Uncertainty quantification of composite structures with defects using multilevel monte carlo simulations
Uncertainty quantification of composite structures with defects using multilevel monte carlo simulations
复制标题
DOI：
10.2514/6.2015-1598
复制
发表时间：
2015-01
期刊：
影响因子：
--
通讯作者：
R. Butler;T. Dodwell;Tatiana Kim;S. Kynaston;Robert Scheichl;R. Haftka;Nam-Ho Kim
中科院分区：
文献类型：
--
作者：
R. Butler;T. Dodwell;Tatiana Kim;S. Kynaston;Robert Scheichl;R. Haftka;Nam-Ho Kim
本文展示了巨大的计算增益时，使用一种新的多级蒙特卡罗方法的一个典型的航空航天模型问题。为了证明收益，我们量化的复合材料机翼蒙皮面板的结构性能与三种类型的随机制造缺陷（铺层角扰动和两类局部纤维波纹）。我们介绍了多级蒙特卡罗方法在一个抽象的方式，使它可以很容易地应用到其他类似的问题。我们从理论上帕雷它的复杂性，标准的蒙特卡罗模拟，并提供了一个简单的实现实用的算法。在我们的模型问题中，针对所有类型缺陷的数值实验证实了理论预测的增益，计算速度提高了152倍，将原本不可想象的问题带入了可行范围。
This paper demonstrates the huge computational gains achieved when using a novel mulffitilevel Monte Carlo methodology for a typical aerospace model problem. To demonstrate the gains, we quantify the structural performance of a composite wing skin panel with three types of random manufacturing defects (ply angle perturbations and two classes of localised fibre waviness). We introduce the multilevel Monte Carlo method in an abstract way so that it could easily be applied also to other similar problems. We theoretically com- pare its complexity to standard Monte Carlo simulation and provide a simple-to-implement practical algorithm. Numerical experiments for all types of defects in our model problem confirm the theoretically predicted gains with as much as 152-fold computational speed-ups, bringing problems that would otherwise be unthinkable into the feasible range.