Abstract

Within the framework of the state-of-the-art, this paper presents a summary of some common research works carried out by the authors concerning computational methods for the prediction of the responses in the frequency domain of general linear dissipative vibroacoustics (structural-acoustic) systems for liquid and gas in the low-frequency (LF) and medium-frequency (MF) domains, including uncertainty quantification (UQ) that plays an important role in the MF domain. The system under consideration consists of a deformable dissipative structure, coupled with an internal dissipative acoustic fluid including a wall acoustic impedance, and surrounded by an infinite acoustic fluid. The system is submitted to given internal and external acoustic sources and to prescribed mechanical forces. An efficient reduced-order computational model (ROM) is constructed using a finite element discretization (FEM) for the structure and the internal acoustic fluid. The external acoustic fluid is treated using a symmetric boundary element method (BEM) in the frequency domain. All the required modeling aspects required for the analysis in the MF domain have been introduced, in particular the frequency-dependent damping phenomena and model uncertainties. An industrial application to a complex computational vibroacoustic model of an automobile is presented.

Highlights

  • This paper presents a summary of some common research works carried out by the authors concerning computational methods for the prediction of the responses in the frequency domain of general linear dissipative vibroacoustics systems for liquid and gas in the low- frequency (LF) and medium-frequency (MF) domains, including uncertainty quantification (UQ)

  • We have presented a computational methodology that is adapted to the vibroacoustics predictions of complex industrial systems in the low- and medium-frequency bands

  • The vibroacoustic system is made up of a dissipative structure, coupled with a bounded acoustic cavity filled with a dissipative acoustic fluid, and coupled with an acoustic fluid occupying an unbounded external domain

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Summary

Introduction

This paper presents a summary of some common research works carried out by the authors concerning computational methods for the prediction of the responses in the frequency domain of general linear dissipative vibroacoustics (structural-acoustic) systems for liquid and gas in the low- frequency (LF) and medium-frequency (MF) domains, including uncertainty quantification (UQ). For parametric nonlinear HDMs, many approaches which can be applied to parametric linear HDMs have been proposed, including hyper-reduced ROM, which guarantees feasibility [49,50,51,52,53,54,55,56,57,58,59,60,61] With these methods, the parameter admissible space must be sampled at a few points using a greedy sampling algorithm (e.g., [62]), and a set of problems must be solved, yielding a set of parametric solution snapshots. Experimental validation with a complex computational vibroacoustic model of an automobile

Statement of the Problem in the Frequency Domain
Internal Dissipative Acoustic Fluid Equations
Structure Equations with Frequency-Dependent Constitutive Equation
Vibroacoustic Computational Model
Matrix Equation of the Computational Model
Construction of the Matrices of the Computational Model
Matrices Related to the Equations of the Structure
Matrices Related to the Equations of the Internal Acoustic Fluid
Vector of Mechanical and Acoustical Excitations
Reduced-Order Vibroacoustic Computational Model
Case of a Weak Coupling of the Structure with the Internal Acoustic Fluid
Case of a Strong Coupling of the Structure with the Internal Acoustic Fluid
Case of a Gas or a Liquid without Free Surface
Case of a Liquid with a Free Surface
Construction of the Reduced-Order Computational Model
Uncertainty Quantification for the Vibroacoustic Computational Model
Cases of Several Random Matrices
11. Conclusions
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