id: 06090730
dt: j
an: 06090730
au: Luo, Yangjun; Kang, Zhan; Cai, Kun
ti: A compliance based topology optimization design of structures considering
    non-probabilistic reliability.
so: Chin. J. Comput. Mech. 28, No. 6, 821-826 (2011).
py: 2011
pu: Editorial Office of Chinese Journal of Computational Mechanics, Dalian
la: ZH
cc: 
ut: convex model; non-probabilistic reliability; compliance; topology
    optimization
ci: 
li: 
ab: Summary: In practical engineering, existing uncertainties may play an
    important role in structural topology optimization. Based on the
    multi-ellipsoid convex model for uncertainties and the definition of
    the non-probabilistic reliability index, a mathematical model for
    non-probabilistic reliability based topology optimization is proposed.
    The optimization objective is to minimax the structural compliance with
    the constraints on the material volume and the bounds of uncertainties.
    The single loop strategy combining with the method of moving asymptotes
    is adopted for the solution of the optimization problem. Then the
    meanings of the proposed topology optimization are revealed by a
    classical example of size optimization design, namely, the
    non-probabilistic topology optimization could yield more economical
    material layout than the deterministic optimization under equal
    reliability requirements. Numerical investigations illustrate the
    validity of the present model as well as the proposed numerical
    techniques.
rv: