A Linear Mapping Hysteresis Model Based on Theory of Microscopic Polarization

Abstract:

In this paper, the underlying anhysteretic polarization is quantified through constitutive equations derived using Boltzmann statictics and Langevin model. The remanent polarization and the irreversible polarization are analyzed. A thermodynamic description of ferroelectric phenomena is proposed to address the coupling relations between electrical field and mechanical field by considering the series expansion of the elastic Gibbs energy function. A simple linear mapping hysteresis model based on theory of microscopic polarization is derived. In order to evaluate the effectiveness of the proposed model, a micro-positioning stage driven by the PZT in open-loop operation was used to test. The experimental results show that the proposed hysteresis model could precisely describe hysteresis phenomena. The fitting error is within 0.5%.

• Periodical: Advanced Materials Research (Volumes 287-290)
• Pages: 2892-2897
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.287-290.2892
• Online since: July 2011
• Authors: Chang Hai Ru, Wei Da Li, Ming Qiang Pan
• Keywords: Hysteresis, Linear Mapping, Microscopic Polarization, Piezoelectric Actuator

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