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http://dx.doi.org/10.12989/sem.2014.52.5.1033

Eigen analysis of functionally graded beams with variable cross-section resting on elastic supports and elastic foundation  

Duy, Hien Ta (Department of Civil and Environmental Engineering, Sejong University)
Van, Thuan Nguyen (Department of Civil and Environmental Engineering, Sejong University)
Noh, Hyuk Chun (Department of Civil and Environmental Engineering, Sejong University)
Publication Information
Structural Engineering and Mechanics / v.52, no.5, 2014 , pp. 1033-1049 More about this Journal
Abstract
The free vibration of functionally graded material (FGM) beams on an elastic foundation and spring supports is investigated. Young's modulus, mass density and width of the beam are assumed to vary in thickness and axial directions respectively following the exponential law. The spring supports are also taken into account at both ends of the beam. An analytical formulation is suggested to obtain eigen solutions of the FGM beams. Numerical analyses, based on finite element method by using a beam finite element developed in this study, are performed in order to show the legitimacy of the analytical solutions. Some results for the natural frequencies of the FGM beams are given considering the effect of various structural parameters. It is also shown that the spring supports show the greatest effect on the natural frequencies of FGM beams.
Keywords
FGM beam; free vibration; closed-form solution; spring support; elastic foundation; FEM;
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Times Cited By KSCI : 1  (Citation Analysis)
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