An experimental investigation of the natural frequency statistics of a beam with spatially correlated random masses
An experimental investigation of the natural frequency statistics of a beam with spatially correlated random masses
Experimental investigations into the dynamic response of structures with material or geometrical random fields usually depend upon an initial characterization of this variability, with very little control over the statistics at its early manufacturing stage. This provides the need of a minimal number of samples to generate an ensemble of dynamic responses, making such experimental data scarcely found in the literature. In this work, a cantilever beam with small masses attached along its length according to a given discrete random field has an ensemble of natural frequencies measured for a number of correlation lengths. The results can be used to investigate the effects of the correlation length on the subsequent natural frequency statistics. The experimental results are compared with a wave approximation for flexural waves using a continuous random field for the mass density, in order to approximate the mass distribution. Issues concerning this approximation are discussed. In addition, results are also compared with a simple added mass approximation with assumed modes from a FE solution.
Fabro, Adriano
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Jain, T.
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Ferguson, N.S.
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Halkyard, R.
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Mace, B.R.
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23 June 2014
Fabro, Adriano
ec8ae99f-417a-4e1e-a912-3c4cff5c11b7
Jain, T.
75e67012-8444-4bee-bc42-eddb97f8515e
Ferguson, N.S.
8cb67e30-48e2-491c-9390-d444fa786ac8
Halkyard, R.
aac27118-bafc-41bc-8ef9-f2abd955f638
Mace, B.R.
cfb883c3-2211-4f3a-b7f3-d5beb9baaefe
Fabro, Adriano, Jain, T., Ferguson, N.S., Halkyard, R. and Mace, B.R.
(2014)
An experimental investigation of the natural frequency statistics of a beam with spatially correlated random masses.
2nd International Symposium on Uncertainty Quantification and Stochastic Modeling, Rouen, France.
01 Jan 2014.
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Conference or Workshop Item
(Paper)
Abstract
Experimental investigations into the dynamic response of structures with material or geometrical random fields usually depend upon an initial characterization of this variability, with very little control over the statistics at its early manufacturing stage. This provides the need of a minimal number of samples to generate an ensemble of dynamic responses, making such experimental data scarcely found in the literature. In this work, a cantilever beam with small masses attached along its length according to a given discrete random field has an ensemble of natural frequencies measured for a number of correlation lengths. The results can be used to investigate the effects of the correlation length on the subsequent natural frequency statistics. The experimental results are compared with a wave approximation for flexural waves using a continuous random field for the mass density, in order to approximate the mass distribution. Issues concerning this approximation are discussed. In addition, results are also compared with a simple added mass approximation with assumed modes from a FE solution.
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Published date: 23 June 2014
Venue - Dates:
2nd International Symposium on Uncertainty Quantification and Stochastic Modeling, Rouen, France, 2014-01-01 - 2014-01-01
Organisations:
Dynamics Group
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Local EPrints ID: 366704
URI: http://eprints.soton.ac.uk/id/eprint/366704
PURE UUID: ca012f51-c88c-4a36-a8a5-a79856920c36
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Date deposited: 08 Jul 2014 13:55
Last modified: 15 Mar 2024 02:34
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Contributors
Author:
Adriano Fabro
Author:
T. Jain
Author:
R. Halkyard
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