吉林大学学报(工学版) ›› 2012, Vol. 42 ›› Issue (增刊1): 135-138.

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

MENG Guang-wei1,2, LI Guang-bo2, ZHOU Zhen-ping2, ZHOU Li-ming2   

  1. 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
  • Received:2011-12-07 Online:2012-09-01 Published:2012-09-01

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Abstract: 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.

Key words: structure reliability, Fourier orthogonal basis, neural network, response surface method, generalized inverse matrix

CLC Number: 

  • TB114.3
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