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

Peter D. Dunning; H. Alicia Kim

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

Peter D. Dunning, H. Alicia Kim

Engineering

University of Bath

Research output: Chapter in Book/Report/Conference proceeding › Published conference 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 language	English
Title of host publication	53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012
Publisher	American Institute of Aeronautics and Astronautics Inc.
ISBN (Print)	9781600869372
Publication status	Published - 2012
Event	53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012 - Honolulu, HI, United States Duration: 23 Apr 2012 → 26 Apr 2012

Conference

Conference	53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012
Country/Territory	United States
City	Honolulu, HI
Period	23/04/12 → 26/04/12

Cite this

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 proceeding › Published conference 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.

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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.",

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AB - 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.

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M3 - Published conference contribution

AN - SCOPUS:84881388688

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BT - 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012

PB - American Institute of Aeronautics and Astronautics Inc.

T2 - 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012

Y2 - 23 April 2012 through 26 April 2012

ER -

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

Abstract

Conference

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