Free Vibration Characteristics Of Edge Cracked Functionally Graded Beams By Using Finite Element Method

  ijett-book-cover  International Journal of Engineering Trends and Technology (IJETT)          
© 2013 by IJETT Journal
Volume-4 Issue-10
Year of Publication : 2013
Authors : Dr. Şeref Doğuşcan AKBAŞ


Dr. ?eref Do?u?can AKBA?. "Free Vibration Characteristics Of Edge Cracked Functionally Graded Beams By Using Finite Element Method". International Journal of Engineering Trends and Technology (IJETT). V4(10):4590-4597 Oct 2013. ISSN:2231-5381. published by seventh sense research group.


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.


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Open edge crack, Free vibration, Functionally graded materials, Finite element analysis