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ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 2017, Vol. 38 ›› Issue (1): 220216-220216.doi: 10.7527/S1000-6893.2016.0233

• Solid Mechanics and Vehicle Conceptual Design • Previous Articles     Next Articles

Reliability-based optimization algorithm using hybrid model with truncated probability and non-probability

ZHOU Ling, LI Yanhui   

  1. Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China
  • Received:2016-03-11 Revised:2016-08-12 Online:2017-01-15 Published:2016-08-26
  • Supported by:

    National Natural Science Foundation of China (51305421); National Defence Technology Basis Research Project of China (JSZL2014130B005); Young Scholars Fund of Development Project of Science and Technology of Jilin Province (20140520137JH)

Abstract:

A new hybrid reliability model is presented for the case that truncated probabilistic variables and non-probabilistic variables exist simultaneously in engineering. Based on the new hybrid reliability model and reliability index assessment (RIA) method, a nested loop hybrid reliability-based optimization model is also presented. Modified ST-Powell optimization algorithm with better search strategy is used to search the optimal values of design variables in the out-loop. Modified limit step length iteration algorithm, which can ensure convergence, is used to solve the new hybrid reliability index in the inner-loop. Numerical examples show that the global optimization rate of the modified ST-Powell optimization algorithm with better search strategy can be promoted significantly, and the validity of hybrid reliability-based optimization model searched by the algorithm presented in this paper is proved. The algorithm can obtain the optimal values for hybrid reliability-based optimization model with high nonlinear limit state function. The algorithm presented in this paper has a good adaptability to hybrid reliability-based optimization problems of engineering structure.

Key words: truncated probabilistic variable, non-probabilistic variable, hybrid reliability model, modified ST-Powell optimization algorithm with better search strategy, modified limit step length iteration algorithm, reliability-based optimization

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