| 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.
| |
| Source Publication | INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
 |
| 2017-08-01 | |
| Volume | 128Pages:572-582 |
| ISSN | 0020-7403 |
| Abstract | 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. |
| Keyword | Nonlocal Effects Timoshenko Beam Resonant Frequency Frequency Spectrum |
| DOI | 10.1016/j.ijmecsci.2017.05.017 |
| URL | 查看原文 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000409150400046 |
| WOS Keyword | TRANSVERSE VIBRATIONS ; ELASTICITY ; MECHANICS ; UNIFORM ; SHEAR ; BARS |
| WOS Research Area | Engineering ; Mechanics |
| WOS Subject | Engineering, Mechanical ; Mechanics |
| Funding Organization | National Natural Science Foundation of China (NSFC)(11372321) |
| Department | LNM纳/微系统力学与物理力学 |
| Classification | 一类 |
| Ranking | 1 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/70045 |
| Collection | 非线性力学国家重点实验室 |
| Corresponding Author | Zhang, Y (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech LNM, Beijing 100190, Peoples R China. |
| Recommended Citation 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. |
| Files in This Item: | Download All | |||||
| File Name/Size | DocType | Version | Access | License | ||
| JouArt-2017-157.pdf（968KB） | 期刊论文 | 作者接受稿 | 开放获取 | CC BY-NC-SA | View Download | |
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment