Next Article in Journal
Sobolev’s Method for Hammerstein Integral Equations
Previous Article in Journal
A New Perturbation Algorithm With Better Convergence Properties: Multiple Scales Lindstedt Poincare Method
Article Menu

Article Versions

Export Article

Open AccessArticle
Math. Comput. Appl. 2007, 12(3), 151-160; doi:10.3390/mca12030151

Discrete Singular Convolution for Free Vibration Analysis of Anisotropic Rectangular Plates

Akdeniz University, Faculty of Engineering, Civil Engineering Department, Division of Mechanics, Antalya, Turkey
*
Author to whom correspondence should be addressed.
Published: 1 December 2007
Download PDF [2976 KB, uploaded 7 April 2016]

Abstract

The focus in this study is on the application of the discrete singular convolution (DSC) method to the differential equation, which governs the free vibration of anisotropic plates, Regularized Shannon's delta (RSD) kernel is selected as singular convolution to illustrate the present algorithm. In the present study, free vibration analysis of rectangular composite plates via discrete singular convolution has been presented. In the proposed approach, the derivatives in both the governing equations and the boundary conditions are discretized by the method of DSC. The obtained results are compared with those of other numerical methods available in the literature. Numerical calculations showed that accurate results can be achieved.
Keywords: Discrete singular convolution; numerical methods; anisotropic plate; free vibration Discrete singular convolution; numerical methods; anisotropic plate; free vibration
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Civalek, Ö.; Kiracioglu, O. Discrete Singular Convolution for Free Vibration Analysis of Anisotropic Rectangular Plates. Math. Comput. Appl. 2007, 12, 151-160.

Show more citation formats Show less citations formats

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top