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On Vibration Responses of Advanced Functionally Graded Carbon Nanotubes Reinforced Composite Nanobeams

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Abstract:

This article presents an analytical approach to explore the free vibration behaviour of new functionally graded carbon nanotube-reinforced composite beams (FG-CNTRC) based on a two-variable higher-order shear deformation theory and nonlocal strain gradient theory. The beams resting on the Pasternak elastic foundation, including a shear layer and Winkler spring, are considered. The kinematic relations of the shaft are proposed according to novel trigonometric functions. The vibrated nanobeam’s motion equations are obtained via the classical Hamilton’s principle and solved using Navier’s steps. A comparative evaluation of results against predictions from literature demonstrates the accuracy of the proposed analytical model. Moreover, a detailed parametric analysis checks for the sensitivity of the vibration response of FG nanobeams to nonlocal length scale, strain gradient microstructure scale, material distribution, constant spring factors, and geometry. The current work presents the free vibration problem of supported (FG-CNTRC) beams reinforced by different patterns of carbon nanotube (CNT) distributions in the polymeric matrix.

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Journal of Nano Research Vol. 80 View Preview

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Periodical:

Journal of Nano Research (Volume 80)

Pages:

49-63

DOI:

https://doi.org/10.4028/p-u9eXPt

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Online since:

September 2023

Authors:

Miloud Ladmek, Abdelkader Belkacem, Mohammed Sid Ahmed Houari*, Ahmed Amine Daikh, Aicha Bessaim, Mohamed Ouejdi Belarbi, Abdelouahed Tounsi, Adnan I. Khdair, Mohamed A. Eltaher

Keywords:

Free Vibration, Higher Order Nonlocal Strain Gradient Theory, Navier’s Solution, New Cosine FGM

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© 2023 Trans Tech Publications Ltd. All Rights Reserved

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* - Corresponding Author

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