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论文类型：期刊论文

发表时间：2009-12-01

发表刊物：JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY

收录刊物：SCIE、EI

卷号：23

期号：12

页面范围：3199-3208

ISSN号：1738-494X

关键字：Non-probabilistic; Interval analysis; Uncertainty analysis; Robust design optimization

摘要：A technique for formulation of the objective and constraint functions with uncertainty plays a crucial role in robust design optimization. This paper presents the first application of interval methods for reformulating the robust optimization problem. Based on interval mathematics, the original real-valued objective and constraint functions are replaced with the interval-valued functions, which directly represent the upper and lower bounds of the new functions under uncertainty. The single objective function is converted into two objective functions for minimizing the mean value and the variation, and the constraint functions are reformulated with the acceptable robustness level, resulting in a bi-level mathematical model. Compared with other methods, this method is efficient and does not require presumed probability distribution of uncertain factors or gradient or continuous information of constraints. Two numerical examples are used to illustrate the validity and feasibility of the presented method.