| Surface effect on the resonant frequency of Timoshenko nanobeams | |
Jia N(贾宁) ; Yao Y(姚寅); Yang YZ(杨亚政); Chen SH(陈少华); Chen, SH (reprint author), Beijing Inst Technol, Beijing 100081, Peoples R China.
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| Source Publication | INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
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| 2017-11-01 | |
| Volume | 133Pages:21-27 |
| ISSN | 0020-7403 |
| Abstract | The dynamic behavior of a Timoshenko nanobeam would be significantly different from a macro-one due to the large ratio of surface area to volume of nanomaterials. Furthermore, the shear deformation effect would be obvious for a Timoshenko nanobeam in contrast to an Eulerian one. In this paper, a recently developed elastic theory is adopted in order to predict the resonant frequency of a Timoshenko nanobeam, in which not only the surface effect but also the shear deformation effect and the rotary inertia one are considered. In contrast to the existing surface effect theories, surface effect of nanomaterials is characterized by the surface energy density in the adopted theory. The resonant frequency of both a fixed-fixed nanobeam and a cantilevered one is analyzed. It is found that the dynamic behavior of nanobeams deviates significantly from the one predicted by both the classical Timoshenko beam theory and the Euler-Bernoulli one due to the surface effect. Furthermore, the shear deformation effect and the rotary inertia effect cannot be neglected in nanobeams with a relative small aspect ratio, which cannot be precisely characterized by the Euler-Bernoulli beam theory. In addition, the influencing mechanism of surface effect on the dynamic behavior of nanobeams would depend on the boundary conditions. The resonant frequency of a fixed-fixed Timoshenko nanobeam would be improved, while that of a cantilevered one would be weakened by the surface effect in contrast to the corresponding classical solutions. The results in this paper should be useful for precise design of nano-devices and helpful for reasonable assessment of test results of nano-instruments. (C) 2017 Elsevier Ltd. All rights reserved. |
| Keyword | Timoshenko Nanobeam Resonant Frequency Surface Effect Shear Deformation Effect Rotary Inertia Effect |
| DOI | 10.1016/j.ijmecsci.2017.07.052 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000415770300003 |
| WOS Keyword | BEAM MODEL ; ELASTIC PROPERTIES ; NANOWIRES ; STRESS ; ENERGY ; BEHAVIOR ; SILICON |
| WOS Research Area | Engineering ; Mechanics |
| WOS Subject | Engineering, Mechanical ; Mechanics |
| Funding Organization | National Natural Science Foundation of China(11532013 ; BIT Creative Research Plan ; Project of Beijing Municipal Science and Technology Commission(Z161100001416007) ; Project of State Key Laboratory of Explosion Science and Technology(ZDKT17-02) ; 11372317 ; 11402270) |
| Classification | 一类 |
| Ranking | 1 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/71939 |
| Collection | 非线性力学国家重点实验室 |
| Corresponding Author | Chen, SH (reprint author), Beijing Inst Technol, Beijing 100081, Peoples R China. |
| Recommended Citation GB/T 7714 | Jia N,Yao Y,Yang YZ,et al. Surface effect on the resonant frequency of Timoshenko nanobeams[J]. INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES,2017,133:21-27. |
| APA | 贾宁,姚寅,杨亚政,陈少华,&Chen, SH .(2017).Surface effect on the resonant frequency of Timoshenko nanobeams.INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES,133,21-27. |
| MLA | 贾宁,et al."Surface effect on the resonant frequency of Timoshenko nanobeams".INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES 133(2017):21-27. |
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| JouArt-2017-185.pdf（1061KB） | 期刊论文 | 作者接受稿 | 开放获取 | CC BY-NC-SA | View Download | |
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