| Nonlinear vibrations of nano-beams accounting for nonlocal effect using a multiple scale method | |
| Alternative Title | Nonlinear vibrations of nano-beams accounting for nonlocal effect using a multiple scale method |
| Yang XiaoDong1; Lim C W2 | |
| 2009 | |
| Source Publication | SCIENCE IN CHINA SERIES E-TECHNOLOGICAL SCIENCES
 |
| ISSN | 1006-9321 |
| Volume | 52Issue:3Pages:617-621 |
| Abstract | The nonlinear free transverse vibrations of a nano-beam on simple supports are investigated based on nonlocal elasticity theory. The governing equation is proposed by considering geometric nonlinearity due to finite stretching of the beam. The method of multiple scales is applied to the governing equation to evaluate the nonlinear natural frequencies. Numerical examples are presented to demonstrate the analytical results and highlight the contributions of the nonlinear term and nonlocal effect. |
| Other Abstract | The nonlinear free transverse vibrations of a nano-beam on simple supports are Investigated based on nonlocal elasticity theory. The governing equation is proposed by considering geometric nonlinearity due to finite stretching of the beam. The method of multiple scales is applied to the governing equation to evaluate the nonlinear natural frequencies. Numerical examples are presented to demonstrate the analytical results and highlight the contributions of the nonlinear term and nonlocal effect. |
| Keyword | MULTIWALLED CARBON NANOTUBES CONTINUUM-MECHANICS nonlocal elasticity theory nanobeam natural frequency method of multiple scales |
| Indexed By | CSCD |
| Language | 英语 |
| Funding Project | [University of Science and Technology of China-City University of Hong Kong Joint Advanced Research Institute] ; [National Natural Science Foundation of China] |
| CSCD ID | CSCD:3591085 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.imr.ac.cn/handle/321006/146486 |
| Collection | 中国科学院金属研究所 |
| Affiliation | 1.中国科学院金属研究所 2.City University Hong Kong, Dept Bldg & Construct, Hong Kong 999077, Peoples R China |
| Recommended Citation GB/T 7714 | Yang XiaoDong,Lim C W. Nonlinear vibrations of nano-beams accounting for nonlocal effect using a multiple scale method[J]. SCIENCE IN CHINA SERIES E-TECHNOLOGICAL SCIENCES,2009,52(3):617-621. |
| APA | Yang XiaoDong,&Lim C W.(2009).Nonlinear vibrations of nano-beams accounting for nonlocal effect using a multiple scale method.SCIENCE IN CHINA SERIES E-TECHNOLOGICAL SCIENCES,52(3),617-621. |
| MLA | Yang XiaoDong,et al."Nonlinear vibrations of nano-beams accounting for nonlocal effect using a multiple scale method".SCIENCE IN CHINA SERIES E-TECHNOLOGICAL SCIENCES 52.3(2009):617-621. |
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