Introducing uncertainty in direction of loading for topology optimization

Peter D. Dunning, H. Alicia Kim, Glen Mullineux

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

6 Citations (Scopus)

Abstract

Uncertainty is an important consideration in structural design and optimization to produce robust and reliable solutions. Existing methods that include loading direction uncertainty in structural topology optimization may not represent realistic uncertainties or employ a discrete sampling approach that approximates the effect of the uncertainty. The sampling approach can become computationally expensive when an accurate approximation is required. An efficient and accurate approach is developed in this paper when solving the minimization of expected compliance problem with uncertain direction of applied loading. This new approach is analogous to a multiple load case problem where load cases and weights are derived explicitly to compute exactly the expected compliance and sensitivities. The approach is then broadened to include uncertainty in magnitude of loading without penalizing efficiency. Illustrative examples using a level set based topology optimization method are then used to demonstrate the proposed approach.

Original languageEnglish
Title of host publicationCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
ISBN (Print)9781600867422
Publication statusPublished - 2010
Event51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference - Orlando, FL, United States
Duration: 12 Apr 201015 Apr 2010

Conference

Conference51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
CountryUnited States
CityOrlando, FL
Period12/04/1015/04/10

Fingerprint

Shape optimization
Structural optimization
Sampling
Structural design
Uncertainty
Compliance

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Mechanics of Materials
  • Building and Construction
  • Architecture

Cite this

Dunning, P. D., Kim, H. A., & Mullineux, G. (2010). Introducing uncertainty in direction of loading for topology optimization. In Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference [2010-2843] American Institute of Aeronautics and Astronautics Inc..

Introducing uncertainty in direction of loading for topology optimization. / Dunning, Peter D.; Kim, H. Alicia; Mullineux, Glen.

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. American Institute of Aeronautics and Astronautics Inc., 2010. 2010-2843.

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

Dunning, PD, Kim, HA & Mullineux, G 2010, Introducing uncertainty in direction of loading for topology optimization. in Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference., 2010-2843, American Institute of Aeronautics and Astronautics Inc., 51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Orlando, FL, United States, 12/04/10.
Dunning PD, Kim HA, Mullineux G. Introducing uncertainty in direction of loading for topology optimization. In Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. American Institute of Aeronautics and Astronautics Inc. 2010. 2010-2843
Dunning, Peter D. ; Kim, H. Alicia ; Mullineux, Glen. / Introducing uncertainty in direction of loading for topology optimization. Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. American Institute of Aeronautics and Astronautics Inc., 2010.
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