局部和整体弯曲下加劲板半解析大挠度分析中的强度标准

Strength Criteria in Semi-Analytical,Large Deflection Analysis of Stiffened Plates in Local and Global Bending

为预测任意加劲板的极限强度,研究了可能应用于半解析方法的多种强度准则。以评估强度准则在预测平面内加载(局部和整体弯曲)下的板极限强度的适用性。利用大挠度理论和Rayleigh-Ritz方法来求解平衡方程,得到后屈曲作用下薄板的残余强度。将计算结果与具有不同板尺寸及各种规则和不规则布置的加劲肋的非线性有限元分析的结果进行对比。结果发现,在板和加劲肋的标准组合下,两者具有良好的一致性。当采用这种准则时,按所提出的求解方法可以进行非常有效而且准确的计算。

Various strength criteria that may be used in semi- analytical methods for ultimate strength prediction of arbitrarily stiffened plates are studied. The main objective is to evaluate the applicability of the criteria in ultimate strength predictions of in-plane loaded plates, both in local and global bending. The equilibrium path is traced using large deflection theory and the Rayleigh-Ritz approach on an incremental form. The approach is able to account for the reserve strength of slender plates in the postbuckling region. Results are compared with fully nonlinear finite element analyses for a variety of plate dimensions and stiffeners with regular and irregular arrangements. Good agreement is obtained with a combination of a plate and a stiffener criterion. With the considered criteria included, the method is computationally very efficient and gives rather high numerical accuracy.