Efficient algorithm for stochastic structural optimization

Sankaran Mahadevan, Achintya Haldar

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13 Scopus citations


A stochastic structural optimization procedure using element-level reliabilities as constraints is proposed here. The procedure is robust and efficient and closely resembles the practical approach used in design offices. The procedure is developed in modules which can be linked and unlinked. Element-level reliabilities are estimated using the stochastic finite element method or Monte Carlo simulation with variance reduction techniques whenever necessary. The method can consider different limit states with different desired levels of reliability as well as the systemreliability as constraints, resulting in a balanced distribution of weight. A constrained optimization algorithm is used which is tailored to the information and the requirements of the structural optimization problem considered here. The algorithm contains a simple and efficient search procedure that uses variable, discrete step sizes. Several alternatives for reliability analysis and trial structure selection, and strategies for reduction of the number of constraints are included and explained with the help of numerical examples to show the desirability of the proposed method

Original languageEnglish (US)
Pages (from-to)1579-1598
Number of pages20
JournalJournal of Structural Engineering (United States)
Issue number7
Publication statusPublished - 1989


ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Mechanical Engineering
  • Mechanics of Materials
  • Building and Construction
  • Materials Science(all)

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