| A novel stochastic collocation method for uncertainty propagation in complex mechanical systems | |
| Alternative Title | A novel stochastic collocation method for uncertainty propagation in complex mechanical systems |
| Qi WuChao1; Tian SuMei1; Qiu ZhiPing2 | |
| 2015 | |
| Source Publication | SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY
 |
| ISSN | 1674-7348 |
| Volume | 58Issue:2 |
| Abstract | 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. |
| Other Abstract | 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. |
| Keyword | RELIABILITY-ANALYSIS POLYNOMIAL CHAOS DIFFERENTIAL-EQUATIONS DECOMPOSITION CONVERGENCE SPEED uncertainty propagation stochastic collocation method equivalent weak form guided surface statistics |
| Indexed By | CSCD |
| Language | 英语 |
| Funding Project | [Defense Industrial Technology Development Program] ; [National Natural Science Foundation of China] |
| CSCD ID | CSCD:5386338 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.imr.ac.cn/handle/321006/150123 |
| Collection | 中国科学院金属研究所 |
| Affiliation | 1.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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