| 支座位移作用下三边支承矩形板弯曲统一解法 |
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| 引用本文： | 陈桂香,姬鸿恩,宋春燕.支座位移作用下三边支承矩形板弯曲统一解法[J].河南科技大学学报(自然科学版),2004,25(2):78-82. |
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| 作者姓名： | 陈桂香 姬鸿恩 宋春燕 |
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| 作者单位： | 1. 同济大学,地下建筑与结构工程系,上海,200092
2. 郑州工程学院,建筑工程系,河南,郑州,450052 |
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| 摘 要： | 提出了统一的三边支承矩形薄板弯曲挠度表达式，可以解决三边支承矩形板在边界发生任意支座位移时的弯曲变形。该方法首先建立切合板边界条件和角点位移的弯曲挠度表达式，然后利用级数的正交性将非三角函数在相应区间上展成相应的三角级数，并比较级数的各项，形成以待定系数为未知项的线性方程，最终解决问题。该求解思路清晰，收敛速度快，计算精度高，适用范围广。
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| 关 键 词： | 三边支承矩形板 弯曲统一解法 节点位移 矩形薄板 |
| 文章编号： | 1672-6871(2004)02-0078-05 |
| 修稿时间： | 2003年12月26 |
United Solution Method of Rectangular Slab Bending with Three Edges Supports in Joint Displacements |
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| CHEN Gui-Xiang,JI Hong-En,SONG Chun-Yan.United Solution Method of Rectangular Slab Bending with Three Edges Supports in Joint Displacements[J].Journal of Henan University of Science & Technology:Natural Science,2004,25(2):78-82. |
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| Authors: | CHEN Gui-Xiang JI Hong-En SONG Chun-Yan |
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| Institution: | CHEN Gui-Xiang~1,JI Hong-En~2,SONG Chun-Yan~2 |
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| Abstract: | A united equation for the bending deflection of rectangular slab with three edges supports and one free edge was proposed.It can be used to solve the bending deflection of the slab in any joint displacements,that is:first establishing the deflection equation fitting in the boundary conditions and joint displacements,then expanding the trigonometric function to the trigonometric series in relative interval,and comparing the every terms of the series so as to form linear equation with the unknown terms being the waiting coefficients,at last solving the equation.The results got by the method are as well as that by the finite element.These showed that the method has quick convergent speed,high computing precision and wide scopes in use. |
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| Keywords: | Thin plates Bending Joint displacement Rectangular slabs |
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