Stability analysis of arbitrary restrained nanobeam embedded in an elastic medium via nonlocal strain gradient theory

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-04-19 DOI:10.1177/03093247231164261

B. Uzun, M. Yaylı

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引用次数: 1

Abstract

A novel stability model is analytically reformulated for the nano-sized beam resting on a one-parameter elastic foundation. The stability solution is based on the nonlocal strain gradient elasticity theory. To corporate the small size effects, two small scale parameters are introduced. The six-order ordinary differential form of the buckling equation, together with two force boundary conditions, are utilized to examine the stability equation in terms of lateral deflection. The infinite terms of linear equations are discretized with the help of the Stokes’ transformation and Fourier sine series. The present work can investigate the effects of elastic spring parameters at the ends, nonlocal properties, elastic medium properties, strain gradient parameter, and buckling behavior of the nanobeam. The predictions of the proposed analytical model with deformable boundary conditions are in agreement with those available in the scientific literature for the nanobeam on elastic foundation based on a closed form of solution. The presence of the deformable conditions, elastic foundation, nonlocal, and strain gradient properties change the buckling loads and buckling mode shapes.

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基于非局部应变梯度理论的任意约束纳米梁嵌入弹性介质的稳定性分析

本文对单参数弹性基础上的纳米梁的稳定性模型进行了重新解析。稳定性求解基于非局部应变梯度弹性理论。为了消除小尺度效应，引入了两个小尺度参数。利用屈曲方程的六阶常微分形式，结合两个力边界条件，研究了考虑侧向挠度的稳定性方程。利用Stokes变换和傅里叶正弦级数对线性方程的无穷项进行离散化。研究了末端弹性弹簧参数、非局部特性、弹性介质特性、应变梯度参数和屈曲行为对纳米梁的影响。本文提出的具有可变形边界条件的分析模型的预测结果与科学文献中基于封闭解形式的弹性基础上纳米梁的预测结果一致。变形条件、弹性基础、非局部和应变梯度特性的存在改变了屈曲载荷和屈曲振型。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.