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Efficient prediction of the forced response statistics of mistuned bladed discs

Efficient prediction of the forced response statistics of mistuned bladed discs
Efficient prediction of the forced response statistics of mistuned bladed discs
This paper presents two efficient reduced-order modelling techniques for predicting the forced response statistics of bladed disc assemblies. First, the formulation presented in (1) is extended to the forced response problem. Component modes for a blade-disc sector are used as basis vectors, leading to a reduced model of the same size as the number of sectors and allowing for pass-band calculations. For each realization of the random system parameters, a reduced system of equations is solved to compute the displacement vector for each frequency band of interest. Statistics of responses at each frequency point can be therefore estimated by performing Monte Carlo Simulations of cost comparable to single degree-of-freedom mass-spring systems. Second, a stochastic reduced basis approach is applied to the mistuning analysis problem. Here, the system response in the frequency domain is represented using a linear combination of complex stochastic basis vectors which span the preconditioned stochastic Krylov Subspace (2,3). Orthogonal stochastic projection schemes are employed for computing the undetermined coefficients in the stochastic reduced basis representation. These schemes lead to explicit expressions for the response to be obtained, therby allowing the efficient computation of the response statistics.
Bah, M.T.
a6d44ed7-e66c-4958-a98f-314860bb00bc
Nair, P.B.
d4d61705-bc97-478e-9e11-bcef6683afe7
Bhaskar, A.
d4122e7c-5bf3-415f-9846-5b0fed645f3e
Keane, A.J.
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Bah, M.T.
a6d44ed7-e66c-4958-a98f-314860bb00bc
Nair, P.B.
d4d61705-bc97-478e-9e11-bcef6683afe7
Bhaskar, A.
d4122e7c-5bf3-415f-9846-5b0fed645f3e
Keane, A.J.
26d7fa33-5415-4910-89d8-fb3620413def

Bah, M.T., Nair, P.B., Bhaskar, A. and Keane, A.J. (2003) Efficient prediction of the forced response statistics of mistuned bladed discs. Eighth International Conference on Recent Advances in Structural Dynamics. 14 - 16 Jul 2003.

Record type: Conference or Workshop Item (Paper)

Abstract

This paper presents two efficient reduced-order modelling techniques for predicting the forced response statistics of bladed disc assemblies. First, the formulation presented in (1) is extended to the forced response problem. Component modes for a blade-disc sector are used as basis vectors, leading to a reduced model of the same size as the number of sectors and allowing for pass-band calculations. For each realization of the random system parameters, a reduced system of equations is solved to compute the displacement vector for each frequency band of interest. Statistics of responses at each frequency point can be therefore estimated by performing Monte Carlo Simulations of cost comparable to single degree-of-freedom mass-spring systems. Second, a stochastic reduced basis approach is applied to the mistuning analysis problem. Here, the system response in the frequency domain is represented using a linear combination of complex stochastic basis vectors which span the preconditioned stochastic Krylov Subspace (2,3). Orthogonal stochastic projection schemes are employed for computing the undetermined coefficients in the stochastic reduced basis representation. These schemes lead to explicit expressions for the response to be obtained, therby allowing the efficient computation of the response statistics.

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Published date: 2003
Venue - Dates: Eighth International Conference on Recent Advances in Structural Dynamics, 2003-07-14 - 2003-07-16

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Local EPrints ID: 23533
URI: https://eprints.soton.ac.uk/id/eprint/23533
PURE UUID: 84821c0f-c8aa-40f8-ba2f-85d01d3e4aa7

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Date deposited: 05 Jun 2006
Last modified: 17 Jul 2017 16:17

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Contributors

Author: M.T. Bah
Author: P.B. Nair
Author: A. Bhaskar
Author: A.J. Keane

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