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Free vibration analysis of a composite beam with single delamination- An improved free and constrained model

In this paper, an analytical method is proposed for calculation of natural frequencies of a delaminated composite beam from both free and constrained mode frequencies. In previous studies, the frequencies of a delaminated composite beam were computed with assumption of occurring open or close delamination during the vibration. | Free vibration analysis of a composite beam with single delamination- An improved free and constrained model Engineering Solid Mechanics 2 2014 313-320 Contents lists available at GrowingScience Engineering Solid Mechanics homepage www.GrowingScience.com esm Free vibration analysis of a composite beam with single delamination- An improved free and constrained model M. Shariati Niaa K. Torabib and M. Heidari-Raranic a Ph.D. Student University of Kashan Kashan 8731751167 Iran b Assosiate Professor University of Kashan Kashan 8731751167 Iran c Assistant Professor Department of Mechanical Engineering Faculty of Engineering University of Isfahan Isfahan 8174673441 Iran ARTICLE INFO ABSTRACT Article history In this paper an analytical method is proposed for calculation of natural frequencies of a Received June 6 2014 delaminated composite beam from both free and constrained mode frequencies. In previous Accepted 24 July 2014 studies the frequencies of a delaminated composite beam were computed with assumption of Available online occurring open or close delamination during the vibration. According to this assumption two 24 July 2014 Keywords separated modes i.e. free mode and constrained mode are occurred in vibration of the Free vibration delaminated beam. In fact a delamination may breathe open and close during the vibration Composite beams and the assumptions of the free or constrained mode models are not completely correct in the Delamination whole of the vibration period. For this reason a new formulation is proposed for calculation of Natural Frequency natural frequencies based on the breathing of delamination. The obtained results are compared with various theoretical and experimental results available in the literature. Thus the effects of location and size of delamination can be investigated on the natural frequencies of delaminated beams. 2014 Growing Science Ltd. All rights reserved. 1. Introduction Advanced composite materials are increasingly used in .