Topology optimization for acoustic-structure interaction problems

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Abstract

We propose a gradient based topology optimization algorithm for acoustic-structure (vibro-acoustic) interaction problems without an explicit interfacing boundary representation. In acoustic-structure interaction problems, the pressure field and the displacement field are governed by the Helmholtz equation and the linear elasticity equation, respectively, and it is necessary that the governing equations should be properly evolved with respect to the design variables in the design domain. Moreover, all the boundary conditions obtained by computing surface coupling integrals should be properly imposed to subdomain interfaces evolving during the optimization process. In this paper, we propose to use a mixed finite element formulation with displacements and pressure as primary variables (u/p formulation) which eliminates the need for explicit boundary representation. In order to describe the Helmholtz equation and the linear elasticity equation, the mass density as well as the shear and bulk moduli are interpolated with the design variables. In this formulation, the coupled interface boundary conditions are automatically satisfied without having to compute surface coupling integrals. Two-dimensional acoustic-structure interaction problems are optimized to show the validity of the proposed method.
Original languageEnglish
Title of host publicationIUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials
VolumePart 10
Place of PublicationNetherlands
PublisherSpringer
Publication date2006
Pages355-364
ISBN (Print)1-4020-4729-0
DOIs
Publication statusPublished - 2006
EventTopology Optimization for Acoustic-Structure Interaction Problems 2006 - Lisbon, Portugal
Duration: 1 Jan 20061 Jan 2006

Conference

ConferenceTopology Optimization for Acoustic-Structure Interaction Problems 2006
CountryPortugal
CityLisbon
Period01/01/200601/01/2006
OtherNo exact date found but held in 2006.
SeriesSolid Mechanics and Its Applications
Volume137
ISSN0925-0042

Keywords

  • Structure interaction
  • Harmonic loading
  • Dynamics
  • Acoustic
  • Mixed formulation
  • Coupled problems

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