A sequential sampling strategy to improve reliability-based design optimization with implicit constraint functions

Xiaotian Zhuang, Rong Pan

Research output: Contribution to journalArticle

35 Scopus citations


Reliability-based design optimization (RBDO) has a probabilistic constraint that is used for evaluating the reliability or safety of the system. In modern engineering design, this task is often performed by a computer simulation tool such as finite element method (FEM). This type of computer simulation or computer experiment can be treated a black box, as its analytical function is implicit. This paper presents an efficient sampling strategy on learning the probabilistic constraint function under the design optimization framework. The method is a sequential experimentation around the approximate most probable point (MPP) at each step of optimization process. Our method is compared with the methods of MPP-based sampling, lifted surrogate function, and nonsequential random sampling. We demonstrate it through examples.

Original languageEnglish (US)
Article number021002
JournalJournal of Mechanical Design, Transactions of the ASME
Issue number2
StatePublished - Feb 16 2012


ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design

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