A Dynamic Hysteresis Model for THUNDER Transducers

Brian L. Ball, Ralph C. Smith, Zoubeida Ounaies

Research output: Contribution to journalConference articlepeer-review

7 Scopus citations


This paper summarizes a nonlinear model which quantifies the displacements generated in THUNDER actuators in response to applied voltages for a variety of boundary conditions and exogenous loads. A PDE model is constructed using Newtonian principles to quantify the displacements in the actuator due to field inputs to the piezoceramic patch. A free energy based hysteretic stress-strain relation is employed to model hysteresis inherent to the PZT. A finite element method and Crank-Nicholson scheme are developed to discretize the model; properties of the model are illustrated through comparison with experimental data.

Original languageEnglish (US)
Pages (from-to)100-111
Number of pages12
JournalProceedings of SPIE - The International Society for Optical Engineering
StatePublished - 2003
EventPROCEEDINGS OF SPIE SPIE - The International Society for Optical Engineering: Smart Structures and Materials 2003 Modeling, Signal Processing, and Control - San Diego, CA, United States
Duration: Mar 3 2003Mar 6 2003

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering


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