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Structural Engineering and Mechanics Volume 52, Number 5, December10 2014 , pages 1033-1049 DOI: https://doi.org/10.12989/sem.2014.52.5.1033 |
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Eigen analysis of functionally graded beams with variable cross-section resting on elastic supports and elastic foundation |
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Hien Ta Duy, Thuan Nguyen Van and Hyuk Chun Noh
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| 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. | ||
| Key Words | ||
| FGM beam, free vibration, closed-form solution, spring support, elastic foundation, FEM | ||
| Address | ||
| Hien Ta Duy, Thuan Nguyen Van and Hyuk Chun Noh: Department of Civil and Environmental Engineering, Sejong University, 98 Gunja-dong, Gwangjin-gu, Seoul 143-747, Republic of Korea | ||