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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 684Dynamic Analysis of Functionally Graded Euler Beam...

Dynamic Analysis of Functionally Graded Euler Beam with Elastically Restrained Edges

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Abstract:

Free vibration of functionally graded materials (FGMs) Euler beam with elastically restrained edges is investigated. The material properties of the FGMs beam vary continuously in the thickness direction according to the power law form. The neutral axis site of the FGMs beam is determined by the static equilibrium condition. The governing equation and boundary conditions are found by applying the Hamilton’s principle. The linear combination of a Fourier cosine series and auxiliary Legendre polynomial function is used to obtain the natural frequencies of the FGMs beam. The effects of the rotational spring stiffness, the translational spring stiffness and the gradient index on the natural frequencies are discussed and analyzed for different material properties and different boundary conditions, indicating that the frequencies are sensitive to the gradient variation of material properties and the spring stiffness.

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Proceedings of 2014 International Conference on Mechanics and Mechanical Engineering

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Periodical:

Applied Mechanics and Materials (Volume 684)

Pages:

182-190

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.684.182

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Online since:

October 2014

Authors:

Jun Feng Zhao*, Jing Fang, Yao Li

Keywords:

Elastically Restrained Edges, Euler Beam, Functionally Graded Material (FGM), Natural Frequency

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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