Vibration analysis for elastic multi-beam structures by the C-0-continuous time-stepping finite element method

doi:10.1002/cnm.1143

	Vibration analysis for elastic multi-beam structures by the C-0-continuous time-stepping finite element method
	Lai, Junjiang 1; Huang, Jianguo 1,2; Shi, Zhongci3
	2010-02-01
发表期刊	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING
ISSN	2040-7939
卷号	26 期号:2 页码:205-233
摘要	Some C-0-continuous time-stepping finite element method is proposed for investigating vibration analysis of elastic multi-beam structures. In the time direction, the C-0-continuous Galerkin method is used to discretize the generalized displacement field. In the space directions, the longitudinal displacements and rotational angles on beams are discretized using conforming linear elements, while the transverse displacements on beams are discretized by the Hermite elements of third order. The error of the method in the energy norm is proved to be O(h + k(3)), where h and k denote the mesh sizes of the subdivisions in the space and time directions, respectively. The finite difference analysis in time is developed to discuss the spectral behavior of the algorithms as well as their dissipation and dispersion properties in the low-frequency regime. The method has also been extended to study some nonlinear problems. A number of numerical tests are included to illustrate the computational performance of the method. Copyright (C) 2008 John Wiley & Sons, Ltd.
关键词	vibration analysis multi-beam structure C-0-continuous FEM error analysis
DOI	10.1002/cnm.1143
语种	英语
资助项目	National Basic Research Program[2005CB321701] ; NCET of China[NCET-06-0391] ; NNSFC[10771138] ; E-Institutes of Shanghai Municipal Education Commission[E03004]
WOS研究方向	Engineering ; Mathematical & Computational Biology ; Mathematics
WOS类目	Engineering, Biomedical ; Mathematical & Computational Biology ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000276897500005
出版者	WILEY-BLACKWELL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10020
专题	计算数学与科学工程计算研究所
通讯作者	Huang, Jianguo
作者单位	1.Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China 2.Shanghai Normal Univ, Shanghai Univ, Inst E, Div Computat Sci, Shanghai, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Lai, Junjiang,Huang, Jianguo,Shi, Zhongci. Vibration analysis for elastic multi-beam structures by the C-0-continuous time-stepping finite element method[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING,2010,26(2):205-233.
APA	Lai, Junjiang,Huang, Jianguo,&Shi, Zhongci.(2010).Vibration analysis for elastic multi-beam structures by the C-0-continuous time-stepping finite element method.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING,26(2),205-233.
MLA	Lai, Junjiang,et al."Vibration analysis for elastic multi-beam structures by the C-0-continuous time-stepping finite element method".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING 26.2(2010):205-233.