Free vibrations of an electroelastic body under biasing fields

Author

Yang, Jiashi

Author_Institution

Dept. of Eng. Mech., Nebraska Univ., Lincoln, NE, USA

Volume

52

Issue

3

fYear

2005

fDate

3/1/2005 12:00:00 AM

Firstpage

358

Lastpage

364

Abstract

We present a systematic analysis of the eigenvalue problem associated with free, small-amplitude vibrations superposed on finite biasing fields in an electroelastic body. An abstract formulation is introduced. The operators in the abstract formulation are shown to be self-adjoint, from which a series of fundamental properties of resonant frequencies and modes are proved concisely. A variational formulation and a perturbation analysis of the eigenvalue problem also are given based on the abstract formulation.

Keywords

eigenvalues and eigenfunctions; mathematical operators; perturbation theory; variational techniques; vibrations; eigenvalue problem; electroelastic body; finite biasing fields; free vibrations; perturbation analysis; resonant frequencies; resonant modes; self-adjoint operators; small-amplitude vibrations; variational formulation; Acoustic waves; Eigenvalues and eigenfunctions; Frequency control; Piezoelectric materials; Piezoelectricity; Resonant frequency; Stability analysis; Surface acoustic waves; Tensile stress; Timing;

fLanguage

English

Journal_Title

Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on

Publisher

ieee

ISSN

0885-3010

Type

jour

DOI

10.1109/TUFFC.2005.1417257

Filename

1417257