| 弹性地基上各向异性平行四边形板 |
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| 引用本文： | 刘俊卿,王克林,黄义. 弹性地基上各向异性平行四边形板[J]. 工程力学, 2005, 0(Z1) |
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| 作者姓名： | 刘俊卿 王克林 黄义 |
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| 作者单位： | [1]西安建筑科技大学理学院 [2]西安建筑科技大学理学院 陕西西安 [3]陕西西安 |
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| 摘 要： | 推导出弹性地基上各向异性平行四边形板的控制微分方程和内力方程。并利用对称性将其分解成中心对称和中心反对称两个问题,进而对每个问题给出了两个齐次解和一个特解,通过叠加而得到用重傅立叶级数表示的全解,该解克服了过去人们用重傅立叶级数仅在一个方向用一种级数(正弦或是余弦函数)表示导致的弊端。另外还给出了加快傅立叶级数收敛速度的计算公式。
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| 关 键 词： | 弹性地基 各向异性 平行四边形板 傅立叶级数 加快收敛 |
ANISOTROPIC PARALLELOGRAM PLATES ON ELASTIC FOUNDATION |
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| LIU Jun-qing,WANG Ke-lin,HUANG Yi. ANISOTROPIC PARALLELOGRAM PLATES ON ELASTIC FOUNDATION[J]. Engineering Mechanics, 2005, 0(Z1) |
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| Authors: | LIU Jun-qing WANG Ke-lin HUANG Yi |
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| Abstract: | The governing differential equations and the internal force expressions of anisotrophic parallelogram plates on elastic foundation are presented. According to symmetry, the problem is decomposed into symmetrical and antisymmetric parts, and for each part, two homogeneous solutions and a particular solution are given. The general solution, which is expressed as double Fourier series, is obtained by means of superposition. The present solution overcomes the flaw associated with other solutions using the double Fourier series. A formula accelerating the convergence of Fourier series is given as well. |
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| Keywords: | elastic foundation anisotropy parallelogram plate Fourier series convergence speedup |
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