Scientia Iranica

Scientia Iranica

Reliability analysis of foundation settlement by stochastic response surface and random finite element method

Document Type : Research Article

Authors
Department of Civil and Environmental Engineering, Shiraz University of Technology, Shiraz, Iran
Abstract
This paper presents a reliability-based analysis of strip footing settlement by Stochastic Finite Element Method (SFEM). The Stochastic Response Surface Method (SRSM) and Random Finite Element Method (RFEM) are used as two formulation of SFEM. The elastic properties of soil are considered as spatial random variables and modeled as cross correlated log–normal random fields. Random field discretization is done by Karhunen–Loeve (K-L) expansion. Two programs were coded by MATLAB so as to take full advantages of its matrix operations and in an illustrative example; it was shown that the results of SRSM are close to RFEM however the consumed time in RFEM is at most 50 times longer than SRSM. Using the faster method, SRSM, it is concluded that considering the spatial variability of soil parameters in stochastic analysis is necessary.
 
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Volume 24, Issue 6
Transactions on Civil Engineering (A)
November and December 2017
Pages 2741-2751

  • Receive Date 21 October 2015
  • Revise Date 20 April 2016
  • Accept Date 22 August 2016