Neural Computing and Applications

, Volume 31, Issue 3, pp 777–791 | Cite as

New neural network-based response surface method for reliability analysis of structures

  • Hossein Beheshti Nezhad
  • Mahmoud MiriEmail author
  • Mohammad Reza Ghasemi
Original Article


In this paper, a new algorithm is introduced for reliability analysis of structures using response surface method based on a group method of data handling-type neural networks with general structure (GS-GMDH-type NN). A multilayer network of quadratic neurons, GMDH, offers an effective solution to modeling nonlinear systems without an explicit limit state function. In the proposed method, the response surface function is determined using GMDH-type neural networks. This is then connected to a reliability method, such as first-order or second-order reliability methods (FORM or SORM) or Monte Carlo simulation method to predict the failure probability (Pf). In the proposed method, the use of the GMDH-type neural network with general structure, where all neurons from previous layers are used to produce neurons in the new layer, can improve the limit state function. In addition, the structure of the neural network and its weight are simultaneously optimized by genetic algorithm and singular value decomposition. As a result, the obtained model has no significant error, despite its simplicity. Moreover, the obtained limit state function is explicit and allows direct use of FORM and SORM methods. To determine the accuracy and efficiency of the proposed method, four numerical examples are solved and their results are compared to other conventional methods. The results show that the proposed method is simply applicable to analyzing the reliability of large complex and sophisticated structures without an explicit limit state function. The proposed approach is a high accurate method that can significantly reduce computing time compared with direct Monte Carlo method.


Reliability Response surface GMDH-type neural network Genetic algorithm 


Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© The Natural Computing Applications Forum 2017

Authors and Affiliations

  • Hossein Beheshti Nezhad
    • 1
  • Mahmoud Miri
    • 1
    Email author
  • Mohammad Reza Ghasemi
    • 1
  1. 1.Department of Civil EngineeringUniversity of Sistan and BaluchestanZahedanIran

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