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针对传统处理不确定问题概率统计方法的局限性,提出两种非概率分析方法对具有不确定参数的含损伤复合材料剩余弹性模量问题进行研究。非概率方法将不确定变量描述为一区间数或凸集合,再利用Taylor展开及区间四则运算,便可得到含损伤复合材料剩余弹性模量的区间范围。非概率分析方法优点在于:对于不确定参数数据信息依赖性较小,计算方法简单、实用,并且精度可满足工程要求。通过一数值算例的两种情况对含损伤层合板的相对剩余弹性模量进行计算,结果表明,所提出的两种非概率方法在不确定信息较少时,可以得到令人满意的结果。
In order to overcome the limitations of traditional statistical methods for dealing with uncertainties, two non-probabilistic methods are proposed to study the residual elastic modulus of composites with uncertainties. The non-probabilistic method describes the uncertain variables as an interval number or a convex set, and then uses the Taylor expansion and the interval four operations to get the interval range of the residual elastic modulus of the damaged composite material. The advantages of non-probabilistic analysis method lie in that the method has less dependence on the uncertain parameter data and information, the calculation method is simple and practical, and the precision can meet the engineering requirements. The relative residual elastic modulus of damaged lamina is calculated by two numerical examples. The results show that the proposed two non-probabilistic methods can obtain satisfactory results when the uncertain information is small.