Top

Meccanica

Published in:

01-12-2014

Application of the differential quadrature method to free vibration of viscoelastic thin plate with linear thickness variation

Authors: Yin Feng Zhou, Zhong Min Wang

Published in: Meccanica | Issue 12/2014

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

The differential quadrature method has been applied to investigate vibrations of viscoelastic thin plate with variable thickness. Firstly, the governing equations are derived in terms of the thin-plate theory and the two-dimensional viscoelastic differential constitutive relation. Then, the convergence of the method is demonstrated based on the differential equation of uniform thickness elastic square plate, which is reduced from the differential equation of viscoelastic plate with varying thickness. Lastly, the effects of aspect ratio, thickness ratio and dimensionless delay time on the vibrations of the linear thickness viscoelastic plate with different boundary conditions have been studied.

previous article Nonlinear flutter behavior of a plate with motion constraints in subsonic flow

next article Theoretical derivation of the conservation equations for single phase flow in porous media: a continuum approach

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Aksu G, Al-Kaabi SA (1987) Free vibration analysis of Mindlin plates with linearly varying thickness. J Sound Vib 119:189–205CrossRefADS

Mizusawa T (1993) Vibration of rectangular Mindlin plates with tapered thickness by the spline strip method. Comput Struct 46:451–463CrossRefADS

Sakiyama T, Huang M (1998) Free vibration analysis of rectangular plates with variable thickness. J Sound Vib 216:379–397CrossRefADS

Mizusawa T, Kondo Y (2001) Application of the spline element method to analyze vibration of skew Mindlin plates with varying thickness in one direction. J Sound Vib 241:485–501CrossRefADS

Zenkour AM, Mashat DS (2009) Exact solutions for variable-thickness inhomogeneous elastic plates under various boundary conditions. Meccanica 44:433–447MathSciNetCrossRefMATH

Zhou YF, Wang ZM (2008) Vibrations of axially moving viscoelastic plate with parabolically varying thickness. J Sound Vib 316:198–210CrossRefADS

Zhou YF, Wang ZM (2009) Dynamic behaviors of axially moving viscoelastic plate with varying thickness. Chin J Mech Eng 22(2):276–281CrossRef

Flügge W (1975) Viscoelasticity, 2nd edn. Springer, BerlinCrossRefMATH

Malekzadeh P, Karami G (2004) Vibration of non-uniform thick plates on elastic foundation by differential quadrature method. Eng Struct 26:1473–1482CrossRef

10.

Fu YM, Chen Y, Zhang P (2013) Thermal buckling analysis of functionally graded beam with longitudinal crack. Meccanica 48:1227–1237MathSciNetCrossRefMATH

11.

Gorman DJ (1982) Free vibration analysis of rectangular plates. Elsevier North Holland Inc, New YorkMATH

Title: Application of the differential quadrature method to free vibration of viscoelastic thin plate with linear thickness variation
Authors: Yin Feng Zhou
Zhong Min Wang
Publication date: 01-12-2014
Publisher: Springer Netherlands
Published in: Meccanica / Issue 12/2014
Print ISSN: 0025-6455
Electronic ISSN: 1572-9648
DOI: https://doi.org/10.1007/s11012-014-0043-6

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Other articles of this Issue 12/2014

Response of frictional contact problems in thermo-rheologically complex structures

Elastic analysis of thick-walled pressurized spherical vessels coated with functionally graded materials

Free linear vibrations of thin axisymmetric parabolic shells

Theoretical derivation of the conservation equations for single phase flow in porous media: a continuum approach

Nonlinear flutter behavior of a plate with motion constraints in subsonic flow

Surface tension-induced stress concentration around a nanosized hole of arbitrary shape in an elastic half-plane

Premium Partners