteresis and higher asymmetry in the output-input characteristics with increasing bias. The reported studies suggest coupled effects of input bias, amplitude and frequency on the hysteresis and output saturation nonlinearities of the magnetostrictive actuators, although most of the reported studies have mainly investigated the effects of only one of the factors, namely, the input amplitude [8,9,15], the bias [11], or the frequency [13,14]. A study of the output-input properties of the magnetostrictive actuator under varying amplitude, bias and frequency of the input may provide a better understanding of the hysteresis and saturation nonlinearities of the actuator.…”