A lumped mass finite element method for vibration analysis of elastic plate-plate structures
文献类型：期刊论文
| 作者 | Lai JunJiang3; Huang JianGuo1,2; Shi ZhongCi4
|
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2010-06-01 |
| 卷号 | 53期号:6页码:1453-1474 |
| 关键词 | vibration analysis plate-plate structures lumped mass FEM error analysis |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-010-3072-1 |
| 英文摘要 | The fully discrete lumped mass finite element method is proposed for vibration analysis of elastic plate-plate structures. In the space directions, the longitudinal displacements on plates are discretized by conforming linear elements, and the transverse displacements are discretized by the Morley element. By means of the second order central difference for discretizing the time derivative and the technique of lumped masses, a fully discrete lumped mass finite element method is obtained, and two approaches to choosing the initial functions are also introduced. The error analysis for the method in the energy norm is established, and some numerical examples are included to validate the theoretical analysis. |
| 资助项目 | National Basic Research Program[2005CB321701] ; National Natural Science Foundation of China[10771138] ; E-Institutes of Shanghai Municipal Education Commission[E03004] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000278963700004 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11145]  |
| 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, E Inst Shanghai Univ, Div Computat Sci, Shanghai 200234, Peoples R China 3.Minjiang Univ, Dept Math, Fuzhou 350108, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Lai JunJiang,Huang JianGuo,Shi ZhongCi. A lumped mass finite element method for vibration analysis of elastic plate-plate structures[J]. SCIENCE CHINA-MATHEMATICS,2010,53(6):1453-1474. |
| APA | Lai JunJiang,Huang JianGuo,&Shi ZhongCi.(2010).A lumped mass finite element method for vibration analysis of elastic plate-plate structures.SCIENCE CHINA-MATHEMATICS,53(6),1453-1474. |
| MLA | Lai JunJiang,et al."A lumped mass finite element method for vibration analysis of elastic plate-plate structures".SCIENCE CHINA-MATHEMATICS 53.6(2010):1453-1474. |
入库方式： OAI收割
来源：数学与系统科学研究院
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