LI Gang, MENG Zeng. Reliability-Based Design Optimization With the RBF Neural Network Model[J]. Applied Mathematics and Mechanics, 2014, 35(11): 1271-1279. doi: 10.3879/j.issn.1000-0887.2014.11.010
Citation: LI Gang, MENG Zeng. Reliability-Based Design Optimization With the RBF Neural Network Model[J]. Applied Mathematics and Mechanics, 2014, 35(11): 1271-1279. doi: 10.3879/j.issn.1000-0887.2014.11.010

Reliability-Based Design Optimization With the RBF Neural Network Model

doi: 10.3879/j.issn.1000-0887.2014.11.010
Funds:  The National Natural Science Foundation of China(11372061; 91315301)
  • Received Date: 2014-05-15
  • Publish Date: 2014-11-18
  • The reliability-based design optimization (RBDO) provides a trade-off between cost and safety given a lot of uncertain factors, such as structure sizes, material properties and external loads. The traditional RBDO approaches were computationally expensive owing to the nesting bilevel optimization. Thereafter, the decoupling approach and single loop approach were proposed to overcome this obstruction. However,the computational demand of these 2 types of approaches was still too huge for complex engineering problems. Here a new adaptive RBDO approach was presented based on the RBF neural network theory. The latin hypercube sampling method was used to construct the surrogate model. The error metrics were used to validate the RBF neural network model and the surrogate model was updated adaptively. Compared with the previous 4 popular RBDO algorithms, the presented method is efficient and robust.
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  • [1]
    Nikolaidis E, Burdisso R. Reliability-based optimization: a safety index approach[J].Computers & Structures,1988,28(6): 781-788.
    [2]
    Tu J, Choi K K, Park Y H. A new study on reliability-based design optimization[J]. Journal of Mechanical Design,1999,121(4): 557-564.
    [3]
    Liang J, Mourelatos Z P, Tu J. A single-loop method for reliability-based design optimisation[J]. International Journal of Product Development,2008,5(1): 76-92.
    [4]
    Madsen H O, Hansen P F. A comparison of some algorithms for reliability based structural optimization and sensitivity analysis[C]// Proceedings of the 4th IFIPWG 75 Conference.Munich, Germany, 1991.
    [5]
    CHEN Xiao-guang, Hasselman T K, Neill D J. Reliability based structural design optimization for practical applications[C]// Proceedings of the 38th AIAA/ASME/ASCE /AHS/ASC Structures, Structural Dynamics, and Materials Conference.Kissimmee, FL, 1997.
    [6]
    程耿东, 许林. 基于可靠度的结构优化的序列近似规划算法[J]. 计算力学学报, 2006,23(6): 641-646.(CHENG Geng-dong, XU Lin. Sequential approximate programming approach to reliability based structural optimization[J]. Chinese Journal of Computational Mechanics,2006,23(6): 641-646. (in Chinese))
    [7]
    Yi P, Cheng G, Jiang L. A sequential approximate programming strategy for performance-measure-based probabilistic structural design optimization[J]. Structural Safety,2008,30(2): 91-109.
    [8]
    Du X, Chen W. Sequential optimization and reliability assessment method for efficient probabilistic design[J]. Journal of Mechanical Design,2004,126(2): 225-233.
    [9]
    许林, 程耿东, 易平. 利用系统可靠度约束下的优化设计求解公差分配问题[J]. 机械强度, 2007,28(6): 839-844.(XU Lin, CHENG Geng-dong, YI Ping. Tolerance assignment using algorithm for system reliability based optimal design[J]. Journal of Mechanical Strength,2007,28(6): 839-844.(in Chinese))
    [10]
    Youn B D, Choi K K, Yang R J, Gu L. Reliability-based design optimization for crashworthiness of vehicle side impact[J]. Structural and Multidisciplinary Optimization,2004,26(3/4): 272-283.
    [11]
    Xu K, Xie M, Tang L C, Ho S T. Application of neural networks in forecasting engine systems reliability[J]. Applied Soft Computing,2003,2(4): 255-268.
    [12]
    Wu Y T, Millwater H R, Cruse T A. Advanced probabilistic structural analysis method for implicit performance functions[J]. AIAA Journal,1990,28(9): 1663-1669.
    [13]
    Youn B D, Choi K K, Park Y H. Hybrid analysis method for reliability-based design optimization[J]. Journal of Mechanical Design,2003,125(2): 221-232.
    [14]
    Li G, Meng Z. A modified chaos control approach of the performance measure functions for reliability-based design optimization[C]//10th World Congress on Structural and Multidisciplinary Optimization.Orlando, Florida, USA, 2013.
    [15]
    Venter G, Haftka R T, Chirehdast M. Response surface approximations for fatigue life prediction[C]//Proceedings of the 38th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Material Conference and AIAA/ASM/AHS Adaptive Structures Forum.Kissimmee, FL, 1997.
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