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• W3208487025 abstract "This thesis deals with the vibroacoustics of complex systems over a broad frequency band of analysis and has been made as part of the vibroacoustics of automobiles. The system under consideration is composed of a complex structure coupled with an internal acoustic cavity. The complex structure is defined by a complex geometry, constituted of heterogeneous materials and of two types of structural levels: a stiff main part and numerous flexible sub-parts. In such a structure, the vibroacoustics model is represented by the usual global-displacements elastic modes associated with the main part, and by numerous local elastic modes, which correspond to the preponderant vibrations of the flexible sub-parts. However, in the framework of automobile vibroacoustic modeling, the main difficulty is the interweaving of the global displacements with the numerous local displacements, which introduce an overlap of the usual three frequency domains (low- (LF), medium- (MF), and high frequency (HF)). In the automotive industry, computational vibroacoustic models are used for predicting the internal noise levels due to structural excitations. However, the dimension of computational vibroacoustic models is very high. In this work, the computational model has 19 million of degrees-of-freedom (DOFs) for the structural part and 1 million of DOFs for the coupled acoustic cavity. Such a high dimension brings some computational challenges that are mostly overpassed by introducing a reduced-order computational model (ROM) constructed with a classical modal analysis. Nevertheless, the dimension of such ROM is still very important when the frequency band of analysis overlaps the LF, MF and HF domains. Consequently, a multi-level reduced-order model - for the structure is constructed over the LF, MF, and HF frequency bands. The strategy is based on a multi-level projection consisting in introducing three reduced-order bases (ROBs) that are obtained by using a spatial filtering methodology of local displacements. The filtering method requires the introduction of a set of global shape functions that define a subspace for projecting the mass matrix of the structure yielding a matrix for which the null space is made up of local displacements that need to be filtered out. In addition, a classical ROM using acoustic modes is carried out for the acoustic cavity. Then, the coupling between the multi-level reduced order model and the acoustic reduced-order model is presented. The nonparametric probabilistic modeling is then proposed in order to take into account the model uncertainties induced by modeling errors, errors whose effects increase with frequency.This novel stochastic multilevel ROM allows for adapting the level of uncertainties of the structure to each part of the broad frequency band, that is to the LF, MF, and HF sub-bands. One of the great difficulties of this work has been to develop a methodology and algorithms, which make it possible to analyze very large vibroacoustic computational models with computing times (CPU) which remain relatively low and which, moreover, do not lead to memory (RAM) problems requiring the use of external hard disks, which would make it impossible to use the developed method. The application presented consists of a very large digital vibroacoustic model of a car (structure coupled to an internal acoustic cavity). The numerical results obtained are those which were hoped for concerning their qualities and the feasibility of the calculations" @default.
• W3208487025 created "2021-11-08" @default.
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• W3208487025 date "2020-11-05" @default.
• W3208487025 modified "2023-09-23" @default.
• W3208487025 title "Stochastic multilevel reduced-order computational model in vibroacoustics applied to automobiles" @default.
• W3208487025 hasPublicationYear "2020" @default.
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