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Volume 38 Issue 5
May  2012
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Journal of Beijing University of Aeronautics and Astronautics  > 2012  >  38(5): 630-635.
Wang Xiaojun, Wang Lei, Jia Xiao, et al. Structural optimization design based on non-probabilistic convex modeling reliability[J]. Journal of Beijing University of Aeronautics and Astronautics, 2012, 38(5): 630-635. (in Chinese)
Citation: Wang Xiaojun, Wang Lei, Jia Xiao, et al. Structural optimization design based on non-probabilistic convex modeling reliability[J]. Journal of Beijing University of Aeronautics and Astronautics, 2012, 38(5): 630-635. (in Chinese)
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Structural optimization design based on non-probabilistic convex modeling reliability

  • 1.

    School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

  • 2. China Aero-Polytechnology Establishment, Beijing 100028, China

  • Received Date: 22 Feb 2011
  • Publish Date: 30 May 2012
    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.

     

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