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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/5393
Title: A reduced-order random matrix approach for stochastic structural dynamics
Authors: Adhikari S.
Chowdhury, Rajib
Published in: Computers and Structures
Abstract: The analysis of uncertainty of very large dynamical systems over a wide range of frequency is a significant challenge. In this paper a new reduced-order computational approach for very large damped stochastic linear dynamical systems is proposed. The approach is based on transformation and reduction of the stochastic system in the modal domain. A Wishart random matrix distribution is considered for the eigensolution of the reduced-order system. The identification of the parameters of the Wishart random model has been discussed. The newly proposed approach is compared with the existing random matrix models using numerical case studies. Results from the new approach have been validated using an experiment on a vibrating plate with randomly attached spring-mass oscillators. One hundred nominally identical samples have been physically created and individually tested within a laboratory framework. A simple step-by-step simulation method for implementing the new computational approach in conjunction with general purpose finite element software has been outlined. The method is applied to an aircraft wing problem with uncertainty to illustrate the generality, portability and the non-intrusive nature of the proposed approach. ¬© 2010 Elsevier Ltd. All rights reserved.
Citation: Computers and Structures(2010), 88(21-22): 1230-1238
URI: https://doi.org/10.1016/j.compstruc.2010.07.001
http://repository.iitr.ac.in/handle/123456789/5393
Issue Date: 2010
Keywords: Modal analysis
Random matrix
Structural dynamics
Uncertainty
ISSN: 457949
Author Scopus IDs: 24436440900
10046255200
Author Affiliations: Adhikari, S., School of Engineering, Swansea University, Singleton Park, Swansea SA2 8PP, United Kingdom
Chowdhury, R., School of Engineering, Swansea University, Singleton Park, Swansea SA2 8PP, United Kingdom
Funding Details: SA gratefully acknowledges the support of the Leverhulme Trust for the award of the Philip Leverhulme Prize. RC acknowledges the support of Royal Society through the award of Newton International Fellowship.
Corresponding Author: Adhikari, S.; School of Engineering, Swansea University, Singleton Park, Swansea SA2 8PP, United Kingdom; email: S.Adhikari@swansea.ac.uk
Appears in Collections:Journal Publications [CE]

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