Shock and Vibration

Shock and Vibration / 2007 / Article

Open Access

Volume 14 |Article ID 307575 | https://doi.org/10.1155/2007/307575

R. Kırışık, Ş. Yüksel, "Free Vibration Analysis of a Rectangular Plate with Kelvin Type Boundary Conditions", Shock and Vibration, vol. 14, Article ID 307575, 11 pages, 2007. https://doi.org/10.1155/2007/307575

Free Vibration Analysis of a Rectangular Plate with Kelvin Type Boundary Conditions

Received06 Aug 2006
Revised16 Oct 2006

Abstract

The transverse vibrations of a rectangular plate with the Kelvin type boundary conditions at four corners are investigated. The plate is modeled as being attached to four lumped spring-damper systems at the corners. An analytical procedure is proposed based on the modal analysis. The completely free case of the plate is first studied. The expressions for the eigenfrequencies and eigenfunctions of the plate are obtained by utilizing the separation of variables. Then, the case in which the stiffness and the viscous damping as external forces acting at the corners of the plate is studied. Following the modal analysis procedure, the general solution for the equation of motion of the rectangular plate is derived. Some numerical results are presented.

Copyright © 2007 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


More related articles

 PDF Download Citation Citation
 Order printed copiesOrder
Views88
Downloads2996
Citations

We are committed to sharing findings related to COVID-19 as quickly as possible. We will be providing unlimited waivers of publication charges for accepted research articles as well as case reports and case series related to COVID-19. Review articles are excluded from this waiver policy. Sign up here as a reviewer to help fast-track new submissions.