Non-Linear Vibrations of Graphene Nanoplatelet-Reinforced Composite Beams using Non-Local Strain Gradient Theory
<p>With the growing integration of nanotechnology into everyday life and the importance of nanoelectromechanical systems, this article examines the non-linear free vibrations of an Euler-Bernoulli (EB) composite beam reinforced with graphene nanoplatelets (GN), considering the Non-Local Strain...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Islamic Azad University-Isfahan (Khorasgan) Branch
2025-01-01
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| Series: | International Journal of Advanced Design and Manufacturing Technology |
| Subjects: | |
| Online Access: | https://sanad.iau.ir/journal/admt/Article/1129386 |
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| Summary: | <p>With the growing integration of nanotechnology into everyday life and the importance of nanoelectromechanical systems, this article examines the non-linear free vibrations of an Euler-Bernoulli (EB) composite beam reinforced with graphene nanoplatelets (GN), considering the Non-Local Strain Gradient Theory (NLSGT). First, the elastic properties of the nanocomposite reinforced with GN were calculated using the rules of mixtures and the Halpin-Tsai (HT) model. Then, the Equations describing the motion for the EB beam were obtained through the virtual work law, the NLSGT, and the von Kármán (VK) strain field, and were analyzed through the homotopy technique. After solving the Equations, the obtained results were compared with those available in other sources, showing a very good agreement. Finally, the outcomes of varying the graphene plates (GPLs) weight fraction, the GPLs distribution, and the proportional ratio of length to thickness of the beam regarding the non-linear natural frequency (NF) were investigated where one of the important results of this paper is that the highest non-linear NF occurs first in the <em>X-GPLRC</em> distribution, then in the <em>A-GPLRC</em> distribution, and finally in the <em>O-GPLRC</em> distribution.</p> |
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| ISSN: | 2252-0406 2383-4447 |