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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 7360615, 12 pages
Research Article

Reliability-Based Multidisciplinary Design Optimization under Correlated Uncertainties

School of Mechatronics Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China

Correspondence should be addressed to Huanwei Xu

Received 14 June 2017; Revised 30 July 2017; Accepted 17 September 2017; Published 18 October 2017

Academic Editor: Matteo Bruggi

Copyright © 2017 Huanwei Xu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Complex mechanical system is usually composed of several subsystems, which are often coupled with each other. Reliability-based multidisciplinary design optimization (RBMDO) is an efficient method to design such complex system under uncertainties. However, the present RBMDO methods ignored the correlations between uncertainties. In this paper, through combining the ellipsoidal set theory and first-order reliability method (FORM) for multidisciplinary design optimization (MDO), characteristics of correlated uncertainties are investigated. Furthermore, to improve computational efficiency, the sequential optimization and reliability assessment (SORA) strategy is utilized to obtain the optimization result. Both a mathematical example and a case study of an engineering system are provided to illustrate the feasibility and validity of the proposed method.