基于非嵌入多项式混沌方法的非光滑系统不确定度量化模型设计

Design of Uncertainty Quantification Model of Non-smooth System Based on Non-embeded Polynomial Chaos Method

提出一种基于非嵌入多项式混沌方法的非光滑系统不确定度量化模型设计方法。该方法首先对非嵌入多项式混沌方法的数学理论基础进行了介绍,结合多项式混沌方法数学理论基础利用不确定度量化模型参数的概率密度信息,对不确定度量参数的概率分布进行模型设计完成对非嵌入多项式混沌方法的非光滑系统不确定度量化模型设计。利用数值例子表明,该方法在非光滑系统不确定度量化模型设计中的有效性,说明在工程设计中具有广泛的实用价值。

In this paper,the design method of non-smooth system uncertainty quantification model based on non-embedded polynomial chaos method is proposed. This method first mathematics theory foundation to the method of the embedded polynomial chaos are introduced,using the method of polynomial chaos mathematics theory using a quantitative model for the uncertainty of parameter probability density of information,the probability distribution of parameters of uncertainty measurement model designed for the embedded polynomial chaos method of nonsmooth system uncertainty quantification model design. Using numerical examples show that the proposed method in a nonsmooth system effectiveness of uncertainty quantification model design,has extensive practical value in engineering design.