| 广义地基薄板样条边界元分析 |
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| 引用本文： | 王有成,江隆植. 广义地基薄板样条边界元分析[J]. 合肥工业大学学报(自然科学版), 1988, 0(2) |
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| 作者姓名： | 王有成 江隆植 |
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| 作者单位： | Wang Youcheng，Jiang Longzhi |
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| 摘 要： | 本文旨在用样条边界元法分析基础板线性接触问题,为此,把地基反力视为外部荷载,运用Betti定理把板的控制微分方程化为积分方程,并引入广义地基的数学模型。由于采用了连续性好的样条函数插值和初等函数作为基本解,使CPU时间大为节省,另外本文还提出了两种简便方法考虑边荷载的作用,而且有效地解决了无穷积分收敛速度的问题,文末算例表明此方法用于分析基础板接触问题非常有效。
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| 关 键 词： | 边界单元法 样条函数 广义地基 薄板 无穷积分 边荷载 |
SPLINE BOUNDARY ELEMENT METHOD FOR PLATES ON GENERALIZED FOUNDATION |
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| Wang Youcheng,Jiang Longzhi. SPLINE BOUNDARY ELEMENT METHOD FOR PLATES ON GENERALIZED FOUNDATION[J]. Journal of Hefei University of Technology(Natural Science), 1988, 0(2) |
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| Authors: | Wang Youcheng Jiang Longzhi |
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| Abstract: | This paper is concerned with the analysis of liner contact problem of the plates on generalized foundation by means of S.B.E.M.The reaction of foundation P is described as external load. The differential equation of plate could be changed into integral equation by Betli's therom. The mathematical model of generallized foundation could be introduced. The CPU time is less than that of other methods because of high countinuty of spline function while elementary functions are used as funda mental solutions. Additionally, the paper introduced methods to solve the action of side load and improve the convergent rate of infinite integration.It is powerfully effective to analyze the bending problems of the plates on generalized foundation with our methods through many numerical example. |
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| Keywords: | boundary element method spline function generalized foundation thin plate infinite integration side load. |
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