含损伤复合材料剩余弹性模量预测的不确定分析

Uncertain analysis for the prediction of residual elastic modulus of damaged composite

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。

To overcome the limitation of traditional probabilistic statistical method, two non-probabilistic methods to research the residual elastic modulus of the damaged composite with uncertainties were presented. In the non-probabilistic methods, uncertain variables were described as interval numbers or convex sets, and then the interval range of residual elastic modulus could be obtained by means of Taylor expansion and interval calculation. The main advantages of non-probabilistic methods are that the needed uncertain information is decreased; the methods are simple, easily applicable and the results are highly precise. Through two cases of a numerical example, the residual elastic modulus of damaged composite with uncertainties were calculated using the presented non-probabilistic methods. The results indicate that when the information of uncertain parameters is less, using the presented methods can obtain satisfying results for the uncertain problem.