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�������պ����ѧѧ�� 2012, Vol. 38 Issue (5) :630-635    DOI:
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������1, ����1, ����2, ��־ƽ1*
1. �������պ����ѧ ���տ�ѧ�빤��ѧԺ, ���� 100191;
2. �й������ۺϼ����о���, ���� 100028
Structural optimization design based on non-probabilistic convex modeling reliability
Wang Xiaojun1, Wang Lei1, Jia Xiao2, Qiu Zhiping1*
1. School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China;
2. China Aero-Polytechnology Establishment, Beijing 100028, China

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Abstract�� Taking into account the uncertainty of structural system parameters and based on the proposed new definition of the non-probabilistic reliability index based on convex models, a new mathematical model and solution method of structural optimization design was proposed under the non-probabilistic reliability constraint. The super-ellipsoidal convex sets were taken to describe the uncertain parameters. The ratio between the volume of safe region and the total volume of the super-ellipsoidal set for the basic uncertain variables was defined as the measurement of structural non-probabilistic reliability. By taking the reliability index as constraint condition, the structural optimization problem was iteratively solved through the multiplier method and the damping Newton-s method, which was a stable, efficient algorithm. Numerical examples verify the correctness of the proposed method.
Keywords�� structural optimization   non-probabilistic reliability   convex models   uncertainty     
Received 2011-02-22;
Fund:�����������мƻ�������Ŀ(A2120110001,B2120110011); ������Ȼ��ѧ����������Ŀ(11002013); �ߵ�ѧУѧ�ƴ������Ǽƻ�������Ŀ(B07009)
������, ����, ����, ��־ƽ.���ڷǸ���͹ģ�Ϳɿ��ԵĽṹ�Ż����[J]  �������պ����ѧѧ��, 2012,V38(5): 630-635
Wang Xiaojun, Wang Lei, Jia Xiao, Qiu Zhiping.Structural optimization design based on non-probabilistic convex modeling reliability[J]  JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2012,V38(5): 630-635
http://bhxb.buaa.edu.cn//CN/     ��     http://bhxb.buaa.edu.cn//CN/Y2012/V38/I5/630
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