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正交各向异性厚板的边界元解法 被引量:4

BOUNDARY ELEMENT METHOD OF THE ORTHOTROPIC THICK PLATES
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摘要 本文利用 Hormander 算子法和平面波分解法导出了计入剪切变形的正交各向异性厚板的基本解。建立了计入剪切变形的正交各向异性厚板的边界积分方程。文中详细地讨论了基本解的数值计算,并用边界元法分析了一些算例。 In this paper the fundamental solutions of the orthotropic thick plate involving transvere shear deformation are presented by using Hormander's method and plane wave decomposition. The boundary integral equations of the thick plates are obtained, which are adapted to arbitrary boundary condrions and plane forms. The numerical calculations of the fundamental solutions are discussed in detail. Some of numerical examples are analyzed with B.E.M.In this paper the fundamental solutions of the orthotropic thick plate involving transvere shear deformation are presented by using Hormander's method and plane wave decomposition. The boundary integral equations of the thick plates are obtained, which are adapted to arbitrary boundary condrions and plane forms. The numerical calculations of the fundamental solutions are discussed in detail. Some of numerical examples are analyzed with B.E.M.
出处 《力学学报》 EI CSCD 北大核心 1991年第4期475-483,共9页 Chinese Journal of Theoretical and Applied Mechanics
基金 国家自然科学基金
关键词 各向异性 边界元法 基本解 厚板 the orthotropic thick plate, the fundamental solutions, B.E.M.
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参考文献3

  • 1何广乾,林春哲,邵辣子.任意二次型双曲面扁薄壳的基本解[J]上海力学,1984(03). 被引量:1
  • 2曹志远,杨升田著..厚板动力学理论及其应用[M].北京:科学出版社,1983:418.
  • 3(苏)列赫尼茨基,С.Г.著,胡海昌译..各向异性板[M].北京:科学出版社,1963:468.

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