Vibration and stability of rotating polar orthotropic sandwich annular plates with a viscoelastic core layer

Yu Ren Chen, Lien-Wen Chen

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

A sandwich annular plate is built with two face layers of polar orthotropic material and a viscoelastic core layer. The non-axisymmetric vibration and stability problem of the rotating sandwich plate are analyzed by using the finite element method. By employing the discrete layer annular element and Hamilton's principle, the finite element equations of motion that consider the effects of transverse shear and rotary inertia are derived. The viscoelastic material in the core layer is assumed to be incompressible, and its extensional and shear moduli are described by complex quantities. Complex-eigenvalued problems are then solved. The effects of various properties, such as orthotropic properties of face layers, and the viscoelastic core layer stiffness and thickness are discussed. Numerical results show that the larger modulus ratio and higher rotational speed tend to increase the nature frequency of the sandwich annular plate system. In addition, the critical speeds decrease while increasing the thickness of the viscoelastic core layer.

Original languageEnglish
Pages (from-to)45-57
Number of pages13
JournalComposite Structures
Volume78
Issue number1
DOIs
Publication statusPublished - 2007 Mar 1

Fingerprint

Equations of motion
Elastic moduli
Stiffness
Finite element method

All Science Journal Classification (ASJC) codes

  • Ceramics and Composites
  • Civil and Structural Engineering

Cite this

@article{8ec166cd11884b66bd3facb89fab7a67,
title = "Vibration and stability of rotating polar orthotropic sandwich annular plates with a viscoelastic core layer",
abstract = "A sandwich annular plate is built with two face layers of polar orthotropic material and a viscoelastic core layer. The non-axisymmetric vibration and stability problem of the rotating sandwich plate are analyzed by using the finite element method. By employing the discrete layer annular element and Hamilton's principle, the finite element equations of motion that consider the effects of transverse shear and rotary inertia are derived. The viscoelastic material in the core layer is assumed to be incompressible, and its extensional and shear moduli are described by complex quantities. Complex-eigenvalued problems are then solved. The effects of various properties, such as orthotropic properties of face layers, and the viscoelastic core layer stiffness and thickness are discussed. Numerical results show that the larger modulus ratio and higher rotational speed tend to increase the nature frequency of the sandwich annular plate system. In addition, the critical speeds decrease while increasing the thickness of the viscoelastic core layer.",
author = "Chen, {Yu Ren} and Lien-Wen Chen",
year = "2007",
month = "3",
day = "1",
doi = "10.1016/j.compstruct.2005.08.009",
language = "English",
volume = "78",
pages = "45--57",
journal = "Composite Structures",
issn = "0263-8223",
publisher = "Elsevier BV",
number = "1",

}

Vibration and stability of rotating polar orthotropic sandwich annular plates with a viscoelastic core layer. / Chen, Yu Ren; Chen, Lien-Wen.

In: Composite Structures, Vol. 78, No. 1, 01.03.2007, p. 45-57.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Vibration and stability of rotating polar orthotropic sandwich annular plates with a viscoelastic core layer

AU - Chen, Yu Ren

AU - Chen, Lien-Wen

PY - 2007/3/1

Y1 - 2007/3/1

N2 - A sandwich annular plate is built with two face layers of polar orthotropic material and a viscoelastic core layer. The non-axisymmetric vibration and stability problem of the rotating sandwich plate are analyzed by using the finite element method. By employing the discrete layer annular element and Hamilton's principle, the finite element equations of motion that consider the effects of transverse shear and rotary inertia are derived. The viscoelastic material in the core layer is assumed to be incompressible, and its extensional and shear moduli are described by complex quantities. Complex-eigenvalued problems are then solved. The effects of various properties, such as orthotropic properties of face layers, and the viscoelastic core layer stiffness and thickness are discussed. Numerical results show that the larger modulus ratio and higher rotational speed tend to increase the nature frequency of the sandwich annular plate system. In addition, the critical speeds decrease while increasing the thickness of the viscoelastic core layer.

AB - A sandwich annular plate is built with two face layers of polar orthotropic material and a viscoelastic core layer. The non-axisymmetric vibration and stability problem of the rotating sandwich plate are analyzed by using the finite element method. By employing the discrete layer annular element and Hamilton's principle, the finite element equations of motion that consider the effects of transverse shear and rotary inertia are derived. The viscoelastic material in the core layer is assumed to be incompressible, and its extensional and shear moduli are described by complex quantities. Complex-eigenvalued problems are then solved. The effects of various properties, such as orthotropic properties of face layers, and the viscoelastic core layer stiffness and thickness are discussed. Numerical results show that the larger modulus ratio and higher rotational speed tend to increase the nature frequency of the sandwich annular plate system. In addition, the critical speeds decrease while increasing the thickness of the viscoelastic core layer.

UR - http://www.scopus.com/inward/record.url?scp=33751399742&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33751399742&partnerID=8YFLogxK

U2 - 10.1016/j.compstruct.2005.08.009

DO - 10.1016/j.compstruct.2005.08.009

M3 - Article

VL - 78

SP - 45

EP - 57

JO - Composite Structures

JF - Composite Structures

SN - 0263-8223

IS - 1

ER -