简支纳米梁的非局部振动:高阶模态

IF 4.2 Q2 NANOSCIENCE & NANOTECHNOLOGY
M. Masoumi, M. Masoumi
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引用次数: 2

摘要

本文从经典理论和非局部理论两方面研究了旋转惯量、非局部参数和长厚比等参数对固有频率的影响。对于Timoshenko梁,首先由Hamilton原理推导出运动方程和边界条件,然后采用Eringen的非局部本构方程来综合表述问题。然后,利用得到的控制方程研究了Timoshenko简支纳米梁的自由振动。最后,研究了经典弹性理论和非局部弹性理论中上述参数对估计频率的影响。结果表明,考虑转动惯量时,两种理论计算得到的高阶振型频率差异增大,固有频率显著减小。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Non-local vibration of simply supported nano-beams: Higher-order modes
In this article, the effects of some parameters, including rotary inertia, non-local parameter, and length-to-thickness ratio, on natural frequencies are studied for both classical and non-local theories. For Timoshenko beam, the equations of motion and the boundary conditions are derived from Hamilton’s principle and then non-local constitutive equations of Eringen are employed to altogether formulate the problem. Afterward, obtained governing equations are used to study the free vibrations of a Timoshenko’s simply supported nano-beam. And finally, the effects of above-mentioned parameters on estimated frequencies in classical and non-local elasticity theories are investigated. Results show that the discrepancy between the frequencies of higher-order vibration modes obtained from two theories increases and also significant reductions in natural frequencies occur when the rotary inertia is considered in the computations.
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来源期刊
CiteScore
6.00
自引率
1.70%
发文量
24
期刊介绍: Proceedings of the Institution of Mechanical Engineers Part N-Journal of Nanomaterials Nanoengineering and Nanosystems is a peer-reviewed scientific journal published since 2004 by SAGE Publications on behalf of the Institution of Mechanical Engineers. The journal focuses on research in the field of nanoengineering, nanoscience and nanotechnology and aims to publish high quality academic papers in this field. In addition, the journal is indexed in several reputable academic databases and abstracting services, including Scopus, Compendex, and CSA's Advanced Polymers Abstracts, Composites Industry Abstracts, and Earthquake Engineering Abstracts.
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