Abstract

SUMMARYNoise reduction for passengers' comfort in transport industry is now an important constraint to be taken into account during the design process. This process involves to study several configurations of the structures immersed in a given acoustic cavity in the context of an optimization, uncertainty, or reliability study for instance. The finite element method may be used to model this coupled fluid–structure problem but needs an interface conforming mesh for each studied configuration that may become time consuming. This work aims at avoiding this remeshing step by using noncompatible meshes between the fluid and the structures. The immersed structures are supposed to be thin shells and are localized in the fluid domain by a signed distance level‐set. To take into account the pressure discontinuity from one side of the structures to the other one, the fluid pressure approximation is enriched according to the structures positions by a Heaviside function using a partition of unity strategy (extended finite element method). The same fluid mesh of the empty cavity is then used during the whole parametric study. The method is implemented for a three‐dimensional fluid and tested on academic examples before being applied to an industrial‐like case. Copyright © 2012 John Wiley & Sons, Ltd.

Highlights

  • Noise reduction of passenger acoustic compartment in transport industry is taking more and more importance in the final characteristics of a vehicle

  • €C is the structure surface in contact with the fluid domain where ı the unit normal vector is denoted by nCF ı the Heaviside function H. .M€C // is C1 € is the structure surface in contact with the fluid domain where ı the unit normal vector is denoted by nF with nF D nCF ı the Heaviside function H. .M€ // is 1

  • To show the ability of the proposed approach to perform a parametric study according to the structure position, the plane flexible structure is arbitrarily placed at four different positions, whereas the fluid mesh remains to be the same

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Summary

INTRODUCTION

Noise reduction of passenger acoustic compartment in transport industry is taking more and more importance in the final characteristics of a vehicle. The XFEM has already been used in the context of nonlinear fluid–structure interaction for structures embedded in a fluid flow [7,8,9] Other techniques such as immersed element method-like are developed to deal with noncompatible meshes for a fluid–structure interaction problem [10,11,12,13]. These approaches need either to have a thick solid structure or to refine the mesh around the interface to have good results. The last section shows the accuracy of the method by comparing the results to reference solutions and demonstrates the efficiency of the approach to compute different configurations of an industriallike problem

Description of the problem
Strong form of the equations
Weak form
Structure
MFF MFA
Integration of the enriched elements
BF T BF Z e F
US1 A2 US2
Validation on a parallelipipedic cavity
Convergence study on an immersed circular ring structure
Application to an industrial-like problem: an aircraft cabin
CONCLUSIONS
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