Robust topology optimization has long been considered computationally intractable as it combines two highly expensive computational strategies. This paper considers simultaneous minimization of expectancy and variance of compliance in the presence of uncertainties in loading magnitude, using exact formulations and analytically derived sensitivities. It shows that only a few additional load cases are required, which scales in polynomial time with the number of uncertain load cases. The approach is implemented using the level set topology optimization method. Shape sensitivities are derived using the adjoint method. Several examples are used to investigate the effect of including variance in robust compliance optimization.


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    Title :

    Robust Topology Optimization: Minimization of Expected and Variance of Compliance


    Contributors:

    Published in:

    AIAA Journal ; 51 , 11 ; 2656-2664


    Publication date :

    2013-09-25


    Size :

    9 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English






    Robust Topology Optimisation for Expected Compliance and Variance Using Level-Set Method

    Dunning, P. / Kim, H. / American Institute of Aeronautics and Astronautics | British Library Conference Proceedings | 2012