Ilene J. Busch-Vishniac
Mech. Eng. Dept., Univ. of Texas at Austin, Austin, TX 78712
A new bond graph model for conduction heat transfer is developed and applied to consideration of thermal energy balance in the piezoelectric thickness vibrator. In formulation of the model, the mechanical and electrical effects are included, so it can be applied directly to the temperature-dependent thickness vibrator. Although the analysis is applied to the one-dimensional case only, the method can be used for general heat conduction problems. For the purpose of evaluation of the new method, the model predictions for one-dimensional heat conduction excluding other variable effects are compared with the results of the analytic solutions in simple cases. The simulation illustrates the validity and the accuracy of the model.