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�������պ����ѧѧ�� 2009, Vol. 35 Issue (10) :1170-1173    DOI:
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2. �й��ռ似���о�Ժ ���� 100094;
3. �й�����Ƽ����Ź�˾ ���� 100037
Truss topology optimization with uncertain loading scenarios
Li Dongze1, Yu Dengyun2, Ma Xingrui3*
1. Beijing Institute of Spacecraft System Engineering, Beijing 100094, China;
2. China Academy of Space Technology, Beijing 100094, China;
3. Chinese Space Science and Technology Group Co, Beijing 100037, China

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Abstract�� 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.
Keywords�� truss design   topology optimization   uncertain loading   robustness     
Received 2008-09-30;
Fund:

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About author: ���(1973-),��,���ֳ�����,��ʿ��,Dongze_li@hotmail.com.
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���, �ڵ���,������.��ȷ���غ��µ���ܽṹ�����Ż�[J]  �������պ����ѧѧ��, 2009,V35(10): 1170-1173
Li Dongze, Yu Dengyun,Ma Xingrui.Truss topology optimization with uncertain loading scenarios[J]  JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2009,V35(10): 1170-1173
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