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基于小波神经网络的结构系统可靠性优化设计

Wavelet neural net-based reliability design optimization for structural system

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【作者】 刘仁云于繁华张义民

【Author】 LIU Ren-yun1,YU Fan-hua2,ZHANG Yi-min3 (1.School of Mathematics,Changchun Normal University,Changchun 130032,China;2.School of Computer Science & Technology,Changchun Normal University,Changchun 130032,China;3.School of Mechanical Engineering and Automation,Northeastern University,Shenyang 110004,China)

【机构】 长春师范学院数学学院长春师范学院计算机科学与技术学院东北大学机械工程与自动化学院

【摘要】 针对具有非正态随机参数的可靠性优化设计,利用随机摄动-Edgeworth级数方法,将可靠性概率约束转化为等价的确定型约束,并运用优化算法求取结构可靠性优化设计的初始点。利用随机模拟-小波神经网络方法有效地解决了具有多失效模式的结构系统可靠性优化设计中系统功能函数难以显性表达的问题。并利用网络的逆映射功能实现了结构系统可靠性优化设计,实验结果表明上述方法是行之有效的。

【Abstract】 The probability constraint is transferred into equivalent determinate constraint by Probabilistic Perturbation method and Edgeworth series method in reliability design optimization with non-normal random parameters.Thus,the initial design point in structural system for reliability design optimization can be obtained by optimization methods.In the case of system with multi-failure modes,the Monte Carlo Stochastic-Wavelet Neural Network(MCS-WNN) method is presented to solve the problem that system function is difficult to express as an explicit function.And then,an inverse mapping model of Wavelet Neural Net is employed to accomplish reliability design optimization for structural system.Experimental results show that the aforementioned methods are effective.

【基金】 国家自然科学基金项目(50535010)
  • 【文献出处】 吉林大学学报(工学版) ,Journal of Jilin University(Engineering and Technology Edition) , 编辑部邮箱 ,2009年S1期
  • 【分类号】TU318
  • 【被引频次】4
  • 【下载频次】396
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