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	A mass lumping scheme for the 10-node tetrahedral element
	Zhang, Guohua; Yang, Yongtao; Sun, Guanhua; Zheng, Hong
刊名	ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
	2019
卷号	106期号:-页码:190-200
关键词	Lumped mass matrices 10-node tetrahedral element Dynamic analysis Finite element method Numerical manifold method
ISSN号	0955-7997
DOI	10.1016/j.enganabound.2019.04.018
英文摘要	In the dynamic analysis with explicit time integration scheme, a lumped mass matrix (LMM) is always preferable than the consistent mass matrix (CMM), since the solving of large scale simultaneous algebraic equations can be avoided if a LMM is employed. In this study, a mass lumping scheme which is suitable for the 10-node tetrahedral element is proposed. A series of numerical examples show that the natural frequencies assessed from the proposed LMM are very close to those from CMM. In addition, the dynamic responses of structure predicted by the proposed LMM are in very good agreement with those from CMM if an implicit time integration scheme is adopted. More importantly, the proposed LMM is less sensitive to mesh distortion than the CMM. The proposed LMM can supersede the CMM at any cases.
WOS研究方向	Engineering ; Mathematics
语种	英语
WOS记录号	WOS:000487168600018
内容类型	期刊论文
源URL	[http://119.78.100.198/handle/2S6PX9GI/14895]
专题	岩土力学所知识全产出_期刊论文
作者单位	Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan, Hubei, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Guohua,Yang, Yongtao,Sun, Guanhua,et al. A mass lumping scheme for the 10-node tetrahedral element[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,2019,106(-):190-200.
APA	Zhang, Guohua,Yang, Yongtao,Sun, Guanhua,&Zheng, Hong.(2019).A mass lumping scheme for the 10-node tetrahedral element.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,106(-),190-200.
MLA	Zhang, Guohua,et al."A mass lumping scheme for the 10-node tetrahedral element".ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 106.-(2019):190-200.

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