DocumentCode
1728569
Title
Analytical study of anisimkin´s (quasilongitudinal) modes in piezoelectric plate
Author
Onoe, Morio ; Kaga, Shigetaka
Author_Institution
Univ. of Tokyo, Tokyo, Japan
fYear
2010
Firstpage
584
Lastpage
589
Abstract
This paper presents a mathematical analysis of quasilongitudinal (QL) modes in piezoelectric quartz plate, which was found numerically and verified experimentally by Anisimkin in 2004. A new matrix formulation of analysis is used to compare pure elastic, piezoelectrically stiffened (with electrodes) and piezoelectrically unstiffened (without electrodes) cases. An approximate formulas to yield “allowed bands” for QL-modes is obtained. The formulas also covers newly found quasishear (QS) modes. Refined profiles of displacements through the plate thickness are presented to solve a mystery of little jumps in their profiles of longitudinal displacement.
Keywords
acoustic wave propagation; mathematical analysis; matrix algebra; QL-modes; anisimkin modes; longitudinal displacement; mathematical analysis; matrix formulation; piezoelectric quartz plate; plate thickness; quasilongitudinal mode; quasishear modes; Boundary conditions; Dispersion; Electrodes; Equations; Manganese; Materials; Mathematical model;
fLanguage
English
Publisher
ieee
Conference_Titel
Frequency Control Symposium (FCS), 2010 IEEE International
Conference_Location
Newport Beach, CA
ISSN
1075-6787
Print_ISBN
978-1-4244-6399-2
Type
conf
DOI
10.1109/FREQ.2010.5556262
Filename
5556262
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