Structural topology optimization considering correlated uncertainties in elastic modulus

Alireza Asadpoure, James K. Guest, Takeru Igusa

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

Abstract

An existing perturbation-based method is extended to consider correlated uncertainties in structural topology optimization problems. The proposed method uses perturbation technique to model uncertainties in the geometry of structures and material properties, and transforms the problem of topology optimization under uncertainty to an augmented deterministic topology optimization problem. This leads to significant computational savings when compared with Monte Carlo-based optimization, which involve multiple formations and inversions of the global stiffness matrix. We study two numerical examples to show the importance of correlation in uncertainty modeling and to verify the proposed method. Numerical examples show that results obtained from the proposed method are in excellent agreement with those obtained when using Monte Carlo-based optimization.

Original languageEnglish (US)
Title of host publication51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
StatePublished - Dec 16 2010
Event51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference - Orlando, FL, United States
Duration: Apr 12 2010Apr 15 2010

Publication series

NameCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
ISSN (Print)0273-4508

Other

Other51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
CountryUnited States
CityOrlando, FL
Period4/12/104/15/10

ASJC Scopus subject areas

  • Architecture
  • Materials Science(all)
  • Aerospace Engineering
  • Mechanics of Materials
  • Mechanical Engineering

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