Bending Analysis of Functionally Graded Nanobeam Using Chebyshev Pseudospectral Method

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International Journal of Engineering and Applied Sciences
Volume:13 Issue:4
Bending Analysis of Functionally Graded Nanobeam Using Chebyshev Pseudospectral Method

Bending Analysis of Functionally Graded Nanobeam Using Chebyshev Pseudospectral Method

Authors : Nurettin ŞENYER, Nihat CAN, İbrahim KELES

Pages : 179-188

Doi:10.24107/ijeas.1036951

View : 32 | Download : 11

Publication Date : 2021-12-31

Article Type : Research Paper

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.
Keywords : Nonlocal elasticity theory, nanobeam, Chebyshev pseudospectral method, bending analysis

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