| Pasternak地基上四边简支矩形薄板的弯曲问题 |
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| 引用本文： | 王志伟.Pasternak地基上四边简支矩形薄板的弯曲问题[J].洛阳大学学报,2004,19(4):74-77. |
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| 作者姓名： | 王志伟 |
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| 作者单位： | 伊川县建设局,质量监督站,河南,洛阳,471300 |
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| 摘 要： | 在文克尔地基模型上提出了一种双参数弹性地基：Pasternak地基模型．以三角级数作为矩形板挠度试函数，采用最小二乘法，获得了Pasternak地基上四边简支矩形薄板挠度的计算表达式，并给出了算例；计算结果表明：剪切模量对板的最大挠度具有一定的影响，这为进一步研究地基上板提供了综合力学模型。
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| 关 键 词： | Pasternak地基模型 最小二乘法 |
| 文章编号： | 1007-113X(2004)04-0074-04 |
| 修稿时间： | 2004年8月10日 |
Solution to Bending of Rectangular Thin Plates Simple Supported on Four Edges on Pasternak Model of Foundation |
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| WANG Zhi-wei.Solution to Bending of Rectangular Thin Plates Simple Supported on Four Edges on Pasternak Model of Foundation[J].Journal of Luoyang University,2004,19(4):74-77. |
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| Authors: | WANG Zhi-wei |
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| Abstract: | A two-model of foundation based on the Winker-model of foundation is advanced. By selecting a trigonometrical series as the trial function of rectangular thin plate deflection and adopting least square method, the formula of calculating deflection is obtained. The results of numerical example are also given, expressing that the parameter of shear-mode has larger influence on the largest deflection of thin plate. So a synthetic mechanic model is provided for the further study of plates. |
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| Keywords: | Pasternak model of foundation least square method |
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