A lumped mass finite element method for vibration analysis of elastic plate-plate structures

doi:10.1007/s11425-010-3072-1

	A lumped mass finite element method for vibration analysis of elastic plate-plate structures
	Lai JunJiang 3; Huang JianGuo 1,2; Shi ZhongCi4
	2010-06-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	53 期号:6 页码:1453-1474
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.
关键词	vibration analysis plate-plate structures lumped mass FEM error analysis
DOI	10.1007/s11425-010-3072-1
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000278963700004
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11146
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.