Analytical Solution for the Free Vibration Analysis of Delaminated Timoshenko Beams. (18th January 2014)

• Record Type: Journal Article
• Authors: Jafari-Talookolaei, Ramazan-Ali; Abedi, Maryam
• Other Names: Nikas G. Academic Editor.; Vannucci P. Academic Editor.
• Is Part Of: TheScientificWorldjournal. Volume 2014(2014)
• Publication Date: 2014-01-18
• Subjects: Science -- Periodicals; Technology -- Periodicals; Medicine -- Periodicals; 505
• DOI: 10.1155/2014/280256
• Languages: English
• ISSNs: 2356-6140

Abstract

Abstract : This work presents a method to find the exact solutions for the free vibration analysis of a delaminated beam based on the Timoshenko type with different boundary conditions. The solutions are obtained by the method of Lagrange multipliers in which the free vibration problem is posed as a constrained variational problem. The Legendre orthogonal polynomials are used as the beam eigenfunctions. Natural frequencies and mode shapes of various Timoshenko beams are presented to demonstrate the efficiency of the methodology.