Free Vibration Characteristics Of Edge Cracked Functionally Graded Beams By Using Finite Element Method
Journal Title: INTERNATIONAL JOURNAL OF ENGINEERING TRENDS AND TECHNOLOGY - Year 2013, Vol 4, Issue 10
Abstract
This paper presents free vibration analysis of an edge cracked functionally graded cantilever beam. The differential equations of motion are obtained by using Hamilton’s principle. The considered problem is investigated within the Euler-Bernoulli beam theory by using finite element method. The cracked beam is modeled as an assembly of two sub-beams connected through a massless elastic rotational spring. Material properties of the beam change in the thickness direction according to exponential distributions. In order to establish the accuracy of the present formulation and results, the natural frequencies are obtained, and compared with the published results available in the literature. Good agreement is observed. In the study, the effects of the location of crack, the depth of the crack and different material distributions on the natural frequencies and the mode shapes of the cracked functionally graded beams are investigated in detail.
Authors and Affiliations
Dr. Şeref Doğuşcan AKBAŞ
Keywords
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- EP ID EP151804
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