Journal Article10.1080/15320370108500200
A Most Probable Point-Based Method for Efficient Uncertainty Analysis
Xiaoping Du,Wei Chen +1 more
120
TL;DR: In this article, a most probable point (MPP)-based uncertainty analysis (MPPUA) method is proposed to generate the cumulative distribution function (CDF) of a system output by evaluating probability estimates at a serial of limit states across a range of output performance.
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Abstract: Uncertainty is inevitable at every stage of life cycle development of a product. To make use of probabilistic information and to make reliable decisions by incorporating decision maker's risk attitude, methods for propagating the effect of uncertainty are therefore needed. When designing complex systems, the efficiency of methods for uncertainty propagation becomes critical. In this paper, a most probable point (MPP)-based uncertainty analysis (MPPUA) method is proposed. The concept of the MPP is utilized to generate the cumulative distribution function (CDF) of a system output by evaluating probability estimates at a serial of limit states across a range of output performance. To improve the efficiency of locating the MPP, a novel MPP search algorithm is presented that employs a new search algorithm and a search strategy. A mathematical example and an engine design problem are used to verify the effectiveness of the proposed method. The proposed MPPUA method will serve as a useful tool for propa...
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Citations
Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design
Xiaoping Du,Wei Chen +1 more
- 01 Jan 2002
TL;DR: The sequential optimization and reliability assessment (SORA) as mentioned in this paper method employs a single-loop strategy, where a serial of cycles of optimization and assessment is employed, and the reliability assessment is decoupled from each other.
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Reliability-Based Design With the Mixture of Random and Interval Variables
Xiaoping Du,Agus Sudjianto,Beiqing Huang +2 more
- 01 Jan 2003
TL;DR: In this paper, a method of RBD with the mixture of random variables with distributions and uncertain variables with intervals is proposed, where the reliability is considered under the condition of the worst combination of interval variables.
271
Relative Entropy Based Method for Probabilistic Sensitivity Analysis in Engineering Design
TL;DR: In this article, a new Probabilistic Sensitivity Analysis (PSA) approach based on the concept of relative entropy is proposed for design under uncertainty, which can be applied both over the whole distribution of a performance response and in any interested partial range of a response distribution.
268
Level set based robust shape and topology optimization under random field uncertainties
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253
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