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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/5334
Title: Probabilistic analysis of tunnels: A hybrid polynomial correlated function expansion based approach
Authors: Majumder D.
Chakraborty S.
Chowdhury, Rajib
Published in: Tunnelling and Underground Space Technology
Abstract: This paper presents a novel approach for the analysis of tunnels in the presence of uncertainties. The proposed approach, referred to here as hybrid polynomial correlated function expansion (H-PCFE), performs a bi-level approximation: first on global scale via polynomial correlated function expansion (PCFE) and second on local scale via Kriging. While PCFE approximates the overall trend of the output response by using extended bases, Kriging utilizes covariance function to track the local variations. Additionally, a novel homotopy algorithm is utilized for estimating the unknown coefficients associated with the bases. The proposed approach has been utilized for analysis of two benchmark tunnel problems. In order to demonstrate the superior performance of the proposed approach, results obtained have been compared with those obtained using radial basis function (RBF) and Kriging. For both the problems, the proposed H-PCFE based approach yields highly accurate results outperforming both RBF and Kriging. Additionally, the proposed approach is computationally efficient as indicated by the convergence plots that illustrate the rapid decrease in prediction error with the increase in number of training points. ¬© 2017 Elsevier Ltd
Citation: Tunnelling and Underground Space Technology(2017), 70(): 89-104
URI: https://doi.org/10.1016/j.tust.2017.07.009
http://repository.iitr.ac.in/handle/123456789/5334
Issue Date: 2017
Publisher: Elsevier Ltd
Keywords: Covariance function
H-PCFE
Rock tunnels
Uncertainty
ISSN: 8867798
Author Scopus IDs: 57195200621
56242780800
10046255200
Author Affiliations: Majumder, D., Department of Civil Engineering, Indian Institute of Technology Roorkee, Roorkee, 247667, India
Chakraborty, S., Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame46556, United States
Chowdhury, R., Department of Civil Engineering, Indian Institute of Technology Roorkee, Roorkee, 247667, India
Corresponding Author: Chakraborty, S.; Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, United States; email: csouvik41@gmail.com
Appears in Collections:Journal Publications [CE]

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