Vibration analysis for elastic multi-beam structures by the C-0-continuous time-stepping finite element method
文献类型：期刊论文
| 作者 | Lai, Junjiang1; Huang, Jianguo1,2; Shi, Zhongci3
|
| 刊名 | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING
 |
| 出版日期 | 2010-02-01 |
| 卷号 | 26期号:2页码:205-233 |
| 关键词 | vibration analysis multi-beam structure C-0-continuous FEM error analysis |
| ISSN号 | 2040-7939 |
| DOI | 10.1002/cnm.1143 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000276897500005 |
| 出版者 | WILEY-BLACKWELL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10019]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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