Table of Contents
ISRN Optics
Volume 2012 (2012), Article ID 243672, 5 pages
http://dx.doi.org/10.5402/2012/243672
Research Article

Comparative Analysis of Free Optical Vibration of Lamination Composite Optical Beams Using the Boubaker Polynomials Expansion Scheme and the Differential Quadrature Method

1Department of Mathematics, Faculty of Science and Letters, Pamukkale University, 20020 Denizli, Turkey
2Institut Supérieur des Etudes Technologiques de Radés, 2098 Tunis, Tunisia
3Equipe de Physique des Dispositifs à Semiconducteurs, Faculté des Sciences de Tunis, Campus Universitaire, 2092 Tunis, Tunisia
4Department of Mechanical Engineering, Pamukkale University, 20017 Denizli, Turkey
5Department of Software Engineering, Faculty of Engineering, Gümüşhane University, 29100 Gümüşhane, Turkey
6Department of Geomatic Engineering, Faculty of Engineering, Gümüşhane University, 29100 Gümüşhane, Turkey
7Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan

Received 22 November 2011; Accepted 4 January 2012

Academic Editor: D. H. Woo

Copyright © 2012 Uğur Yücel et al. 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.

Abstract

The effects of stacking sequences of composite laminated optical beams on free vibration frequencies are investigated using two methods: the Boubaker Polynomials Expansion Scheme (pbes) and the Differential Quadrature Method (dqm). In the last decades, these two techniques have been separately performed for obtaining accurate numerical solutions to several initial boundary value problems (Vo et al. 2010, Li et al. 2008, Chen 2003, Hu et al. 2008, Karami et al. 2003, Malekzadeh et al. 2004, Khare et al. 2004, Della and Shu 2005, Ramtekkar et al. 2002, Adam 2003). Conjointly yielded results are compared and discussed.