A multi-mesh strategy for continuum topology optimization under correlated uncertainties

James K. Guest, Alireza Asadpoure, Takeru Igusa

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A multi-mesh strategy is employed to reduce the computational costs associated with incorporating correlated uncertainties into structural topology optimization problems. Uncertainty quantification is achieved through an existing perturbation-based method. This method transforms uncertainties in stiffness, such as geometric and material property randomness, into an augmented deterministic topology optimization problem. Although the approach has proven quite efficient in general, the uncertainty sources are tied to the finite element analysis mesh. Computational costs then rise significantly when refining the finite element mesh in the presence of correlated random variables. We therefore propose separating the analysis and uncertainty mesh. The technique is evaluated on problems of expected stiffness with uncertainties in elastic modulus and compared to solutions found using the standard perturbation and Monte Carlo topology optimization algorithms.

Original languageEnglish (US)
Title of host publication13th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference 2010
DOIs
StatePublished - Dec 1 2010
Event13th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, MAO 2010 - Ft. Worth, TX, United States
Duration: Sep 13 2010Sep 15 2010

Publication series

Name13th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference 2010

Other

Other13th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, MAO 2010
CountryUnited States
CityFt. Worth, TX
Period9/13/109/15/10

ASJC Scopus subject areas

  • Aerospace Engineering
  • Mechanical Engineering

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  • Cite this

    Guest, J. K., Asadpoure, A., & Igusa, T. (2010). A multi-mesh strategy for continuum topology optimization under correlated uncertainties. In 13th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference 2010 (13th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference 2010). https://doi.org/10.2514/6.2010-9328