On the stability analysis of a restrained functionally graded nanobeam in an elastic matrix with neutral axis effects-Reference-Cited by-同舟云学术

On the stability analysis of a restrained functionally graded nanobeam in an elastic matrix with neutral axis effects

Published:2024-04-18 Issue:7 Volume:79 Page:735-753
ISSN:0932-0784
Container-title:Zeitschrift für Naturforschung A
language:en
Short-container-title:

Author:

Civalek Ömer¹²,Uzun Büşra³,Yaylı Mustafa Özgür³

Affiliation:

1. Engineering Faculty, Department of Civil Engineering , 37502 Akdeniz University , Antalya , Türkiye

2. Department of Medical Research , China Medical University Hospital, China Medical University , Taichung , Taiwan

3. Engineering Faculty, Department of Civil Engineering , 37523 Bursa Uludag University , Gorukle Campus, 16059 , Bursa , Türkiye

Abstract

Abstract In this work, a general eigenvalue solution of an arbitrarily constrained nonlocal strain gradient nanobeam made of functionally graded material is presented for the first time for the stability response by the effect of the Winkler foundation. Elastic springs at the ends of the nanobeam are considered in the formulation, which have not been considered in most studies. In order to analyze deformable boundary conditions, linear equation systems are derived in terms of infinite power series by using the Fourier sine series together with the Stokes’ transform. The higher-order force boundary conditions are used to obtain a coefficient matrix including different end conditions, power-law index, elastic medium, and small-scale parameters. A general eigenvalue problem of technical interest, associated with nonlocal strain gradient theory, is mathematically evaluated and presented in detail. Parametric results are obtained to investigate the effects of material length scale parameter, Winkler stiffness, power-law index, nonlocal parameter, and elastic springs at the ends. In addition, the effects of the other higher-order elasticity theories simplified from nonlocal strain gradient theory are also investigated and some benchmark results are presented.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/zna-2023-0361/pdf

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