Derivation of the Governing Differential Equation of Vibrating Host Plate with Two Piezoelectric Patches
Abstract
One of the most difficult challenges facing researchers these days is making industrial
applications (e.g. engines, automobiles, and aircraft) run on renewable energy and
reducing the use of fuel as much as possible. One approach to achieve this goal is the use
of smart materials such as piezoelectric materials which produce mechanical stress or
strain under the application of an electrical field. Vice versa, if this material is subjected
to a mechanical strain, an electrical field will result. Piezoelectric materials are used
as sensors or actuators for the structural control of smart structures. In this paper, a
mathematical model represented by the governing differential equation for a host plate
containing two piezoelectric patches has been developed to predict the displacement of
a plate excited by the piezoelectric patches and transverse loads.