Dynamic equations for a fully anisotropic piezoelectric rectangular plate
Journal article, 2015

A hierarchy of dynamic plate equations based on the three dimensional piezoelectric theory is derived for a fully anisotropic piezoelectric rectangular plate. Using power series expansions results in sets of equations that may be truncated to arbitrary order, where each order set is hyperbolic, variationally consistent and asymptotically correct (to all studied orders). Numerical examples for eigenfrequencies and plots on mode shapes, electric potential and stress distributions curves are presented for orthotropic plate structures. The results illustrate that the present approach renders benchmark solutions provided higher order truncations are used, and act as engineering plate equations using low order truncation.

Power series

Laminate

Asymptotic

Eigenfrequenciy

Piezoelectric plate

Orthotropic

Author

Karl Mauritsson

Dynamics

Peter Folkow

Dynamics

Computers and Structures

0045-7949 (ISSN)

Vol. 153 112-125 5360

Subject Categories

Applied Mechanics

Areas of Advance

Materials Science

DOI

10.1016/j.compstruc.2015.02.023

More information

Created

10/7/2017