混合统一梯度弹性纳米梁的动力特性

IF 10.1 2区工程技术 Q1 ENGINEERING, MECHANICAL

Facta Universitatis-Series Mechanical Engineering Pub Date : 2022-11-30 DOI:10.22190/fume220703035f

S. Faghidian, A. Tounsi

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引用次数: 12

摘要

采用弹性混合统一梯度理论对弹性纳米梁的动力特性进行了严格的分析。建立了一个一致变分框架，并检测了具有适当形式的附加非标准边界条件的动态平衡边值问题。作为平稳变分定理的一个公认的特权，结果场的本构律被视为微分关系。对弹性纳米梁的色散响应进行了解析求解，确定了相速度的封闭形式解。进一步对混合统一梯度弹性梁的自由振动进行了解析研究。本文对弹性纳米梁的动态特性进行了数值计算、图解和评论。验证了所建立的增广弹性理论在研究纳米梁的软化和加劲响应方面的有效性。为弹性纳米梁的动力分析提供了新的数值基准。所建立的混合统一梯度弹性模型为解决MEMS/NEMS中纳米结构的动力学问题提供了一种实用的方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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DYNAMIC CHARACTERISTICS OF MIXTURE UNIFIED GRADIENT ELASTIC NANOBEAMS

The mixture unified gradient theory of elasticity is invoked for the rigorous analysis of the dynamic characteristics of elastic nanobeams. A consistent variational framework is established and the boundary-value problem of dynamic equilibrium enriched with proper form of the extra non-standard boundary conditions is detected. As a well-established privilege of the stationary variational theorems, the constitutive laws of the resultant fields cast as differential relations. The wave dispersion response of elastic nano-sized beams is analytically addressed and the closed form solution of the phase velocity is determined. The free vibrations of the mixture unified gradient elastic beam is, furthermore, analytically studied. The dynamic characteristics of elastic nanobeams is numerically evaluated, graphically illustrated, and commented upon. The efficacy of the established augmented elasticity theory in realizing the softening and stiffening responses of nano-sized beams is evinced. New numerical benchmark is detected for dynamic analysis of elastic nanobeams. The established mixture unified gradient elasticity model provides a practical approach to tackle dynamics of nano-structures in pioneering MEMS/NEMS.

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来源期刊

Facta Universitatis-Series Mechanical Engineering ENGINEERING, MECHANICAL-

CiteScore

14.40

自引率

2.50%

发文量

审稿时长

6 weeks

期刊介绍： Facta Universitatis, Series: Mechanical Engineering (FU Mech Eng) is an open-access, peer-reviewed international journal published by the University of Niš in the Republic of Serbia. It publishes high-quality, refereed papers three times a year, encompassing original theoretical and/or practice-oriented research as well as extended versions of previously published conference papers. The journal's scope covers the entire spectrum of Mechanical Engineering. Papers undergo rigorous peer review to ensure originality, relevance, and readability, maintaining high publication standards while offering a timely, comprehensive, and balanced review process.