Theoretical Analysis and Finite Element Computing for Rectangular Plates Bucking under Shear Load

CHEN Yan-zhou; GUO Yao-jie

doi:10.11835/j.issn.1674-4764.2008.01.015

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Theoretical Analysis and Finite Element Computing for Rectangular Plates Bucking under Shear Load

更新时间：2023-11-28

- Theoretical Analysis and Finite Element Computing for Rectangular Plates Bucking under Shear Load
- Journal of Civil and Environmental Engineering Vol. 30, Issue 1, Pages: 54-62(2008)
- 作者机构：
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- DOI：10.11835/j.issn.1674-4764.2008.01.015
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- Published：2008
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CHEN Yan-zhou, GUO Yao-jie. Theoretical Analysis and Finite Element Computing for Rectangular Plates Bucking under Shear Load[J]. Journal of Civil and Environmental Engineering, 2008, 30(1): 54-62.
DOI：

CHEN Yan-zhou, GUO Yao-jie. Theoretical Analysis and Finite Element Computing for Rectangular Plates Bucking under Shear Load[J]. Journal of Civil and Environmental Engineering, 2008, 30(1): 54-62. DOI： 10.11835/j.issn.1674-4764.2008.01.015.

摘要

分别采用能量法和有限元法两种分析方法

利用数学分析软件Matlab和有限元分析软件ANSYS

对简支矩形薄板受纯剪切的弹性失稳问题进行了详尽的分析求解。通过增加挠度函数的三角级数项

提高计算精度

增补和修正了参考文献中的临界应力K值。通过大量有限元计算和分析

拟合给出了K值表达式

并论述了将薄板在小挠度理论限定挠度值下的剪应力

作为临界剪应力的合理性。两种分析方法结果表明

有限元分析给出的K值拟合函数

在工程应用中具有更为普遍的实用意义和安全性。

Abstract

By adopting the energy and finite-element methods with analysis software MATLAB and ANSYS

a detailed and complete solution process for bucking of simply supported rectangular elastic plates is provided.By increasing the triangular series for the deflection function

the amendments have been made to the K values given in references.Through finite element analysis

the expression of K value is fitted out.It is ascertained that the shear stress

taken as a critical shear stress

is reasonable according to the small deflection theory under limited plate deflection.The results of two analytical methods show that the fitting curve of K values used by finite element analysis has more comprehensive practical significance.

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