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具有初缺陷板弯曲的边界元分析
引用本文:王元丰,李立军.具有初缺陷板弯曲的边界元分析[J].钢结构,1993(4).
作者姓名:王元丰  李立军
作者单位:北京航空航天大学,大庆油田建设设计研究院 100083
摘    要:限于具有初曲率等有缺陷板弯曲问题的控制微分方程的复杂,直接求解原问题基本解推导边界积分方程较为困难,本文通过引入等效荷载,将此问题的控制微分方程,化成与普通板弯曲基本方程形式相同的微分方程,利用一般求解板弯曲问题的边界元法进行迭代求解,建立了分析具有初曲率板弯曲问题的边界元法,算例表明本文方法理论准确,精度良好。

关 键 词:初曲率板  边界元法  弯曲

BOUNDARY ELEMENT ANALYSIS OF BENDING PLATE WITH INITIAL CURVATURE
Wang Yuanfen.BOUNDARY ELEMENT ANALYSIS OF BENDING PLATE WITH INITIAL CURVATURE[J].Steel Construction,1993(4).
Authors:Wang Yuanfen
Affiliation:Wang Yuanfen (Beijing University of Aeronautics and Astronautics) Li Lijun (Daqing Oil Field Construction design and Research Institute)
Abstract:Owing to the complication of governing dilTerential equation for bending plate with initial curva- ture,fundamental solution of such equation is not easy to be obtained and derivation of boundary integration equation is quite difficult.In this paper,the governing differential equation was transformed into one anological to the type of equation for ordinary bending plate by resorting to the equivalent load.As a result,the problem wae considerably simplified.Example shows,present method is theoretical correct and demonstrated good precision.
Keywords:Plate with initial curvature  Boundary element method  bending  
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