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A novel stochastic collocation method for uncertainty propagation in complex mechanical systems
Alternative TitleA novel stochastic collocation method for uncertainty propagation in complex mechanical systems
Qi WuChao1; Tian SuMei1; Qiu ZhiPing2
2015
Source PublicationSCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY
ISSN1674-7348
Volume58Issue:2
AbstractThis 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.
Other AbstractThis 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.
KeywordRELIABILITY-ANALYSIS POLYNOMIAL CHAOS DIFFERENTIAL-EQUATIONS DECOMPOSITION CONVERGENCE SPEED uncertainty propagation stochastic collocation method equivalent weak form guided surface statistics
Indexed ByCSCD
Language英语
Funding Project[Defense Industrial Technology Development Program] ; [National Natural Science Foundation of China]
CSCD IDCSCD:5386338
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Document Type期刊论文
Identifierhttp://ir.imr.ac.cn/handle/321006/150120
Collection中国科学院金属研究所
Affiliation1.中国科学院金属研究所
2.Beijing Univ Aeronaut & Astronaut, Institute Solid Mech, Beijing 100191, Peoples R China
Recommended Citation
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).
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