Structural and Multidisciplinary Optimization

, Volume 59, Issue 4, pp 1163–1179 | Cite as

Extending SORA method for reliability-based design optimization using probability and convex set mixed models

  • Fangyi LiEmail author
  • Jie Liu
  • Guilin Wen
  • Jianhua Rong
Research Paper


In many practical applications, probabilistic and bounded uncertainties often arise simultaneously, and these uncertainties can be described by using probability and convex set models. However, the computing cost becomes unacceptable when directly solving the reliability-based design optimization (RBDO) problem with these uncertainties involved. To address this issue, in this study, a sequential sampling strategy by extending classical sequential optimization and reliability assessment (SORA) method for RBDO is developed. The proposed strategy can successively select sample points to update the surrogate model at each step of the optimization process. New samples for reliability constraints are mainly chosen from the local region around the approximate minimum performance target point (MPTP) and worst-case point (WCP). Typical design examples, including one engineering application, are investigated to demonstrate the efficiency and accuracy of the proposed method.


Reliability-based design optimization Kriging model Mixed uncertainty model Probability Convex set model 



This work was partially supported by the National Natural Science Foundation of China (11302033, 11772070, 11672104), the Open Fund of State Key Laboratory of Automotive Simulation and Control (20121105), and Scientific Research Fund of Hunan Provincial Education Department (17C0044).


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Automotive and Mechanical EngineeringChangsha University of Science and TechnologyChangshaChina
  2. 2.School of Mechanical and Electric EngineeringGuangzhou UniversityGuangzhouChina
  3. 3.State Key Laboratory of Advanced Design and Manufacture for Vehicle BodyHunan UniversityChangshaChina

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