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Investigation and improvement of sensitivity computation using the area-fraction weighted fixed grid FEM and structural optimization


Reference:

Dunning, P. D., Kim, H. A. and Mullineux, G., 2011. Investigation and improvement of sensitivity computation using the area-fraction weighted fixed grid FEM and structural optimization. Finite Elements in Analysis and Design, 47 (8), pp. 933-941.

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    Official URL:

    http://dx.doi.org/10.1016/j.finel.2011.03.006

    Abstract

    Boundary based structural optimization methods often employ a fixed grid FEM to compute sensitivities for efficiency and simplicity. A simple and popular fixed grid approach is to modify the stiffness of elements intersected by the boundary by an area-fraction weighting. However, poor sensitivities and numerical instabilities can occur when using this method. Sensitivity computation for a compliance objective is investigated and the results are used to develop a weighted least squares scheme to improve sensitivities computed by the area-fraction approach. This is implemented to gether with a numerically stable structural topology optimization using the level set method with no additional filtering or regularization. The performance of the proposed scheme is demonstrated by classic benchmark examples of topology optimization.

    Details

    Item Type Articles
    CreatorsDunning, P. D., Kim, H. A. and Mullineux, G.
    DOI10.1016/j.finel.2011.03.006
    Uncontrolled Keywordsstructural topology optimization, fixed grid, level set method, least squares method, sensitivity computation, area-fraction weighting
    DepartmentsFaculty of Engineering & Design > Mechanical Engineering
    Research CentresAerospace Engineering Research Centre
    RefereedYes
    StatusPublished
    ID Code24198

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