Energy analysis of a piezoelectric body under nonuniform deformation
- 1 May 2003
- journal article
- research article
- Published by Acoustical Society of America (ASA) in The Journal of the Acoustical Society of America
- Vol. 113 (5), 2638-2646
- https://doi.org/10.1121/1.1562648
Abstract
One of the most powerful and clear methods for solving electromechanical transducer problems is the energy method based on the use of the Euler–Lagrange equations. The general expression is developed in a form convenient for applying the energy method to the calculation of the internal energy of a piezoelectric body under nonuniform deformation. The electrical and mechanical variables in this expression are separable under certain conditions and the underlying physics is illustrated with particular examples of bars made of piezoelectric ceramic for the case of transverse and axial polarization. In the case that the electrical and mechanical variables are not separable, the contribution of the mutual energy term to the total internal energy is expressed analytically.Keywords
This publication has 1 reference indexed in Scilit:
- Lagrange equations applied to flexural mode transducersThe Journal of the Acoustical Society of America, 1975