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提出了求解具有不确定性复合材料层合板屈曲载荷的一种处理方法———区间分析法。区间分析法是基于区间数学和泰勒展开的一种处理不确定性的方法。区间分析法不需要知道不确定变量的概率统计特性,只要较少的材料物理特性信息,即不确定变量的上界和下界,加上较简单的计算就可以得出结构响应的变化区间。在样本比较小,概率统计特性不明显,从而通常的概率统计方法不能有效应用时,区间分析仍然有效。文中针对四边简支的特殊正交层合板以及反对称角铺设层合板的屈曲载荷,用概率算法和区间算法分别进行了计算与比较。
A method of solving the buckling load of composite laminates with uncertainty is proposed. Interval analysis is based on interval mathematics and Taylor expansion of a way to deal with uncertainty. Interval analysis does not need to know the probability statistical properties of uncertain variables, as long as less physical properties of material information, that is, the upper and lower bounds of uncertain variables, coupled with simpler calculations can be obtained structural response change interval. Interval analysis is still valid when the sample size is small and the probability and statistics properties are not obvious so that the usual probability and statistics methods can not be applied effectively. In this paper, the buckling loads of special orthogonal laminates with simple support on four sides and anti-symmetric corner laying laminates are respectively calculated and compared by probability and interval algorithms.