A Multiwavelet Neural Network-Based Response Surface Method for Structural Reliability Analysis

作者: Hongzhe Dai , Hao Zhang , Wei Wang

DOI: 10.1111/MICE.12086

关键词: WaveletMathematical optimizationRandom variableNonlinear systemMultilayer perceptronArtificial neural networkReliability (statistics)Finite element methodMathematicsDimension (vector space)

摘要: A new multiwavelet neural network-based response surface method is proposed for efficient structural reliability assessment. Although network can be used approximating nonlinear functions, its application has been limited to small dimension problems due computational cost. The expands the of moderate by introducing a series intermediate nodes, and number these nodes determined theory. Thus, multidimensional function learning problem transformed into one-dimensional problem. Four examples involving one stochastic finite element-based illustrate effectiveness method, which indicate that more up 10 random variables than classical multilayer perceptron-based method.

参考文章(52)
Ehsan Jahani, Rafi L. Muhanna, Mohsen A. Shayanfar, Mohammad A. Barkhordari, Reliability Assessment with Fuzzy Random Variables Using Interval Monte Carlo Simulation Computer-aided Civil and Infrastructure Engineering. ,vol. 29, pp. 208- 220 ,(2014) , 10.1111/MICE.12028
Hongzhe Dai, Hao Zhang, Wei Wang, Guofeng Xue, Structural Reliability Assessment by Local Approximation of Limit State Functions Using Adaptive Markov Chain Simulation and Support Vector Regression Computer-aided Civil and Infrastructure Engineering. ,vol. 27, pp. 676- 686 ,(2012) , 10.1111/J.1467-8667.2012.00767.X
Vasily Strela, Multiwavelets--theory and applications Massachusetts Institute of Technology. ,(1996)
Mingyang Wu, Hojjat Adeli, WAVELET-NEURAL NETWORK MODEL FOR AUTOMATIC TRAFFIC INCIDENT DETECTION Mathematical & Computational Applications. ,vol. 6, pp. 85- 96 ,(2001) , 10.3390/MCA6020085
M. Hesham, M. A. El-Gamal, Neural network model for solving integral equation of acoustic scattering using wavelet basis Communications in Numerical Methods in Engineering. ,vol. 24, pp. 183- 194 ,(2006) , 10.1002/CNM.966
Jinsuo Nie, Bruce R. Ellingwood, Finite Element-Based Structural Reliability Assessment Using Efficient Directional Simulation Journal of Engineering Mechanics-asce. ,vol. 131, pp. 259- 267 ,(2005) , 10.1061/(ASCE)0733-9399(2005)131:3(259)
Hojjat Adeli, Asim Karim, FUZZY-WAVELET RBFNN MODEL FOR FREEWAY INCIDENT DETECTION Journal of Transportation Engineering-asce. ,vol. 126, pp. 464- 471 ,(2000) , 10.1061/(ASCE)0733-947X(2000)126:6(464)
Samanwoy Ghosh-Dastidar, Hojjat Adeli, Wavelet-Clustering-Neural Network Model for Freeway Incident Detection Computer-Aided Civil and Infrastructure Engineering. ,vol. 18, pp. 325- 338 ,(2003) , 10.1111/1467-8667.T01-1-00311
R.O. Foschi, H. Li, J. Zhang, Reliability and performance-based design: a computational approach and applications Structural Safety. ,vol. 24, pp. 205- 218 ,(2002) , 10.1016/S0167-4730(02)00025-5
A. Hosni Elhewy, E. Mesbahi, Y. Pu, Reliability analysis of structures using neural network method Probabilistic Engineering Mechanics. ,vol. 21, pp. 44- 53 ,(2006) , 10.1016/J.PROBENGMECH.2005.07.002