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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/5350
Title: A bi-level approximation tool for the computation of FRFs in stochastic dynamic systems
Authors: Chatterjee T.
Chakraborty S.
Chowdhury, Rajib
Published in: Mechanical Systems and Signal Processing
Abstract: Frequency response functions (FRFs) are considered to be a significant aspect in the evaluation of structural response subjected to dynamic loading. A new approach, referred to as the hybrid polynomial correlated function expansion (H-PCFE) has been developed for predicting the natural frequencies and the FRF of stochastic dynamical systems. H-PCFE has been developed by incorporating the advantages of two available techniques namely, PCFE and Gaussian process (GP) modeling. These two methods are coupled in such a way that PCFE handles the global behavior of the model using a set of component functions and GP interpolates local variations as a function of the sample points, performing as a two level approximation. Implementation of the proposed approach for stochastic dynamic problems has been demonstrated with four problems. The main focus of this study lies in the prediction of FRFs. The efficiency and accuracy of H-PCFE to compute FRFs of stochastic dynamic systems is assessed by a comparison with direct Monte Carlo simulation (MCS). Excellent results in terms of accuracy and computational effort obtained makes the proposed methodology potential for application in large scale structural applications. ¬© 2015 Elsevier Ltd. All rights reserved.
Citation: Mechanical Systems and Signal Processing(2016), 70-71(): 484-505
URI: https://doi.org/10.1016/j.ymssp.2015.09.001
http://repository.iitr.ac.in/handle/123456789/5350
Issue Date: 2016
Publisher: Academic Press
Keywords: Frequency response function
Gaussian process
Homotopy algorithm
Hybrid PCFE
Stochastic dynamics
ISSN: 8883270
Author Scopus IDs: 56226100500
56242780800
10046255200
Author Affiliations: Chatterjee, T., Department of Civil Engineering, Indian Institute of Technology Roorkee, Roorkee, 247667, India
Chakraborty, S., Department of Civil Engineering, Indian Institute of Technology Roorkee, Roorkee, 247667, India
Chowdhury, R., Department of Civil Engineering, Indian Institute of Technology Roorkee, Roorkee, 247667, India
Corresponding Author: Chakraborty, S.; Department of Civil Engineering, Indian Institute of Technology RoorkeeIndia; email: csouvik41@gmail.com
Appears in Collections:Journal Publications [CE]

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