Forced response statistics of mistuned bladed disks: a stochastic reduced basis approach


Bah, M.T., Nair, P.B., Bhaskar, A. and Keane, A.J. (2003) Forced response statistics of mistuned bladed disks: a stochastic reduced basis approach. Journal of Sound and Vibration, 263, (2), 377-397. (doi:10.1016/S0022-460X(02)01058-1).

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Description/Abstract

This paper presents a stochastic reduced basis approach for predicting the forced response statistics of mistuned bladed-disk assemblies. In this approach, the system response in the frequency domain is represented using a linear combination of complex stochastic basis vectors with undermined coefficients. The terms of the preconditioned stochastic Krylov subspace are used here as basis vectors. Two variants of the stochastic Bubnov–Galerkin scheme are employed for computing the undetermined terms in the reduced basis representation, which arise from how the condition for orthogonality between two random vectors is interpreted. Explicit expressions for the response quantities can then be derived in terms of the random system parameters, which allow for the possibility of efficiently computing the response statistics in the post-processing stage. Numerical studies are presented for mistuned cyclic assemblies of mono-coupled single-mode components. It is demonstrated that the accuracy of the response statistical moments computed using stochastic reduced basis methods can be orders of magnitude better than classical perturbation methods.

Item Type: Article
ISSNs: 0022-460X (print)
1095-8568 (electronic)
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > TL Motor vehicles. Aeronautics. Astronautics
Divisions: University Structure - Pre August 2011 > School of Engineering Sciences
University Structure - Pre August 2011 > School of Electronics and Computer Science
ePrint ID: 22417
Date Deposited: 21 Mar 2006
Last Modified: 27 Mar 2014 18:11
Contact Email Address: mtb@soton.ac.uk
URI: http://eprints.soton.ac.uk/id/eprint/22417

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