Extended Bond Graph Reticulation of Piezoelectric Continua

[+] Author and Article Information
Fu-Shin Lee

Department of Mechanical Engineering, Hua Fan College of Humanities and Technology, Taipei, Taiwan

Tess J. Moon, Glenn Y. Masada

Department of Mechanical Engineering, University of Texas at Austin, Austin, TX 78712

J. Dyn. Sys., Meas., Control 117(1), 1-7 (Mar 01, 1995) (7 pages) doi:10.1115/1.2798518 History: Received June 14, 1992; Online December 03, 2007


Extended Bond Graph (EBG) reticulations for general and linear piezoelectric continua are developed in this paper. The EBG formulation is especially advantageous for modeling the distributed coupled electromechanical effects of these materials and for combining this representation with other discrete models. The electromechanical coupling effects are represented by a multiport C-element for the general piezoelectric material. For linear constitutive properties, the coupling effects are represented by two multiport C-elements; one for the strain energy and the other for the capacitance storage, and a transformer that converts the power flows between the two energy domains. Details of the developments of the general formulation and of the specific models are provided. This work represents the first application of EBGs to electric fields.

Copyright © 1995 by The American Society of Mechanical Engineers
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