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高次广义参数单元及其应用
引用本文: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
作者姓名:杨绿峰  李桂青  秦荣
作者单位:广西大学土木系,武汉工业大学,广西大学土木系
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人面梁,板,壳等结构中,算例表明中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 广义参数单元 样条有限元
收稿时间:1996-07-16

The Quintic Generalized Coefficient Element and Its Applications
Yang Lufeng,LI Guiqing and Qin Rong. The Quintic Generalized Coefficient Element and Its Applications[J]. Guangxi Sciences, 1996, 3(4): 48-52
Authors:Yang Lufeng  LI Guiqing  Qin Rong
Affiliation:Dept. of Civil Engineering, Guangxi University, 10 Xixiangtang Road, Nanning, Guangxi, 530004,Wuhan University of Technology, Wuhan, Hubei, 430070 and 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.
Keywords:finite element  spline functions  generalized coefficient
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