A new method for reliability analysis and reliability-based design optimization

Alfredo Canelas*, Miguel Carrasco, Julio López

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


We present a novel method for reliability-based design optimization, which is based on the approximation of the safe region in the random space by a polytope-like region. This polytope is in its turn transformed into quite a simple region by using generalized spherical coordinates. The failure probability can then be easily estimated by considering simple quadrature rules. One of the advantages of the proposed approach is that by increasing the number of vertices, we can improve arbitrarily the accuracy of the failure probability estimation. The sensitivity analysis of the failure probability is also provided. We show that the proposed approach leads to an optimization problem, where the set of optimization variables includes all the original design variables and all the parameters that control the shape of the polytope. In addition, this problem can be solved by a single iteration scheme of optimization. We illustrate the performance of the new approach by solving several examples of truss topology optimization.

Original languageEnglish
Pages (from-to)1655-1671
Number of pages17
JournalStructural and Multidisciplinary Optimization
Issue number5
StatePublished - 15 May 2019

Bibliographical note

Funding Information:
Acknowledgements Alfredo Canelas thanks the Uruguayan Councils ANII and CSIC for the financial support.

Funding Information:
Funding information This research was supported by CONICYT-Chile, via FONDECYT project 1160894.

Publisher Copyright:
© 2019, Springer-Verlag GmbH Germany, part of Springer Nature.


  • Reliability-based design
  • Stochastic structural model
  • Truss topology optimization


Dive into the research topics of 'A new method for reliability analysis and reliability-based design optimization'. Together they form a unique fingerprint.

Cite this