An electro-mechanically coupled 1-D polycrystalline model for piezoelectric stack actuators

Alexander York; Stefan Seelecke

doi:10.1117/12.816242

31 March 2009 An electro-mechanically coupled 1-D polycrystalline model for piezoelectric stack actuators

Alexander York, Stefan Seelecke

Proceedings Volume 7289, Behavior and Mechanics of Multifunctional Materials and Composites 2009; 728903 (2009) https://doi.org/10.1117/12.816242
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2009, San Diego, California, United States

Abstract

Piezoelectric actuators used in nano-positioning devices exhibit highly non-linear behavior and strong hysteresis, which limits the efficiency of conventional non-model-based controllers. This paper presents a free energy model based on the theory of thermal activation for single crystal piezoceramics that couples mechanical stress and electric field. It is capable of predicting the hysteretic behavior along with the frequency-dependence present in these materials. The model is then coupled with a spring as a first step toward a 1-D model of a commercial nano-positioning stage and is the basis for future control applications. Quasi-static simulations are conducted to illustrate the effects of spring loading on the actuator behavior. A first step towards adapting the model for polycrystalline material is also presented. Simulations are shown to predict the rate-dependent strain response of a spring loaded polycrystalline stack actuator for various pre-stresses.

Citation Download Citation

Alexander York and Stefan Seelecke "An electro-mechanically coupled 1-D polycrystalline model for piezoelectric stack actuators", Proc. SPIE 7289, Behavior and Mechanics of Multifunctional Materials and Composites 2009, 728903 (31 March 2009); https://doi.org/10.1117/12.816242

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