Perturbation analysis of frequency shifts in an electroelastic body under biasing fields

Author

Yang, Jiashi ; Kosinski, John A.

Author_Institution

Key Lab. for Adv. Mater. & Rheological Properties, Xiangtan Univ.

Volume

53

Issue

12

fYear

2006

fDate

12/1/2006 12:00:00 AM

Firstpage

2442

Lastpage

2449

Abstract

We analyze the eigenvalue problem associated with small-amplitude vibrations superposed on finite-biasing fields in an electroelastic body. The widely used first-order perturbation integral by Tiersten is generalized in two different ways: a second-order perturbation analysis is given when the biasing fields are not infinitesimal and their second order effects need to be considered; a first-order perturbation analysis is given when an eigenvalue is associated with more than one eigenvector (a degenerate eigenvalue)

Keywords

acoustoelectric effects; eigenvalues and eigenfunctions; perturbation techniques; piezoelectricity; vibrations; eigenvalue problem; eigenvector; electroelastic body; finite biasing field; first-order perturbation integral; frequency shift; second-order perturbation analysis; small-amplitude vibration; Acceleration; Acoustic waves; Crystalline materials; Eigenvalues and eigenfunctions; Equations; Laboratories; Piezoelectric materials; Resonant frequency; Surface acoustic waves; Tensile stress;

fLanguage

English

Journal_Title

Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on

Publisher

ieee

ISSN

0885-3010

Type

jour

DOI

10.1109/TUFFC.2006.192

Filename

4037280