Uncertainty propagation in locally damped dynamic systems
Uncertainty propagation in locally damped dynamic systems
In the field of stochastic structural dynamics, perturbation methods are widely used to estimate the response statistics of uncertain systems. When large built up systems are to be modelled in the mid-frequency range,
perturbation methods are often combined with finite element model reduction techniques in order to considerably reduce the computation time of the response. Existing methods based on Component Mode Synthesis(CMS) allow the uncertainties in the system parameters to be treated independently in each of the substructures and the perturbation in the local parameters to be propagated to the full system global parameters. However, local treatment of damping uncertainty is usually avoided by assuming proportional damping. Here, a perturbation method that includes local modal damping uncertainty and its propagation to the global response is proposed. Local damping is accounted for in the CMS model by use of complex modes. A perturbation relationship between local and global modal properties is stated for non-classically damped systems. In this way, the response statistics for uncertain systems with localized damping can be computed at a low
computational cost. A numerical example is presented to illustrate the performance of the proposed method.
Cortes Mochales, Lluis
a513bd47-a791-447f-90f2-bf89b162a949
Ferguson, Neil S.
8cb67e30-48e2-491c-9390-d444fa786ac8
Bhaskar, Atul
d4122e7c-5bf3-415f-9846-5b0fed645f3e
18 September 2012
Cortes Mochales, Lluis
a513bd47-a791-447f-90f2-bf89b162a949
Ferguson, Neil S.
8cb67e30-48e2-491c-9390-d444fa786ac8
Bhaskar, Atul
d4122e7c-5bf3-415f-9846-5b0fed645f3e
Cortes Mochales, Lluis, Ferguson, Neil S. and Bhaskar, Atul
(2012)
Uncertainty propagation in locally damped dynamic systems.
ISMA 2012 - Conference on Noise and Vibration Engineering, Leuven, Belgium.
17 - 19 Sep 2012.
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Conference or Workshop Item
(Paper)
Abstract
In the field of stochastic structural dynamics, perturbation methods are widely used to estimate the response statistics of uncertain systems. When large built up systems are to be modelled in the mid-frequency range,
perturbation methods are often combined with finite element model reduction techniques in order to considerably reduce the computation time of the response. Existing methods based on Component Mode Synthesis(CMS) allow the uncertainties in the system parameters to be treated independently in each of the substructures and the perturbation in the local parameters to be propagated to the full system global parameters. However, local treatment of damping uncertainty is usually avoided by assuming proportional damping. Here, a perturbation method that includes local modal damping uncertainty and its propagation to the global response is proposed. Local damping is accounted for in the CMS model by use of complex modes. A perturbation relationship between local and global modal properties is stated for non-classically damped systems. In this way, the response statistics for uncertain systems with localized damping can be computed at a low
computational cost. A numerical example is presented to illustrate the performance of the proposed method.
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ISMA2012LluisCortes.pdf
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Published date: 18 September 2012
Venue - Dates:
ISMA 2012 - Conference on Noise and Vibration Engineering, Leuven, Belgium, 2012-09-17 - 2012-09-19
Organisations:
Dynamics Group
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Local EPrints ID: 343169
URI: http://eprints.soton.ac.uk/id/eprint/343169
PURE UUID: 11c1ebdf-3787-414c-b6de-63271e7276f0
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Date deposited: 27 Sep 2012 14:58
Last modified: 15 Mar 2024 02:34
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Author:
Lluis Cortes Mochales
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