| 弹性地基连续板的三弯矩方程 |
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| 引用本文： | 钱勤,黄玉盈,乐东义.弹性地基连续板的三弯矩方程[J].华中科技大学学报(自然科学版),1997(6). |
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| 作者姓名： | 钱勤 黄玉盈 乐东义 |
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| 作者单位： | 华中理工大学力学系 |
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| 摘 要： | 借助单跨弹性地基板弯曲方程的标准解答组，方便地导出了两对边简支弹性地基连续板的三弯矩方程．推导过程中，根据两对边简支的边界条件，同时还利用板中间支座处的变形连续条件，将板的挠度沿ｙ方向展成正弦级数．因导得的连续板三弯矩方程给计算带来了很大方便，故在工程设计中有重要应用．另外，提出的推导方法不仅概念清晰，而且容易推广到解决正交异性连续板的三弯矩方程
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| 关 键 词： | 连续矩形板 弹性地基 三弯矩方程 |
Three Moment Equations for the Continuous Plate on an Elastic Foundation |
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| Qian Qin Ph.
D., Dept. of Mech.,HUST,Wuhan ,China.
Huang Yuying Yue Dongyi.Three Moment Equations for the Continuous Plate on an Elastic Foundation[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1997(6). |
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| Authors: | Qian Qin Ph
D Dept of Mech HUST Wuhan China
Huang Yuying Yue Dongyi |
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| Institution: | Qian Qin Ph.
D., Dept. of Mech.,HUST,Wuhan 430074,China.
Huang Yuying Yue Dongyi |
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| Abstract: | Based on a set of standard solutions to the moment
equations for a singly spanned rectangular plate, a general method is presented to derive the
three moment equation for a continuous rectangular plate with two simply supported opposite
edges on an elastic foundation. During derivation, the condition for deformation continuity at the
middle supports of the plate is used and the deflection of plate is expanded into sine series along
the y axis. The three moment equation obtained has greatly facilitated the calculation. |
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| Keywords: | continuous rectangular plate elastic foundation three moment equation |
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