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应用Gurtin变分原理求解板动力问题的样条有限元法
引用本文:毕继红,郭淑卿. 应用Gurtin变分原理求解板动力问题的样条有限元法[J]. 天津城市建设学院学报, 2000, 6(2): 84-88
作者姓名:毕继红  郭淑卿
作者单位:天津大学,建筑工程学院,天津300072
摘    要:以Gurtin变分原理为基础,空间上应用样条有限元法,时间域上采用逐步代换的方法,建立了计算板动力问题的样条有限元法,算例表明,与现有板动力分析方法相比本中的方法具有更高的精度。

关 键 词:Gurtin变分原理 初值问题 样条有限元法
文章编号:1006-6853(2000)02-0084-05
修稿时间:2000-01-06

A spline finite elenent methods for initial value problems of elastradynamics of plate with Gurtin variational principle
BI Ji-hong,GUO Shu-qing. A spline finite elenent methods for initial value problems of elastradynamics of plate with Gurtin variational principle[J]. Journal of Tianjin Institute of Urban Construction, 2000, 6(2): 84-88
Authors:BI Ji-hong  GUO Shu-qing
Affiliation:BI Ji-hong,GUO Shu-qing;(School of Constructional Engineering,Tianjin University,Tianjin 300072,China)
Abstract:Based on Gurtin variational principle,a spline finite element method for initial value problems of plate was presented by applying spline finite element method to space domain and step by step method to time domain.Numerical results show that higher accuracy can be obtained by using the present methods than the original methods for dynamic responses.
Keywords:Gurtin variational principle   initial-value problem   spline finite element method   convolution
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