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Variations in steepness of the probability density function of beam random vibration

Variations in steepness of the probability density function of beam random vibration
Variations in steepness of the probability density function of beam random vibration
Dynamic behaviour of a beam, subjected to stationary random excitation, has been investigated for the situation in which the response is different from the model of a Gaussian random process. The study was restricted to the case of symmetric non-Gaussian probability density functions of beam vibrations. There are two possible causes of deviations of the system response from the Gaussian model: the first, nonlinear behaviour, concerns the system itself and the second is external when the excitation is not Gaussian. Both cases have been considered in the paper. To clarity the conclusions for each case and to avoid interference of these different types of system behaviour, two beam structures, clamped-clamped and cantilevered, have been studied. A numerical procedure for prediction of the nonlinear random response of a clamped-clamped beam under the Gaussian excitations was based on a linear modal expansion. Monte Carlo simulation was undertaken using Runge–Kutta integration of the generalised coordinate equations. Probability density functions of the beam response were analysed and approximated making use of different theoretical models. An experimental study has been carried out for a linear system of a cantilevered beam with a point mass at the free end. A pseudo-random driving signal was generated digitally in the form of a Fourier expansion and fed to a shaker input. To generate a non-Gaussian excitation a special procedure of harmonic phase adjustment was implemented instead of the random choice. In so doing, the non-Gaussian kurtosis parameter of the beam response was controlled
beam, non-gaussian random vibration, kurtosis
0997-7538
319-341
Steinwolf, A.
e3892c1d-d274-42ff-a3ae-872d42a42c65
Ferguson, N.S.
8cb67e30-48e2-491c-9390-d444fa786ac8
White, R.G.
d67216d7-2691-4322-9dac-56b96add39e1
Steinwolf, A.
e3892c1d-d274-42ff-a3ae-872d42a42c65
Ferguson, N.S.
8cb67e30-48e2-491c-9390-d444fa786ac8
White, R.G.
d67216d7-2691-4322-9dac-56b96add39e1

Steinwolf, A., Ferguson, N.S. and White, R.G. (2000) Variations in steepness of the probability density function of beam random vibration. European Journal of Mechanics - A/Solids, 19 (2), 319-341. (doi:10.1016/S0997-7538(00)00166-2).

Record type: Article

Abstract

Dynamic behaviour of a beam, subjected to stationary random excitation, has been investigated for the situation in which the response is different from the model of a Gaussian random process. The study was restricted to the case of symmetric non-Gaussian probability density functions of beam vibrations. There are two possible causes of deviations of the system response from the Gaussian model: the first, nonlinear behaviour, concerns the system itself and the second is external when the excitation is not Gaussian. Both cases have been considered in the paper. To clarity the conclusions for each case and to avoid interference of these different types of system behaviour, two beam structures, clamped-clamped and cantilevered, have been studied. A numerical procedure for prediction of the nonlinear random response of a clamped-clamped beam under the Gaussian excitations was based on a linear modal expansion. Monte Carlo simulation was undertaken using Runge–Kutta integration of the generalised coordinate equations. Probability density functions of the beam response were analysed and approximated making use of different theoretical models. An experimental study has been carried out for a linear system of a cantilevered beam with a point mass at the free end. A pseudo-random driving signal was generated digitally in the form of a Fourier expansion and fed to a shaker input. To generate a non-Gaussian excitation a special procedure of harmonic phase adjustment was implemented instead of the random choice. In so doing, the non-Gaussian kurtosis parameter of the beam response was controlled

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More information

Published date: 2000
Keywords: beam, non-gaussian random vibration, kurtosis

Identifiers

Local EPrints ID: 21627
URI: http://eprints.soton.ac.uk/id/eprint/21627
ISSN: 0997-7538
PURE UUID: 10ec35f2-7a6c-47b1-823d-ff933426c374
ORCID for N.S. Ferguson: ORCID iD orcid.org/0000-0001-5955-7477

Catalogue record

Date deposited: 08 Feb 2007
Last modified: 16 Mar 2024 02:33

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Contributors

Author: A. Steinwolf
Author: N.S. Ferguson ORCID iD
Author: R.G. White

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