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Natural frequencies of a functionally graded cracked beam using the differential quadrature method
Faculty
Science
Year:
2009
Type of Publication:
Article
Pages:
2307-2316
Authors:
Matbuly, M. S, Ragb, Ola, Nassar, M
DOI:
10.1016/j.amc.2009.08.026
Journal:
APPLIED MATHEMATICS AND COMPUTATION ELSEVIER SCIENCE INC
Volume:
215
Research Area:
Mathematics
ISSN
ISI:000270972400035
Keywords :
Crack, Vibration, Beam, Pasternak foundation, Line spring model, Differential quadrature method
Abstract:
The present work is concerned with the free vibration analysis of an elastically supported cracked beam. The beam is made of a functionally graded material and rested on a Winkler-Pasternak foundation. The line spring model is employed to formulate the problem. The method of differential quadrature is applied to solve it. The obtained results agreed with the previous similar ones. Further, a parametric study is introduced to investigate the effects of the geometric and elastic characteristics of the problem on the values of natural frequencies and mode shape functions. (C) 2009 Elsevier Inc. All rights reserved.
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