Stochastic ultimate load analysis: Models and solution methods

F. Tin-Loi, Liqun Qi, Z. Wei, R. S. Womersley

Research output: Journal article publicationJournal articleAcademic researchpeer-review

5 Citations (Scopus)


The stochastic ultimate load analysis model used in the safety analysis of engineering structures can be treated as a special case of chance-constrained problems (CCP) which minimize a stochastic cost function subject to some probabilistic constraints. Some special cases (such as a deterministic cost function with probabilistic constraints or deterministic constraints with a random cost function) for ultimate load analysis have alrady been investigated by various researchers. In this paper, a general probabilistic approach to stochastic ultimate load analysis is given. In doing so, some approximation techniques are needed due to the fact that the problems at hand are too complicated to evaluate precisely. We propose two extensions of the SQP method in which the variables appear in the algorithms inexactly. These algorithms are shown to be globally convergent for all models and locally superlinearly convergent for some special cases.
Original languageEnglish
Pages (from-to)1029-1043
Number of pages15
JournalNumerical Functional Analysis and Optimization
Issue number9-10
Publication statusPublished - 1 Jan 1996
Externally publishedYes


  • Chance-constrained problems
  • Inexact SQP method
  • Stochastic programming
  • Ultimate load analysis

ASJC Scopus subject areas

  • Analysis
  • Signal Processing
  • Computer Science Applications
  • Control and Optimization


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