Response probability distribution of built-up vibro-acoustic systems

The Journal of the Acoustical Society of America
Edwin Reynders, R S Langley

Abstract

The vibro-acoustic response of built-up structures, consisting of stiff components with low modal density and flexible components with high modal density, is sensitive to small imperfections in the flexible components. In this paper, the uncertainty of the response is considered by modeling the low modal density master system as deterministic and the high modal density subsystems in a nonparametric stochastic way, i.e., carrying a diffuse wave field, and by subsequently computing the response probability density function. The master system's mean squared response amplitude follows a singular noncentral complex Wishart distribution conditional on the subsystem energies. For a single degree of freedom, this is equivalent to a chi-square or an exponential distribution, depending on the loading conditions. The subsystem energies follow approximately a chi-square distribution when their relative variance is smaller than unity. The results are validated by application to plate structures, and good agreement with Monte Carlo simulations is found.

References

Feb 12, 2005·The Journal of the Acoustical Society of America·P J Shorter, R S Langley
Feb 6, 2008·The Journal of the Acoustical Society of America·R S Langley, V Cotoni

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Citations

Sep 23, 2014·The Journal of the Acoustical Society of America·Edwin Reynders
Jul 6, 2014·The Journal of the Acoustical Society of America·Edwin ReyndersRobin S Langley

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