Frequency spectra of nonlocal Timoshenko beams and an effective method of determining nonlocal effect

doi:10.1016/j.ijmecsci.2017.05.017

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	Frequency spectra of nonlocal Timoshenko beams and an effective method of determining nonlocal effect
	Zhang Y(张吟); Zhang, Y (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech LNM, Beijing 100190, Peoples R China.
发表期刊	INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
	2017-08-01
卷号	128 页码:572-582
ISSN	0020-7403
摘要	Three critical frequencies independent of boundary conditions together with a critical length, which determine the vibration behaviors of a nonlocal Timoshenko beam, are identified. Unlike a local Timoshenko beam which has two frequency spectra, a nonlocal Timoshenko beam may have two frequency spectra or one frequency spectrum depending on the nonlocal effect. The eigenfrequencies of the higher modes of a nonlocal Timoshenko beam, irrespective of its boundary conditions, are shown to asymptotically approach one critical frequency, which is mainly determined by the nonlocal effect and beam material properties. This asymptotic behavior is proposed as a new and reliable way to determine the nonlocal effect. The nonlocal effect is also shown to determine whether a special vibration mode called thickness shear vibration can occur. (C) 2017 Elsevier Ltd. All rights reserved.
关键词	Nonlocal Effects Timoshenko Beam Resonant Frequency Frequency Spectrum
DOI	10.1016/j.ijmecsci.2017.05.017
URL	查看原文
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000409150400046
关键词[WOS]	TRANSVERSE VIBRATIONS ; ELASTICITY ; MECHANICS ; UNIFORM ; SHEAR ; BARS
WOS研究方向	Engineering ; Mechanics
WOS类目	Engineering, Mechanical ; Mechanics
项目资助者	National Natural Science Foundation of China (NSFC)(11372321)
课题组名称	LNM纳/微系统力学与物理力学
论文分区	一类
力学所作者排名	1
引用统计	被引频次：16[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/70045
专题	非线性力学国家重点实验室
通讯作者	Zhang, Y (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech LNM, Beijing 100190, Peoples R China.
推荐引用方式 GB/T 7714	Zhang Y,Zhang, Y . Frequency spectra of nonlocal Timoshenko beams and an effective method of determining nonlocal effect[J]. INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES,2017,128:572-582.
APA	张吟,&Zhang, Y .(2017).Frequency spectra of nonlocal Timoshenko beams and an effective method of determining nonlocal effect.INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES,128,572-582.
MLA	张吟,et al."Frequency spectra of nonlocal Timoshenko beams and an effective method of determining nonlocal effect".INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES 128(2017):572-582.

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