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Structural Engineering and Mechanics Volume 32, Number 6, august20 2009 , pages 811-833 DOI: https://doi.org/10.12989/sem.2009.32.6.811 |
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Analyses of tapered fgm beams with nonlocal theory |
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S. C. Pradhan and A. Sarkar
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| Abstract | ||
| In the present article bending, buckling and vibration analyses of tapered beams using Eringen non-local elasticity theory are being carried out. The associated governing differential equations are solved employing Rayleigh-Ritz method. Both Euler-Bernoulli and Timoshenko beam theories are considered in the analyses. Present results are in good agreement with those reported in literature. Beam material is considered to be made up of functionally graded materials (fgms). Non-local analyses for tapered beam with simply supported - simply supported, clamped - simply supported and clamped - free boundary conditions are carried out and discussed. Further, effect of length to height ratio on maximum deflections,vibration frequencies and critical buckling loads are studied. | ||
| Key Words | ||
| non local theory; Rayleigh-Ritz method; tapered beam; bending; buckling; vibration and boundary conditions. | ||
| Address | ||
| S. C. Pradhan and A. Sarkar: Department of Aerospace Engineering, Indian Institute of Technology Kharagpur West Bengal, India – 721 302 | ||