| Issue |
E3S Web Conf.
Volume 496, 2024
International Conference on Energy, Infrastructure and Environmental Research (EIER 2024)
|
|
|---|---|---|
| Article Number | 02004 | |
| Number of page(s) | 7 | |
| Section | Engineering Physics and Computational Technologies | |
| DOI | https://doi.org/10.1051/e3sconf/202449602004 | |
| Published online | 12 March 2024 | |
Free vibration of the bi-dimensional functionally grated (2D-FG) nanobeams
1 National Institute of Applied Mechanics and Informatics, VAST, 291 Dien Bien Phu, Ho Chi Minh City, Vietnam
2 University of Transport and Communications, 3 Cau Giay Street, Dong Da, Hanoi, Vietnam
3 Institute of Mechanics, VAST, 18 Hoang Quoc Viet, CauGiay, Hanoi, Vietnam
* Email: lengocanh@iami.vast.vn
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.
Key words: 2D-FG nanobeams / Vibration analysis / Nonlocal elasticity / Finite element method
© The Authors, published by EDP Sciences, 2024
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