Structure reliability analysis based on Fourier orthogonal neural network response surface method

被引:0
作者
Meng, Guang-Wei [1 ,2 ]
Li, Guang-Bo [2 ]
Zhou, Zhen-Ping [2 ]
Zhou, Li-Ming [2 ]
机构
[1] State Key Laboratory of Automotive Simulation and Control, Jilin University, Changchun 130022, China
[2] College of Mechanical Science and Engineering, Jilin University, Changchun 130022, China
来源
Jilin Daxue Xuebao (Gongxueban)/Journal of Jilin University (Engineering and Technology Edition) | 2012年 / 42卷 / SUPPL. 1期
关键词
Inverse problems - Fourier transforms - Matrix algebra - Surface properties - Iterative methods - Neural networks - Numerical methods - Orthogonal functions - Polynomial approximation;
D O I
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学科分类号
摘要
Fourier orthogonal neural network response surface method was used to estimate the failure probability of structure. Based on numerical approximation principle, a special feed-forward neural network using Fourier orthogonal polynomial activation function was proposed. A pseudo-inverse of random variable input matrix was used to determine the network weights without iterative training. The failure probability was calculated by Fourier orthogonal neural network response surface method instead of traditional polynomial response surface method. The numerical analysis shows that the proposed method is effective, meanwhile the formula of the proposed method is simple and easy to programming, providing a new method for solving the structure reliability analysis.
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页码:135 / 138
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