中文摘要：

为获得加筋板结构极限强度的统计规律,考虑结构材料、尺寸及初始缺陷的随机性（其数值可以认为是满足某种分布规律的随机量）,采用Monte Carlo结合非线性有限元进行强度的研究。在验证非线性有限元准确性的基础上,取结构尺寸、初始缺陷幅值、材料参数为随机变量,采用数值实验、最大熵法及K-S检验拟合获得极限强度的概率密度函数。结果表明,在较少样本时最大熵法可准确获得统计规律,为结构可靠性分析中复杂结构抗力模型的研究提供参考。

英文摘要：

In order to gain the stochastic characteristic of the stiffened plate ultimate strength, considering the random feature of structure material, size and initial imperfections （the number can be considered as＇ random quantity which meet a certain distribution rule）, the stiffness is studied based on the Monte Carlo simulation and nonlinear finite element method （NLFEM）. Based on the verification of the NLFEM,, taking the material size, initial imperfections value and material parameter as the random variables, the probability density function is gained by the means of Maximum Entropy method checked by K-S test using numerical experiment. The results show that the stochastic characteristic can be obtained by Maximum Entropy under small number of samples. The method presented in this paper can provide some references to the statistic study of complex structure resistance in the structure reliability analysis.