| 双参数弹性地基上自由矩形中厚板问题分析尝试 |
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| 引用本文： | 杜永峰,王晓琴.双参数弹性地基上自由矩形中厚板问题分析尝试[J].兰州理工大学学报,2005,31(4):104-107. |
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| 作者姓名： | 杜永峰 王晓琴 |
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| 作者单位： | 兰州理工大学,防震减灾研究所,甘肃,兰州,730050 |
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| 基金项目： | 甘肃省科技攻关项目（GS022-A52-063） |
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| 摘 要： | 为了解决中厚板与双参数弹性地基的共同作用，基于弹性板理论，推导出中厚板弯曲的一种近似方法，求得了双参数地基上自由矩形中厚板弯曲问题的解析解，对数值算例编程求解，与Winklcr弹性地基上自由矩形中厚板的解进行比较，并与有限元解、差分解、福氏级数解、叠加解和复级数解进行对比，结果十分接近，证明该方法可行。
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| 关 键 词： | 双参数弹性地基 中厚板 解析 弯曲方程 |
| 文章编号： | 1000-5889(2005)04-0104-04 |
| 收稿时间： | 2004-07-08 |
| 修稿时间： | 2004年7月8日 |
Trial analysis of problem of free rectangular middle-thick plate on biparametric elastic foundation |
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| DU Yong-feng,WANG Xiao-qin.Trial analysis of problem of free rectangular middle-thick plate on biparametric elastic foundation[J].Journal of Lanzhou University of Technology,2005,31(4):104-107. |
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| Authors: | DU Yong-feng WANG Xiao-qin |
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| Abstract: | On the basis of elastic plate theory,an approximate method for solving the bending problem of middle-thick plate is derived in order to solve the coaction of free rectangular middle-thick plate with biparametric elastic foundation.Analytic solution of bending problem of this plate is obtained by numeric evaluation.The solution obtained is compared with that obtained by the method such as Winkler's,finite element,finite difference,Fourier series,superposition,and complex series;their solutions are almost identical,so that the appoximate method presented is proved to be feasible. |
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| Keywords: | biparametric elastic foundation middle-thick plate analysis bending equation |
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