A Dynamic Analysis of Piezoelectric Strained Elements
Abstract
In the fourth part of study, following the third, the review article concerned with the dynamic applications of piezoelectric crystals is checked with emphasis on its editing and styling, and the article with its 233 references is published. Then, an updated review of the open literature is prepared which deals with waves and vibrations in piezoelectric elements and especially in those elements subjected to residual stresses and strains. This survey article summarizes the advances and trends on the subject, and it will be written up for publication. To reproduce some or all the fundamental equations of nonlinear piezoelectricity in variational form, certain integral and differential types of variational principles are deduced from Hamilton's principle by augmenting it through the dislocation potentials and Lagrange undetermined multipliers. This work is checked, minor revisions are made, and then it is accepted for publication. The variational principles lead, as their Euler-Lagrange equations, to the fundamental equations of electroelastic solid with small piezoelectric coupling and those of piezoelectric solid subjected to initial stress. Similar variational principles are formulated for a thermopiezoelectric solid with or without initial stress. The generalized variational principles are extracted from the principle of conservation of energy by augmenting it again through Friedrichs's transformation.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1988
- Accession Number
- ADA196079
Entities
People
- M. C. Dokmeci
Organizations
- Istanbul Technical University