Affiliations: [a] Department of Civil Engineering, Zhejiang University,
Hangzhou, P. R. China | [b] Department of Engineering Mechanics, Zhejiang
University, Hangzhou, P. R. China | [c] Department of Engineering Mechanics, University of
Nebraska, Lincoln, NE, USA
Correspondence:
[*]
Corresponding author: J.S. Yang, Department of Engineering
Mechanics, University of Nebraska, Lincoln, NE 68588-0526, USA. E-mail:
jyang1@unl.edu
Abstract: We perform a theoretical analysis on electrically forced, coupled
thickness-shear and flexural vibrations of rectangular piezoelectric plates of
monoclinic crystals. Mindlin's first-order theory for piezoelectric plates is
used, simplified by the flexure-twist approximation by Mindlin and Spencer. Two
types of boundary conditions are considered. Trigonometric series solutions are
obtained. The motional capacitance of the plates and its frequency dependence
under a time-harmonic driving voltage, an important property when the plates
are used as piezoelectric resonators, are calculated and examined from the
series solutions for quartz and langasite plates.
