A new efficient and accurate approach to robust structural topology optimization is developed in this work. The objective is to minimize the expected compliance of structures under loading uncertainty. The new approach is akin to a deterministic multiple load case problem where the load cases and weights are derived by numerical methods. Efficient and accurate methods to compute expected compliance and its derivatives are developed for both concentrated and distributed uncertain loads. The Monte Carlo method and matrix decomposition are employed for concentrated loads, and the Karhunen–Loeve expansion and its orthogonal properties of random variables are used for distributed loads. Numerical examples using the modified solid isotropic material with penalization approach are provided to demonstrate the accuracy and efficiency of the proposed approach.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Robust Topology Optimization of Structures Under Loading Uncertainty


    Contributors:

    Published in:

    AIAA Journal ; 52 , 2 ; 398-407


    Publication date :

    2014-01-15


    Size :

    10 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English






    Introducing Loading Uncertainty in Topology Optimization

    Dunning, Peter D. / Kim, H. Alicia / Mullineux, Glen | AIAA | 2011


    Level-Set-Based Robust Topology Optimization Under Geometric Uncertainty

    Chen, S. / Chen, W. / American Institute of Aeronautics and Astronautics | British Library Conference Proceedings | 2010


    Introducing Uncertainty in Direction of Loading for Topology Optimization

    Dunning, Peter / Kim, Alicia / Mullineux, Glen | AIAA | 2010