Volume 35 Issue 10
Oct.  2009
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Li Dongze, Yu Dengyun, Ma Xingruiet al. Truss topology optimization with uncertain loading scenarios[J]. Journal of Beijing University of Aeronautics and Astronautics, 2009, 35(10): 1170-1173. (in Chinese)
Citation: Li Dongze, Yu Dengyun, Ma Xingruiet al. Truss topology optimization with uncertain loading scenarios[J]. Journal of Beijing University of Aeronautics and Astronautics, 2009, 35(10): 1170-1173. (in Chinese)

Truss topology optimization with uncertain loading scenarios

  • Received Date: 30 Sep 2008
  • Publish Date: 31 Oct 2009
  • A new model of truss topology optimization (TTO) considering uncertain (in size and direction) loading scenarios was presented. The uncertain loading was modeled as bounded convex sets, and the uncertain model was transformed to a deterministic model. The TTO was formulated as minimization of the compliance subject to volume constraints, and the nature of this type of optimization is to minimizing maximum compliance in high dimensional ellipsoid. The traditional model considering convex sets is hard to solve, and TTO with convex sets was modeled as semidefinite programming (SDP) to overcome this special difficulty. The compliance both to given loading scenarios and a small occasional was simultaneously optimized in SDP model and optimum result showed that the compliance of the truss were slightly reduced respect to given loads, but the optimum topology of the truss is more robust and more practical than that with non-uncertain loading scenarios from the engineering viewpoints.

     

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