Free vibration of the bi-dimensional functionally grated (2D-FG) nanobeams
In this paper, the free vibration of the bi-dimensional functionally grated (2D-FG) size dependent nanobeams was investigated by finite element method. The material properties of 2D-FG nanobeam are assumed to vary in both axial and thickness directions by power gradation laws. The size-dependent 2D-...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2024-01-01
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| Series: | E3S Web of Conferences |
| Subjects: | |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2024/26/e3sconf_eier2024_02004.pdf |
| Summary: | In this paper, the free vibration of the bi-dimensional functionally grated (2D-FG) size dependent nanobeams was investigated by finite element method. The material properties of 2D-FG nanobeam are assumed to vary in both axial and thickness directions by power gradation laws. The size-dependent 2D-FG nanobeam is studied on the basic of nonlocal continuum model. Based on the Euler-Bernoulli beam theory, a finite nanobeam element is derived and employed in vibration analysis of the beam. A parametric study has been carried out to show the effect of material distribution, nonlocal effect on the natural frequencies of the beams. |
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| ISSN: | 2267-1242 |