| 矩形弹性薄板大挠度问题的控制方程及摄动展开 |
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| 引用本文： | 郭毅.矩形弹性薄板大挠度问题的控制方程及摄动展开[J].四川理工学院学报(自然科学版),1994(1). |
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| 作者姓名： | 郭毅 |
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| 摘 要： | 本文放弃薄板大挠度问题的ＶｏｎＫａｒｍａｎ方程，引入板中面体积应变ｅ及弯矩ｍ＝ｍｘ＋ｍｙ，重新导出了薄板大挠度问题的控制方程组。并以四边固定矩形板受均布载荷的大挠度为例给出了用摄动法求解的各级摄动展开表达式。
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| 关 键 词： | 薄板 大挠度 控制方程 摄动展开 |
THE GOVERNING PARTIAL DIFFERENTIAL EQUATIONS AND PERTURBATION SOLUTION OF NONLINEAR BENDING OFTHIN RECTANGULAR PLATE |
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| Guo Yi.THE GOVERNING PARTIAL DIFFERENTIAL EQUATIONS AND PERTURBATION SOLUTION OF NONLINEAR BENDING OFTHIN RECTANGULAR PLATE[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,1994(1). |
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| Authors: | Guo Yi |
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| Institution: | Dept.of Mechanical Engineering |
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| Abstract: | A problem of nonlinear bending of thin rectangular plates is dealt with in the paper.The coupled nonlinear governing partial differential equations interms of displacements are obtained by use of dilatation function,and bending moments.Then by taking use of perturbation technique the uncoupled nonlinear governing partial differential equations turns further into a series of uncoupled linear partial differential equa tations.An example of the problem of nonlinear bending of rectangular plate subjected to uniformly distributed transverse load with the fixed boundary supports is given. |
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| Keywords: | thin rectangular plates large deflection governing partial differential equations Perturbation |
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