Published Papers
     Search Papers (Springer,
   After 2008)
     Search Papers (Dbpia,
   Until 2007)
     Search Papers (JMST
   own data base)
       - Classification By Year   
       - Classification By Topic
     Special Issues
   
           
   
 
 
Subject Keyword Abstract Author
 
 
A novel non-probabilistic approach using interval analysis for robust design optimization

Wei Sun/Rongmei Dong/Huanwei Xu
The Journal of Mechanical Science and Technology, vol. 23, no. 12, pp.3199-3208, 2009

Abstract : 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.

Keyword : Non-probabilistic; Interval analysis; Uncertainty analysis; Robust design optimization

 
 
 
 
 
JMST Editorial Office: #702 KSTC New Bldg, 22 7-gil, Teheran-ro, Gangnam-gu, Seoul 06130, Korea
TEL: +82-2-501-3605, E-mail: editorial@j-mst.org
JMST Production Office: #702 KSTC New Bldg, 22 7-gil, Teheran-ro, Gangnam-gu, Seoul 06130, Korea
TEL: +82-2-501-6056, FAX: +82-2-501-3649, E-mail: editorial@j-mst.org