Robust topology optimisation for expected compliance and variance using level-set method

Peter D. Dunning, H. Alicia Kim

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

2 Citations (Scopus)

Abstract

This paper introduces variance into the robust compliance topology optimization problem where there is uncertainty in loading magnitude. An analytical formulation for compliance variance is derived and shape sensitivities for the level set optimization method are obtained using the adjoint method. Variance is combined with expected compliance to pose a robust optimization problem that aims to minimize a weighted combination of average and variability of compliance. The proposed approach is demonstrated and investigated using two examples that display contrasting behavior.

Original languageEnglish
Title of host publication53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
ISBN (Print)9781600869372
Publication statusPublished - 2012
Event53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012 - Honolulu, HI, United States
Duration: 23 Apr 201226 Apr 2012

Conference

Conference53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012
CountryUnited States
CityHonolulu, HI
Period23/04/1226/04/12

Fingerprint

Shape optimization
topology
optimization
formulations
sensitivity
Compliance

ASJC Scopus subject areas

  • Aerospace Engineering
  • Mechanical Engineering
  • Materials Science(all)
  • Surfaces and Interfaces

Cite this

Dunning, P. D., & Alicia Kim, H. (2012). Robust topology optimisation for expected compliance and variance using level-set method. In 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012 American Institute of Aeronautics and Astronautics Inc..

Robust topology optimisation for expected compliance and variance using level-set method. / Dunning, Peter D.; Alicia Kim, H.

53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012. American Institute of Aeronautics and Astronautics Inc., 2012.

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

Dunning, PD & Alicia Kim, H 2012, Robust topology optimisation for expected compliance and variance using level-set method. in 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012. American Institute of Aeronautics and Astronautics Inc., 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012, Honolulu, HI, United States, 23/04/12.
Dunning PD, Alicia Kim H. Robust topology optimisation for expected compliance and variance using level-set method. In 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012. American Institute of Aeronautics and Astronautics Inc. 2012
Dunning, Peter D. ; Alicia Kim, H. / Robust topology optimisation for expected compliance and variance using level-set method. 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012. American Institute of Aeronautics and Astronautics Inc., 2012.
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