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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.
Source PublicationINTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
2017-11-01
Volume133Pages:21-27
ISSN0020-7403
AbstractThe 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.
KeywordTimoshenko Nanobeam Resonant Frequency Surface Effect Shear Deformation Effect Rotary Inertia Effect
DOI10.1016/j.ijmecsci.2017.07.052
Indexed BySCI ; EI
Language英语
WOS IDWOS:000415770300003
WOS KeywordBEAM MODEL ; ELASTIC PROPERTIES ; NANOWIRES ; STRESS ; ENERGY ; BEHAVIOR ; SILICON
WOS Research AreaEngineering ; Mechanics
WOS SubjectEngineering, Mechanical ; Mechanics
Funding OrganizationNational 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)
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Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/71939
Collection非线性力学国家重点实验室
Corresponding AuthorChen, 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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