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  • 杨绿峰,李桂青,秦荣.高次广义参数单元及其应用[J].广西科学,1996,3(4):48-52.    [点击复制]
  • Yang Lufeng,LI Guiqing,Qin Rong.The Quintic Generalized Coefficient Element and Its Applications[J].Guangxi Sciences,1996,3(4):48-52.   [点击复制]
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高次广义参数单元及其应用
0
(1.广西大学土木系, 南宁市西乡塘路10号 530004;2.武汉工业大学, 湖北武汉 430070)
摘要:
利用5次插值样条函数,将二阶Hermite梁单元加以改进,使其具有明确含义的结点参数广义化,从而使高阶单元能够应用于曲率不连续的变截面梁、板、壳等结构中。算例表明这种高阶广义参数单元不仅保持了5次Hermite单元及5次样条函数的优点,并且克服了其不能直接应用于曲率不连续的变截面结构中的缺点。
关键词:  有限元  样条函数  广义参数
DOI:
投稿时间:1996-07-16
基金项目:
The Quintic Generalized Coefficient Element and Its Applications
Yang Lufeng1, LI Guiqing2, Qin Rong3
(1.Dept. of Civil Engineering, Guangxi University, 10 Xixiangtang Road, Nanning, Guangxi, 530004;2.Wuhan University of Technology, Wuhan, Hubei, 430070;3.Dept. of Civil Engineering, Guangxi Univ., 10 Xixiangtang Road, Nanning, Guangxi, 530004)
Abstract:
The quintic B-spline functions were used to adapt the common hermite beam element into a new kind of generalized quintic element.This new kind of high-order element has generalized nodal coefficients,and can be used to compute the beams whose curvity are uncontinuous.Examples in this paper show that the high-order generalized element keeps both the merits of quintic hermite elements and spline functins.
Key words:  finite element  spline functions  generalized coefficient

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