Nonlinear vibrations of nano-beams accounting for nonlocal effect using a multiple scale method

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	Nonlinear vibrations of nano-beams accounting for nonlocal effect using a multiple scale method
其他题名	Nonlinear vibrations of nano-beams accounting for nonlocal effect using a multiple scale method
	Yang XiaoDong 1; Lim C W 2
	2009
发表期刊	SCIENCE IN CHINA SERIES E-TECHNOLOGICAL SCIENCES
ISSN	1006-9321
卷号	52 期号:3 页码:617-621
摘要	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.
其他摘要	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.
关键词	MULTIWALLED CARBON NANOTUBES CONTINUUM-MECHANICS nonlocal elasticity theory nanobeam natural frequency method of multiple scales
收录类别	CSCD
语种	英语
资助项目	[University of Science and Technology of China-City University of Hong Kong Joint Advanced Research Institute] ; [National Natural Science Foundation of China]
CSCD记录号	CSCD:3591085
引用统计
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/146486
专题	中国科学院金属研究所
作者单位	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
推荐引用方式 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.