Free Vibrations Analysis of Stepped Nanobeams Using Nonlocal Elasticity Theory

IF 1.4 4区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

Scientia Iranica Pub Date : 2023-07-18 DOI:10.24200/sci.2023.61602.7395

M. Nalbant, S. Bağdatlı, A. Teki̇n

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引用次数: 0

Abstract

. Free vibration of stepped nanobeams was investigated using Eringen's nonlocal elasticity theory. Beam analysis is based on Bernoulli-Euler theory and nanoscale analysis is based on Eringen's nonlocal elasticity theory. The system boundary conditions were determined as simple-simple. The equations of motion of the system were obtained using Hamilton's principle. For the solution of the obtained state equations, a multi-time scale, which is one of the perturbation methods, was used. The results part of the study, it is aimed to observe the nano-size effect and the effects of the step state. For this purpose, the natural frequency values of the first three modes of the system were obtained for different non-local parameter values, step rates, and step positions. When the results were examined, it was determined that the non-local parameter value, step ratio, and natural frequency were inversely proportional to each other. In addition, to strengthen the accuracy of the results, the results obtained were compared with the results of other studies in the literature conducted under the specified conditions, and a perfect agreement was observed. The current beam model, on the other hand, could help design and manufacture ICs such as nano-sensors and nano-actuators.

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利用非局部弹性理论分析阶梯纳米梁的自由振动

.使用 Eringen 的非局部弹性理论研究了阶梯纳米梁的自由振动。梁的分析基于伯努利-欧拉理论，而纳米级的分析则基于 Eringen 的非局部弹性理论。系统边界条件被确定为简单-简单。利用汉密尔顿原理获得了系统的运动方程。为了求解得到的状态方程，使用了多时间尺度，这是一种扰动方法。研究结果部分旨在观察纳米尺寸效应和阶跃状态的影响。为此，在不同的非局部参数值、阶跃率和阶跃位置下，获得了系统前三个模态的固有频率值。研究结果表明，非局部参数值、步长比和固有频率之间成反比。此外，为了加强结果的准确性，还将获得的结果与文献中在特定条件下进行的其他研究结果进行了比较，结果完全一致。另一方面，当前的梁模型有助于设计和制造集成电路，如纳米传感器和纳米致动器。

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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来源期刊

Scientia Iranica 工程技术-工程：综合

CiteScore

2.90

自引率

7.10%

发文量

审稿时长

2 months

期刊介绍： The objectives of Scientia Iranica are two-fold. The first is to provide a forum for the presentation of original works by scientists and engineers from around the world. The second is to open an effective channel to enhance the level of communication between scientists and engineers and the exchange of state-of-the-art research and ideas. The scope of the journal is broad and multidisciplinary in technical sciences and engineering. It encompasses theoretical and experimental research. Specific areas include but not limited to chemistry, chemical engineering, civil engineering, control and computer engineering, electrical engineering, material, manufacturing and industrial management, mathematics, mechanical engineering, nuclear engineering, petroleum engineering, physics, nanotechnology.