Finite element analysis of the piezoelectric topographic waveguide
Abstract
The finite element method has been applied to the solution of electroelastic wave propagation in totally anisotropic piezoelectric media. This approximate method of numerical analysis involved the discretization of the body into triangular elements small enough to allow the assumption of a linear variation of the elastic displacements and electric potential within the element. A variational principle was then employed which lead to a system of equilibrium equations for the unknowns. Hamilton's principle was then applied to the sum contribution of all the elements to yield the matrix eigenvalue problem for the eigenfrequencies of the system. The triangular topographic waveguide with height-to-width ratio of 0.8 was analyzed in view of its anticipated low dispersion and strong guidance characteristics.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- 1974
- Bibcode:
- 1974PhDT........16O
- Keywords:
-
- Finite Element Method;
- Wave Propagation;
- Waveguides;
- Approximation;
- Elastic Media;
- Electric Potential;
- Electrostatic Waves;
- Piezoelectricity;
- Topography;
- Communications and Radar