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变厚度薄板弯曲问题的边界元分析
引用本文:冯正农,夏世群. 变厚度薄板弯曲问题的边界元分析[J]. 山东建筑工程学院学报, 1990, 0(3)
作者姓名:冯正农  夏世群
作者单位:青岛海洋大学工程系,青岛建筑设计研究院
摘    要:针对工程实践中常见的一种板厚沿单方向线性变化的变厚度薄板,本文借助於无穷级数方法,将变厚度薄板复杂的弯曲问题的控制微分方程转化成一系列等厚度薄板形式的控制微分方程,进而应用边界元法进行求解,以获得变厚度薄板弯曲问题的近似解。

关 键 词:变厚度薄板  边界无法  等效荷载

BEM ANALYSIS FOR BENDING PROBLEM OF THIN PLATE OF VARIABLE THINCKNESS
Feng Zhengnong,Qingdao University of Ocean Xia Shiqun,Qingdao Building Design Institute. BEM ANALYSIS FOR BENDING PROBLEM OF THIN PLATE OF VARIABLE THINCKNESS[J]. Journal of Shandong Institute of Architecture and Engineering, 1990, 0(3)
Authors:Feng Zhengnong  Qingdao University of Ocean Xia Shiqun  Qingdao Building Design Institute
Abstract:In this paper, acommon thin plate of variable thinckness in practical engineering has been analysed by Boundary Element Meth- od(BEM). With the help of power Series Method, the complex control differential equation of thin plate of variable thinckness is resolved into a series of equations of equi-thinckness plate. Then BEM is used repeatedly to solute these equations, so that the result of thin plate of variable thinckness can be obtained.
Keywords:thin plate of variable thinckness  boundary element method  equivalent load
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