Modeling vibrating panels excited by a non-homogeneous turbulent boundary layer

Synthesis of wall pressure fields of non-homogeneous turbulent boundary layers for vibroacoustic simulations

“…Few attention has been carried out to this topic whereas the influence of an inhomogeneous TBL can not be negligible on the vibroacoustic behavior of the structure. This has been have recently highlighted by the present authors on a rectangular plate with varying thickness and excited by a TBL triggered at the upstream edge of the plate (Guillon et al, 2021). In this context, this article aims to propose a efficient and versatile process for predicting the vibratory response of a structure excited by a non-homogeneous TBL.…”

“…Using some hypotheses, the previous methods can be adapted to estimate the panel response to these non-homogeneous excitations. It was the purpose of the work presented in (Guillon et al, 2021) for the spatial and the wavenumber approaches. We are going to remind the main results for these two approaches before to extend the UWPW method, that constitutes the novelty of the present paper.…”

“…Compared to the spatial and wavenumber approaches, this one has the advantage that it can be easily used in standard element-based codes (Karimi et al, 2020a) while saving computing time (Maxit et al, 2015). The process for synthesizing the WPF for non-homogeneous TBL will be based, in a primary version, on the same assumptions that the sub-area decomposition technique (SDT) (Guillon et al, 2021). The excited surface of the panel will be decomposed in different sub-areas.…”

“…In an advanced version, the phase of the uncorrelated wall plane waves will be unchanged from one sub-area to another, that will permit to describe the correlations between the different sub-areas. The proposed technique will be compared on a test case to the spatial and the wavenumber methods that have been extended recently to non-homogeneous TBL excitation (Guillon et al, 2021).…”

“…-then, the section 3 deals on the extension of these methods to the non-homogeneous TBL. First, the principles of the spatial approach and the wavenumber approach, called the sub- area decomposition technique (SDT) (Guillon et al, 2021) are presented. Then, the theoretical framework of the extension of the UWPW method is proposed in order to take the spatial variations of the TBL into account.…”