| 悬臂中厚矩形板的非线性弯曲 |
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| 引用本文： | 苏文兰,杨健,赵涛.悬臂中厚矩形板的非线性弯曲[J].上海交通大学学报,2001,35(10):1497-1502. |
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| 作者姓名： | 苏文兰 杨健 赵涛 |
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| 作者单位： | 上海交通大学建筑工程与力学学院, |
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| 摘 要： | 基于Reissner-Mindlin一阶剪切变形板理论，选取满足位移的边界条件，并以级数形式表示挠度函数。采用摄动法，把大挠度非线性方程组化为一系列线性方程组，然后用Rayleigh-Ritz法确定位移函数中的待定系数，给出悬臂中厚板矩形板非线性弯曲问题的大挠度渐近解。同时，给出了数值算例及参数分析，讨论了板长宽比、宽厚比以及载荷形式对板载荷－挠度曲线及载荷－弯矩曲线的影响。
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| 关 键 词： | 矩形悬臂板 中厚板 非线性弯曲 摄动法 Rayleigh－Ritz法 |
| 文章编号： | 1006-2467(2001)10-1497-05 |
| 修稿时间： | 2000年7月10日 |
Nonlinear Bending of Cantilevered Moderately Thick Rectangular Plates |
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| SU Wen-lan,YANG Jian,ZHAO Tao.Nonlinear Bending of Cantilevered Moderately Thick Rectangular Plates[J].Journal of Shanghai Jiaotong University,2001,35(10):1497-1502. |
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| Authors: | SU Wen-lan YANG Jian ZHAO Tao |
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| Abstract: | A nonlinear bending analysis of a cantilevered moderately thick rectangular plate subjected to a transverse uniform pressure or a concentrated load was presented. The formulations are based on Reissner-Mindlin plate theory, considering the first-order shear deformation effect. The analysis uses perturbation technique in conjunction with Rayleigh-Ritz method to determine the load-deflection and load-bending moment curves. A comparison study and a parametric study are carried out to show the effects of plate aspect ratio and thickness-to-width ratio as well as the transverse load on the load-deflection and load-bending moment curves. |
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| Keywords: | rectangular cantilevered plate moderately thick plate nonlinear bending perturbation technique Rayleigh-Ritz method |
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