Hamilton's principle for linear piezoelectric media
- 1 January 1967
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in Proceedings of the IEEE
- Vol. 55 (8) , 1523-1524
- https://doi.org/10.1109/proc.1967.5887
Abstract
Hamilton's principle for the linear piezoelectric continuum is presented and is shown to yield the well-established differential equations and boundary conditions of the linear theory. The Lagrange density for the piezoelectric case is shown to be the kinetic energy minus the electric enthalpy, rather than the kinetic energy minus the internal energy as in the purely elastic case. The possible application of the variational principle in obtaining approximate solutions to both homogeneous and inhomogeneous piezoelectric boundary value problems is discussed.Keywords
This publication has 6 references indexed in Scilit:
- Forced Vibrations of Piezoelectric Crystal PlatesPublished by Springer Nature ,1989
- Variational Method for Electroelastic Vibration AnalysisIEEE Transactions on Sonics and Ultrasonics, 1967
- Wave Propagation in an Infinite Piezoelectric PlateThe Journal of the Acoustical Society of America, 1963
- The Numerical Treatment of Differential EquationsPublished by Springer Nature ,1960
- Contour Vibrations of Thin Rectangular PlatesThe Journal of the Acoustical Society of America, 1958
- The Variational Principles of MechanicsPublished by University of Toronto Press Inc. (UTPress) ,1949