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.
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May 05 2003
Energy analysis of a piezoelectric body under nonuniform deformation
Boris Aronov
Boris Aronov
Acoustics Research Laboratory, Department of Electrical and Computer Engineering, University of Massachusetts at Dartmouth, 285 Old Westport Road, North Dartmouth, Massachusetts 02747-2300
BTECH Acoustics, 1445 Wampanoag Trail, Suite 115, East Providence, Rhode Island 02915
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J. Acoust. Soc. Am. 113, 2638–2646 (2003)
Article history
Received:
May 01 2002
Accepted:
January 30 2003
Citation
Boris Aronov; Energy analysis of a piezoelectric body under nonuniform deformation. J. Acoust. Soc. Am. 1 May 2003; 113 (5): 2638–2646. https://doi.org/10.1121/1.1562648
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