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Journals / International Journal of Engineering and Applied Sciences / 2021 / Cilt: 13 - Sayı: 4

Bending Analysis of Functionally Graded Nanobeam Using Chebyshev Pseudospectral Method

Nurettin ŞENYER
Nihat CAN
İbrahim KELES
Pages
179–188
Publication Date
2021-12-31
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Therefore, numerical approach is inevitable for the solution of the problem.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Static performance of functionally graded cantilever nanobeams exposed to lateral and axial loads from the end was examined by applying the Pseudospectral Chebyshev Method.
📊
Key Findings & Data:A solution is given for bending analysis using Euler-Bernoulli beam theory.
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Conclusion & Impact:Therefore, numerical approach is inevitable for the solution of the problem.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Nonlocal elasticity theory · nanobeam · Chebyshev pseudospectral method

Abstract

Static performance of functionally graded cantilever nanobeams exposed to lateral and axial loads from the end was examined by applying the Pseudospectral Chebyshev Method. A solution is given for bending analysis using Euler-Bernoulli beam theory. The nonlocal elasticity theory was first introduced by Eringen and is used to represent effect on a small scale. Using the aforementioned theory, the governing differential equations the phenomenon for functionally graded nanobeams are reproduced. It is supposed that the modulus of elasticity of the beam changes exponentially in the x-axis direction, except for the values taken as constant. The exponential change of material properties may not allow analytical problems to be solved with known methods. Therefore, numerical approach is inevitable for the solution of the problem.

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Cite This Article

ŞENYER, N., CAN, N., KELES, İ. (2021). Bending Analysis of Functionally Graded Nanobeam Using Chebyshev Pseudospectral Method. International Journal of Engineering and Applied Sciences, Cilt: 13 - Sayı: 4, 179–188. https://ajindex.com/articles/766578

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