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Improved Craig–Bampton stochastic method for spacecraft vibroacoustic analysis

Yotov, Vladimir, Remedia, Marcello, Aglietti, Guglielmo and Richardson, G. (2020) Improved Craig–Bampton stochastic method for spacecraft vibroacoustic analysis Acta Astronautica.

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This paper addresses the susceptibility of finite element models to uncertainty in frequency ranges with relatively high modal density, particularly in the con- text of vibroacoustic analysis. The principal idea is based on a stochastic fi- nite element method (FEM) technique called Craig-Bampton stochastic method (CBSM). It is a parametric Monte Carlo simulation (MCS) approach that can be performed at a fraction of the otherwise potentially impractical computational cost, due to the use of reduced rather than full system matrices. An enhanced formulation of the CBSM, significantly improving its efficiency by exploiting the block structure of the condensed model’s stiffness and mass matrices is derived. The improved method is adapted for use with distributed loads, such as diffuse sound field excitation. Its practical implementation is illustrated through a simple theoretical example followed by a high-complexity spacecraft structure case. In both cases solutions are compared to those of a classic MC simulation of the non-condensed models. Through an extensive parametric survey, recommendations are given on the ideal perturbation levels and underlying statistical distributions for the improved CBSM’s random variables. The proposed technique shows a very strong agreement with the benchmark MC results. Computational time reductions of over 1 and 3 orders of magnitude against the original CBSM and the MC simulation, respectively, are demonstrated.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Physics
Authors :
Richardson, G.
Date : 13 July 2020
Funders : University of Surrey, Surrey Satellite Technology Ltd.
DOI : 10.1016/j.actaastro.2020.07.011
Copyright Disclaimer : © 2020 Published by Elsevier Ltd on behalf of IAA.
Projects : Stochastic Finite Element Method for Vibroacoustic Loads Prediction
Uncontrolled Keywords : Craig-Bampton stochastic method; Component mode synthesis; Monte Carlo simulation; Vibroacoustics; Mid-frequency;
Additional Information : Embargo OK Metadata Pending Article is in-proof. Final version forthcoming.
Depositing User : James Marshall
Date Deposited : 24 Jul 2020 15:31
Last Modified : 24 Jul 2020 15:31

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