Extended Bond Graph Representation of the Traction Problem in Linear Elastodynamics

[+] Author and Article Information
M. E. Ingrim

Georgia Institute of Technology, Atlanta, GA 30332

G. Y. Masada

University of Texas at Austin, Austin, Texas 78712

J. Dyn. Sys., Meas., Control 113(1), 118-121 (Mar 01, 1991) (4 pages) doi:10.1115/1.2896335 History: Received March 17, 1989; Revised December 01, 1989; Online March 17, 2008


To illustrate the use of the extended bond graph notation, a reticulation is developed for a conjugate variable approximation of the traction problem in linear elastodynamics. This reticulation is general in the sense that all vector and tensor quantities are expressed using direct notation; that is, no specific coordinate system is chosen a priori. In addition, the only limitation placed upon the elasticity tensor C(X) is that it be symmetric. This allows homogeneous and inhomogeneous isotropic, orthotropic, etc., linearly elastic bodies to be modeled using these results. The conjugate approximations used here are entirely compatible with Galerkin based finite element methods. Consequently, this extended bond graph reticulation allows well-developed approximation techniques in solid mechanics to be directly incorporated into bond graph based system models.

Copyright © 1991 by The American Society of Mechanical Engineers
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