Investigating Static Deflection of Axial Functionally Graded Non-Prismatic Beams Using the Rayleigh Method
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Bibliographic record
Abstract
In this paper, Rayleigh method is utilized to compute the static deflection for simply supported, clamped-free, and free-clamped non-prismatic axial functionally graded (FG) beams under uniform distributed load.The non-prismatic beam was described assuming linear variation in width, height, or both, and the material distribution along the axial direction was defined using the power law model.A very excellent agreement was obtained when the Rayleigh method accuracy was compared with the results of the Finite Element Method (FEM) and the results of the previous literature.Results of the static deflection for axial functionally graded non-prismatic beams were displayed as a dimensionless form.The effects of material distribution, variation rate and supporting types were investigated.the results show that, generally, the maximum dimensionless static deflection is decreases at the same variation rate and any material distribution parameter.Also, when the material distribution parameter increases, the maximum dimensionless static deflection decreases at the same variation rate.The width variation has the maximum dimensionless static deflection comparing with the other variation cases.
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| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
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| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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