Geometrically nonlinear nonlocal strain gradient vibration of FG shear deformable curved nanobeams

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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date

2025

Department

Department of Civil Engineering

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Mcode

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Language

en

Pages

24

Series

Waves in Random and Complex Media, Volume 35, issue 5, pp. 9070-9093

Abstract

This article focuses on studying the nonlinear vibration of functionally graded (FG) curved nanobeams resting on the Pasternak-Winkler elastic foundation based on the nonlocal strain gradient theory along with the first-order shear deformation beam theory (FSDBT) considering von-Kármán hypothesis. The Hamilton principle is applied to extract three nonlinear motion equations and the Galerkin method (GM) is utilized to spatially reduce the differential equations. The analytical approach based on the two-step perturbation method (TSPM) was employed to deal with nonlinear governing equations. To verify the outcomes of the present article, the natural frequencies and frequency ratios are validated with those reported in the literature. Subsequently, the results presented in this paper are of a significant point to describe the nonlinear vibration of FG curved nanobeams in conjunction with different parameters.

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Keywords

ELASTICITY, MODEL, Nonlinear vibration, curved nanobeam, functionally graded materials, nonlocal strain gradient theory, shear deformable beam theory, two-step perturbation technique

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DOI

10.1080/17455030.2022.2102691

Citation

Hosseini, S M J, Torabi, J & Ansari, R 2025, 'Geometrically nonlinear nonlocal strain gradient vibration of FG shear deformable curved nanobeams', Waves in Random and Complex Media, vol. 35, no. 5, pp. 9070-9093. https://doi.org/10.1080/17455030.2022.2102691

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https://urn.fi/URN:NBN:fi:aalto-202510158206

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[article-cris] Insinööritieteiden korkeakoulu / ENG