| 弹性地基上厚矩形板弯曲问题的边界积分法 |
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| 引用本文： | 李文兰,付宝连.弹性地基上厚矩形板弯曲问题的边界积分法[J].天津大学学报(自然科学与工程技术版),1999,32(1):89-93. |
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| 作者姓名： | 李文兰 付宝连 |
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| 作者单位： | [1]天津大学机械工程学院 [2]燕山大学 |
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| 摘 要： | 提出求解弹性地基上厚矩形板弯曲问题的边界积分法，并应用该法首次给出了在均布载荷作用下四边筒支弹性基厚矩形板弯曲问题的双曲函数和三角函数混合表示的解的表达式。与双三角级数解相比较，该解具有收敛快的优点。同时用付里叶级数展开法求解了同一问题，所得结果与边界积分法的结果相同，证明了由边界积分法所得结果的正确性。
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| 关 键 词： | 边界积分法 弹性地基 厚矩形板 弯曲 矩形板 |
THE BOUNDARY INTEGRAL METHOD OF THE BENDING THICK RECTANGULAR PLATES WITH SIMPLE SUPPORTED ALL FOUR EDGES ON ELASTIC FOUNDATION |
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| Li,Wenlan,Fu,Baolian.THE BOUNDARY INTEGRAL METHOD OF THE BENDING THICK RECTANGULAR PLATES WITH SIMPLE SUPPORTED ALL FOUR EDGES ON ELASTIC FOUNDATION[J].Journal of Tianjin University(Science and Technology),1999,32(1):89-93. |
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| Authors: | Li Wenlan Fu Baolian |
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| Abstract: | In this paper,the boundary integral method is proposed.To solve the bending problem of thick rectangular plates on the elastic foundation.The exact analytical solution of the bending thick plates with simply supported four edges under uniformly load on the elastic foundation is first given.The rate of convergence of the boundary integral method is faster than the trigonometric series method.In comparison with the boundary method the integral method obtains the same result as the boundary method.Conseguently,the boundary integral method is proved to be correct. |
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| Keywords: | boundary integral method basic solution thick rectangular plates on elastic foundation |
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