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Winkler弹性地基上矩形板弯曲问题复形式解析解
引用本文:黄明挥,赵美余,徐临洪. Winkler弹性地基上矩形板弯曲问题复形式解析解[J]. 南昌大学学报(工科版), 2000, 22(1): 17-21
作者姓名:黄明挥  赵美余  徐临洪
作者单位:1. 南昌大学土木工程学院,江西南昌,330029
2. 南昌有色冶金设计研究院,江西南昌,330002
3. 南昌市第一建筑工程公司,江西南昌,330008
摘    要:采用复级数构造出Winkler弹性地基上矩形板弯曲问题的一般解析解,形式简单,位移和内力形式统一,可应用于各种连续边界条件,并对四边固定的矩形板在均布荷载作用下的弯曲问题进行了计算。结果表明本文复级数解析解具有良好的收敛性。

关 键 词:矩形板 弹性地基 解析解 复级数 弯曲
文章编号:1006-0456(2000)01-0017-05
修稿时间:1999-04-05

A Complex-Series Solution to Rectangular Plates on Winkler Elastic Foundation
Huang Minghui,Zhao Meiyu,Xu Linhong. A Complex-Series Solution to Rectangular Plates on Winkler Elastic Foundation[J]. Journal of Nanchang University(Engineering & Technology Edition), 2000, 22(1): 17-21
Authors:Huang Minghui  Zhao Meiyu  Xu Linhong
Affiliation:Huang Minghui ;( Civil Engineering School, Nanchang University, Nanchang 330029, China);Zhao Meiyu ;( Nanchang Engineering and Research Institute of Nonferrous.Metals,Nanchang 330002,China;);Xu Linhong ;(The First Building Company of Nanchang City, Nanchang 330008, China)
Abstract:A general solution with complex series is constructed to solve the bending case of rectangular plates on Winkler elastic foundation.The displacements and inner forces were in the same simple form and the solution can be used to solve different continuous boundary conditions.A case of a rectangular plate with four clamped boundary conditions under the uniform load has been calculated.The numerical solution showed that the solution with complex-series has good construction.
Keywords:rectangular plate  elastic foundation  theoretical solution  complex series
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