Abstract
In this paper, an extended bond graph method is used to analyze the vibration of a hyperelastic plate. The development of the two-dimensional model is outlined in detail using the theory of conjugate projection in continuum mechanics. The natural frequencies computed from the bond graph analysis are compared to those from a finite element analysis and show excellent agreement in the fundamental mode. The utility of the bond graph model is illustrated by the ease of adding damping elements to the undamped plate. The extended bond graph method allows for wide ranges of continuous media to be reticulated in bond graph form.
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