Original scientific paper
https://doi.org/10.13167/2023.27.10
MODAL BEHAVIOUR OF LONGITUDINALLY PERFORATED NANOBEAMS
Hassina Ziou
; National Centre for Studies and Integrated Research on Building (CNERIB), Souidania, Algiers 16097, Algeria
*
Mohamed Guenfoud
; University of Guelma, faculty of science and technology, Department of Civil and Hydraulic Engineering, BP 401 Guelma 24000, Algeria
* Corresponding author.
Abstract
Nano-electro-mechanical systems (NEMS) require perforated beams for structural integrity. Hole sizes, hole numbers, and scale effects need to be modelled appropriately in their design. This paper presents a new finite element model to investigate the modal behaviour of longitudinally perforated nanobeams (LPNBs) using the classical Euler–Bernoulli beam theory. A symmetric array of holes arranged parallel to the length direction of the beam with equal spacing was assumed for the perforation. The non-local Eringen’s differential form was used to incorporate the nanoscale sizes. The accuracy of the proposed model was verified by comparing the obtained results with the available analytical solutions for fully filled nanobeams. The effects of aspect ratios, non-local parameters, boundary conditions, and perforation characteristics on the modal behaviour of LPNBs were investigated. The non-local parameter reduced the natural frequency owing to a decrease in the stiffness of the structures. However, the perforation filling ratio led to higher values of the fundamental frequency. Furthermore, compared with other boundary conditions, clamped–clamped boundary conditions demonstrated the best performance in terms of the maximum frequency.
Keywords
Longitudinally perforated nanobeam; Nonlocal elasticity; finite element method; Euler-Bernoulli beam theory
Hrčak ID:
312920
URI
Publication date:
7.12.2023.
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