引用本文: 陈玉骥, 罗旗帜. 开口薄壁压杆考虑剪滞效应和几何非线性的临界荷载[J]. 力学与实践, 2012, 34(3): 29-31,35.
CHEN Yuji, LUO Qizhi. THE CRITICAL LOAD OF THE OPEN THIN-WALLED COMPRESS BAR IN CONSIDERATION OF SHEAR LAG EFFECT AND GEOMETRY NONLINEARITY[J]. MECHANICS IN ENGINEERING, 2012, 34(3): 29-31,35.
 Citation: CHEN Yuji, LUO Qizhi. THE CRITICAL LOAD OF THE OPEN THIN-WALLED COMPRESS BAR IN CONSIDERATION OF SHEAR LAG EFFECT AND GEOMETRY NONLINEARITY[J]. MECHANICS IN ENGINEERING, 2012, 34(3): 29-31,35.

## THE CRITICAL LOAD OF THE OPEN THIN-WALLED COMPRESS BAR IN CONSIDERATION OF SHEAR LAG EFFECT AND GEOMETRY NONLINEARITY

• 摘要: 针对上翼缘和下翼缘, 假设不同的剪力滞翘曲位移函数, 导出了薄壁压杆的能量泛函. 基于最小势能原理, 对开口薄壁压杆考虑剪力滞效应和几何非线性的稳定性进行了分析, 推导了压杆的特征方程, 并求出了简支压杆考虑剪力滞效应的临界荷载以及欧拉公式的修正系数, 讨论了翼缘宽度、厚度和压杆长度以及几何非线性对临界荷载修正系数的影响, 说明了欧拉临界荷载公式的适用条件.

Abstract: Different shear warp displacement functions are assumed for the top flanges and bottom flanges. The energy function for the open thin-walled compress bar is obtained. Based on the minimum potential energy principle, the characteristic equation of the compress bar is derived. The critical load and the correct coefficient for Eular formula of the simple-supported compress bar are calculated. The influence of the width, the thickness of the flange and the span of the compress bar as well as the geometry nonlinearity on the corrent coefficient of the critical load is discussed. The conditions for the applications of Eular critical load formula are discussed.

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