ASA 125th Meeting Ottawa 1993 May

2pEA3. A finite element compatible bond graph modeling approach for transducers applied to the piezoelectric thickness vibrator.

Won-Kyu Moon

Ilene J. Busch-Vishniac

Dept. of Mech. Eng., Univ. of Texas, Austin, TX 78712

A bond graph modeling method suitable for transducers and compatible with finite element formulations is developed. This formulation leads to a new definition of the generalized displacements for a continuous system. The newly defined coordinates are easily interpreted physically and easily used in analysis of the system performance. The method is demonstrated for a piezoelectric thickness vibrator. Compared to the Mason equivalent circuit models, the bond graph modeling method presented offers the primary advantage of physical realizability. Compared to circuit models based on standard discrete electrical elements, the main advantage of the bond graph modeling method is a greater physical accuracy (which is the direct result of using multiport energic elements).