加筋板整体屈曲临界应力计算与分析

利用解析法对加筋板稳定性进行了研究,忽略材料非线性的影响,利用理论方法求解四边简支加筋板的整体屈曲临界应力。对有一根加强筋的加筋板,定义板的挠曲函数,将其代入边界方程和协调方程,求解线性方程组的特征方程得到加筋板的临界应力。对有2根或多根加强筋的规则加筋板,利用能量法导出统一计算的公式得到临界应力。最后,利用有限元软件Abaqus和Nastran进行数值仿真,与理论解比较后得出本文计算方法是正确的,可以准确求解加筋板的稳定性问题。

Computational Analysis on the Critical Stress of Stiffened Plates' Overall Buckling

The paper used analytical method to deal with the stability problem of stiffened plates,by ignoring the influence of material's nonlinearity,it employed theoretical method to resolve critical buckling stress of stiffened rectangular plate with simplified supporting.For single stiffened plate,the deflection function was defined and introduced to boundary equation and coordinate equation,which acquired the critical stress of stiffened plate by solving linear equations.For plate with two or more stiffeners,the...