An improved time integration scheme based on uniform cubic B-splines and   its application in structural dynamics

doi:10.1007/s10483-017-2207-8

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	An improved time integration scheme based on uniform cubic B-splines and its application in structural dynamics
	Wen, Weibin ; Lei, Hongshuai ; Wei, Kai ; Xu, Baosheng ; Duan, Shengyu ; Fang, Daining
刊名	APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
	2017
关键词	dynamical system time integration stability dynamic response B-spline STABLE EXPLICIT METHOD NUMERICAL DISSIPATION
DOI	10.1007/s10483-017-2207-8
英文摘要	A time integration algorithm for structural dynamic analysis is proposed by uniform cubic B-spline functions. The proposed algorithm is successfully used to solve the dynamic response of a single degree of freedom (SDOF) system, and then is generalized for a multiple-degree of freedom (MDOF) system. Stability analysis shows that, with an adjustable algorithmic parameter, the proposed method can achieve both conditional and unconditional stabilities. Validity of the method is shown with four numerical simulations. Comparison between the proposed method and other methods shows that the proposed method possesses high computation accuracy and desirable computation efficiency.; National Natural Science Foundation of China [11602004, 11602081]; Fundamental Research Funds for the Central Universities [531107040934]; SCI(E); 中国科学引文数据库(CSCD); ARTICLE; 6; 889-908; 38
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/473199]
专题	工学院
推荐引用方式 GB/T 7714	Wen, Weibin,Lei, Hongshuai,Wei, Kai,et al. An improved time integration scheme based on uniform cubic B-splines and its application in structural dynamics[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,2017.
APA	Wen, Weibin,Lei, Hongshuai,Wei, Kai,Xu, Baosheng,Duan, Shengyu,&Fang, Daining.(2017).An improved time integration scheme based on uniform cubic B-splines and its application in structural dynamics.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION.
MLA	Wen, Weibin,et al."An improved time integration scheme based on uniform cubic B-splines and its application in structural dynamics".APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION (2017).