A novel stochastic collocation method for uncertainty propagation in complex mechanical systems

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	A novel stochastic collocation method for uncertainty propagation in complex mechanical systems
	Qi WuChao 1; Tian SuMei 1; Qiu ZhiPing 2
刊名	SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY
	2015
卷号	58 期号:2
关键词	RELIABILITY-ANALYSIS POLYNOMIAL CHAOS DIFFERENTIAL-EQUATIONS DECOMPOSITION CONVERGENCE SPEED uncertainty propagation stochastic collocation method equivalent weak form guided surface statistics
ISSN号	1674-7348
其他题名	A novel stochastic collocation method for uncertainty propagation in complex mechanical systems
英文摘要	This paper presents a novel stochastic collocation method based on the equivalent weak form of multivariate function integral to quantify and manage uncertainties in complex mechanical systems. The proposed method, which combines the advantages of the response surface method and the traditional stochastic collocation method, only sets integral points at the guide lines of the response surface. The statistics, in an engineering problem with many uncertain parameters, are then transformed into a linear combination of simple functions' statistics. Furthermore, the issue of determining a simple method to solve the weight-factor sets is discussed in detail. The weight-factor sets of two commonly used probabilistic distribution types are given in table form. Studies on the computational accuracy and efforts show that a good balance in computer capacity is achieved at present. It should be noted that it's a non-gradient and non-intrusive algorithm with strong portability. For the sake of validating the procedure, three numerical examples concerning a mathematical function with analytical expression, structural design of a straight wing, and flutter analysis of a composite wing are used to show the effectiveness of the guided stochastic collocation method.
资助项目	[Defense Industrial Technology Development Program] ; [National Natural Science Foundation of China]
语种	英语
CSCD记录号	CSCD:5386338
内容类型	期刊论文
源URL	[http://ir.imr.ac.cn/handle/321006/150122]
专题	金属研究所_中国科学院金属研究所
作者单位	1.中国科学院金属研究所 2.Beijing Univ Aeronaut & Astronaut, Institute Solid Mech, Beijing 100191, Peoples R China
推荐引用方式 GB/T 7714	Qi WuChao,Tian SuMei,Qiu ZhiPing. A novel stochastic collocation method for uncertainty propagation in complex mechanical systems[J]. SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY,2015,58(2).
APA	Qi WuChao,Tian SuMei,&Qiu ZhiPing.(2015).A novel stochastic collocation method for uncertainty propagation in complex mechanical systems.SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY,58(2).
MLA	Qi WuChao,et al."A novel stochastic collocation method for uncertainty propagation in complex mechanical systems".SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY 58.2(2015).