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Prediction of the response of a thin structure subjected to a turbulent boundary-layer-induced random pressure field

Mitra Esmailzadeh, Aouni A. Lakis

Technical Report (2009)

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Abstract

A method capable of predicting the root mean square displacement response of a thinstructure subjected to a turbulent boundary-layer-induced random pressure field ispresented. The basic formulation of the dynamic problem is an efficient approachcombining classic thin shell theory and the finite element method, in which the finiteelements are flat rectangular elements with six degrees of freedom per node. Thedisplacement functions are derived from thin shell theory. Description of the turbulentpressure field is based on the Corcos formulation for cross spectral density of pressurefluctuations. A numerical approach is proposed to obtain the total root mean squaredisplacements of the structure. Exact integration over surface and frequency leads to anexpression for the response in terms of the characteristics of the structure and flow. An in-houseprogram based on the presented method was developed. The total root mean squaredisplacements of a thin plate under different boundary conditions subjected to a turbulentboundary layer were calculated and illustrated as a function of free stream velocity anddamping ratio and the effects of flow direction on the response were also investigated. Inaddition, the power spectral densities of the displacements of an SFSF plate subjected to afully developed turbulent flow were studied. The total root mean square radial displacementof a thin cylindrical shell was obtained and compared favorably with that in the literature.
Subjects: 2100 Mechanical engineering > 2100 Mechanical engineering
2100 Mechanical engineering > 2104 Vibrations
Department: Department of Mechanical Engineering
PolyPublie URL: https://publications.polymtl.ca/2648/
Report number: EPM-RT-2009-06
Date Deposited: 06 Oct 2017 13:51
Last Modified: 10 Nov 2022 10:37
Cite in APA 7: Esmailzadeh, M., & Lakis, A. A. (2009). Prediction of the response of a thin structure subjected to a turbulent boundary-layer-induced random pressure field (Technical Report n° EPM-RT-2009-06). https://publications.polymtl.ca/2648/

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