Abstract
The excitation of structures by turbulent boundary layer requires the consideration of the cross-spectral density for all degrees of freedom excited by the pressure fluctuations. This leads to large and computationally expensive matrices for the calculation of the structural response or even radiation into the fluid. This paper deals with the comparison of different methods to reduce the size of the problem. One option is the decomposition of the cross-spectral matrix into major principal components in order to represent the random matrix by few deterministic load cases. The second option is the conversion of the random equations of motion into modal space. A detailed investigation of the matrix coefficients under diffuse acoustic field and turbulent boundary layer excitation shows in which case the off-diagonal coefficients may be neglected. The paper concludes with an evaluation of the precision and a discussion about the computational expense of all applied methods as far as the advantages and disadvantages of each method.
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Notes
- 1.
Usualy, expression (13) is given for the mean square pressure in the diffuse field and not at the surface. The surface mean square pressure is doubled compared to the room or diffuse field pressure.
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Peiffer, A., Mueller, U.C. (2019). Review of Efficient Methods for the Computation of Transmission Loss of Plates with Inhomogeneous Material Properties and Curvature Under Turbulent Boundary Layer Excitation. In: Ciappi, E., et al. Flinovia—Flow Induced Noise and Vibration Issues and Aspects-II. FLINOVIA 2017. Springer, Cham. https://doi.org/10.1007/978-3-319-76780-2_15
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DOI: https://doi.org/10.1007/978-3-319-76780-2_15
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