纳米球体径向自由振动的尺寸相关弹性精确解

IF 0.8 4区工程技术 Q4 ACOUSTICS

International Journal of Acoustics and Vibration Pub Date : 2019-12-31 DOI:10.20855/ijav.2019.24.41393

Y. Mirzaei

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引用次数: 1

摘要

使用基于表面能理论的精确尺寸相关弹性解来研究纳米球体的自由径向振动行为。采用Gurtin-Murdoch表面弹性模型将表面应力项纳入相关的边界条件中。这导致了涉及球面贝塞尔函数的频率方程。已经进行了大量的数值计算，以说明纳米球的尺寸对第一和第二无量纲呼吸固有频率的影响。数值结果描述了表面能和半径比对纳米球振动特征频率的必然影响。特别地，当内半径小于50nm时，表面能要重要得多。

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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Exact Size-Dependent Elasticity Solution for Free Radial Vibration of Nano-Sphere

An exact size-dependent elasticity solution based on surface energy theory is used to investigate the free radial vibration behavior of a nanoscale sphere. The Gurtin-Murdoch surface elasticity model is employed to incorporate surface stress terms into pertinent boundary conditions. This leads to frequency equations involving spherical Bessel functions. Extensive numerical calculations have been carried out to illustrate the size effect of the nanosphere on the first and second dimensionless breathing natural frequencies. The numerical results describe the imperative influence of surface energy and radii ratio on the vibrational characteristic frequency of the nano-sphere. In particular, the surface energy is much more important when the inner radius is smaller than 50 nm.

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来源期刊

International Journal of Acoustics and Vibration ACOUSTICS-ENGINEERING, MECHANICAL

CiteScore

1.60

自引率

10.00%

发文量

审稿时长

12 months

期刊介绍： The International Journal of Acoustics and Vibration (IJAV) is the refereed open-access journal of the International Institute of Acoustics and Vibration (IIAV). The IIAV is a non-profit international scientific society founded in 1995. The primary objective of the Institute is to advance the science of acoustics and vibration by creating an international organization that is responsive to the needs of scientists and engineers concerned with acoustics and vibration problems all around the world. Manuscripts of articles, technical notes and letters-to-the-editor should be submitted to the Editor-in-Chief via the on-line submission system. Authors wishing to submit an article need to log in on the IJAV website first. Users logged into the website are able to submit new articles, track the status of their articles already submitted, upload revised articles, responses and/or rebuttals to reviewers, figures, biographies, photographs, copyright transfer agreements, and send comments to the editor. Each time the status of an article submitted changes, the author will also be notified automatically by email. IIAV members (in good standing for at least six months) can publish in IJAV free of charge and their papers will be displayed on-line immediately after they have been edited and laid-out. Non-IIAV members will be required to pay a mandatory Article Processing Charge (APC) of $200 USD if the manuscript is accepted for publication after review. The APC fee allows IIAV to make your research freely available to all readers using the Open Access model. In addition, Non-IIAV members who pay an extra voluntary publication fee (EVPF) of $500 USD will be granted expedited publication in the IJAV Journal and their papers can be displayed on the Internet after acceptance. If the $200 USD (APC) publication fee is not honored, papers will not be published. Authors who do not pay the voluntary fixed fee of $500 USD will have their papers published but there may be a considerable delay. The English text of the papers must be of high quality. If the text submitted is of low quality the manuscript will be more than likely rejected. For authors whose first language is not English, we recommend having their manuscripts reviewed and edited prior to submission by a native English speaker with scientific expertise. There are many commercial editing services which can provide this service at a cost to the authors.