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Statistical analysis of the forced response of mistuned bladed disks using stochastic reduced basis methods

Statistical analysis of the forced response of mistuned bladed disks using stochastic reduced basis methods
Statistical analysis of the forced response of mistuned bladed disks using stochastic reduced basis methods
This paper is concerned with the forced response statistics of mistuned bladed disk assemblies subjected to a deterministic sinusoidal excitation. A stochastic reduced basis method (SRBM) is used to compute the statistics of the system component amplitudes. In this approach, the system response in the frequency domain is represented using a linear combination of stochastic basis vectors with undermined coefficients.
The three terms of the second-order perturbation approximation (which span the stochastic Krylov subspace) are used as basis vectors and the undetermined coefficients are evaluated using stochastic variants of the Bubnov- Galerkin Scheme. This results in explicit expressions for the response quantities in terms of the random system parameters. The statistics of the system response can hence be efficiently computed in the post-processing stage. Numerical results are presented for a model problem to demonstrate that the stochastic reduced basis formulation gives highly accurate results for the response statistical moments.
1-10
Bah, Mamadou T.
b5cd0f47-016f-485c-8293-5f6bf8a7ef1a
Nair, Prasanth B.
d4d61705-bc97-478e-9e11-bcef6683afe7
Bhaskar, Atul
d4122e7c-5bf3-415f-9846-5b0fed645f3e
Keane, Andy J.
26d7fa33-5415-4910-89d8-fb3620413def
Bah, Mamadou T.
b5cd0f47-016f-485c-8293-5f6bf8a7ef1a
Nair, Prasanth B.
d4d61705-bc97-478e-9e11-bcef6683afe7
Bhaskar, Atul
d4122e7c-5bf3-415f-9846-5b0fed645f3e
Keane, Andy J.
26d7fa33-5415-4910-89d8-fb3620413def

Bah, Mamadou T., Nair, Prasanth B., Bhaskar, Atul and Keane, Andy J. (2002) Statistical analysis of the forced response of mistuned bladed disks using stochastic reduced basis methods. 43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. 22 - 25 Apr 2002. pp. 1-10 .

Record type: Conference or Workshop Item (Paper)

Abstract

This paper is concerned with the forced response statistics of mistuned bladed disk assemblies subjected to a deterministic sinusoidal excitation. A stochastic reduced basis method (SRBM) is used to compute the statistics of the system component amplitudes. In this approach, the system response in the frequency domain is represented using a linear combination of stochastic basis vectors with undermined coefficients.
The three terms of the second-order perturbation approximation (which span the stochastic Krylov subspace) are used as basis vectors and the undetermined coefficients are evaluated using stochastic variants of the Bubnov- Galerkin Scheme. This results in explicit expressions for the response quantities in terms of the random system parameters. The statistics of the system response can hence be efficiently computed in the post-processing stage. Numerical results are presented for a model problem to demonstrate that the stochastic reduced basis formulation gives highly accurate results for the response statistical moments.

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Published date: 2002
Venue - Dates: 43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2002-04-22 - 2002-04-25

Identifiers

Local EPrints ID: 22260
URI: http://eprints.soton.ac.uk/id/eprint/22260
PURE UUID: 97c79d61-6e1d-4fb6-a4af-49fee5607204

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Date deposited: 10 Jul 2006
Last modified: 09 Dec 2019 19:11

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