A new 2-D model of a thin annular disk using a modified assumption

Author

Qian, Yichen ; Harris, Nick R. ; Glynne-Jones, Peter ; Beeby, Steve P.

Author_Institution

Sch. of Electron. & Comput. Sci., Univ. of Southampton, Southampton, UK

Volume

57

Issue

2

fYear

2010

fDate

2/1/2010 12:00:00 AM

Firstpage

421

Lastpage

426

Abstract

The work describes an improved 2-D model for a thin annulus by using a modified assumption with regard to coupled vibration. With this approach, the impedance spectrum and displacements due to radial modes, both in radial and thickness direction of a thin ring, are obtained. Bending displacement is investigated by finite element analysis (FEA) and matches our model. The bending in the thickness direction is coupled to radial modes and shows several node circles in the high radial overtone frequency range. The model is validated by FEA with excellent agreement between the new theory and FEA results.

Keywords

bending; discs (structures); electric impedance; finite element analysis; piezoelectric transducers; rings (structures); vibrations; 2D model; FEA; bending displacement; coupled vibration; finite element analysis; impedance spectrum; piezoelectric ring transducer; radial modes; radial overtone frequency; thickness direction; thin annular disk; thin ring transducer; Couplings; Finite element methods; Frequency; Impedance;

fLanguage

English

Journal_Title

Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on

Publisher

ieee

ISSN

0885-3010

Type

jour

DOI

10.1109/TUFFC.2010.1422

Filename

5417201