单根加筋板整体屈曲临界应力计算与分析

目前,对加筋板稳定性的研究多采用有限元法,缺乏理论指导。本文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。对有单根加强筋的加筋板,首先假设板的挠曲函数,接着将其代入板和加强筋的边界方程和协调方程,最后解线性方程组的特征方程得到加筋板的临界应力计算公式。为了验证该公式正确与否,选取多个算例,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推导的公式是正确的,并得出临界应力随γ和δ的变化趋势。

Calculating and analysising of the overall buckling's critical stress of single stiffened panels

Now about stiffened panel's stability research,there were more using finite element method,which was lack of theory's support.The paper ignoring the material nonlinear influence,theoretics method were employed to resolve critical buckling stress of stiffened rectangular panel.The hypotheses buckling equation of the panels with singular stiffener were substituted to boundary condition and corresponding deformational equation of panel and stiffener,finally the critical stress calculating formula of the stiffe...