Broadband topology optimization of three-dimensional structural-acoustic interaction with reduced order isogeometric FEM/BEM

Leilei Chen, Haojie Lian*, Hao Wen Dong, Peng Yu, Shujie Jiang, Stéphane P.A. Bordas

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

Abstract

This paper presents a model order reduction method to accelerate broadband topology optimization of structural-acoustic interaction systems by coupling Finite Element Methods and Boundary Element Methods. The finite element method is used for simulating thin-shell vibration and the boundary element method for exterior acoustic fields. Moreover, the finite element and boundary element methods are implemented in the context of isogeometric analysis, whereby the geometric accuracy and high order continuity of Kirchhoff-Love shells can be guaranteed and meantime no meshing is necessary. The topology optimization method takes continuous material interpolation functions in the density and bulk modulus, and adopts adjoint variable methods for sensitivity analysis. The reduced order model is constructed based on second-order Arnoldi algorithm combined with Taylor's expansions which eliminate the frequency dependence of the system matrices. Numerical results show that the proposed algorithm can significantly improve the efficiency of broadband topology optimization analysis.

Original languageEnglish
Article number113051
JournalJournal of Computational Physics
Volume509
DOIs
Publication statusPublished - 15 Jul 2024

Keywords

  • Broadband
  • FEM/BEM coupling
  • Isogeometric analysis
  • Model order reduction
  • Structural-acoustic analysis
  • Topology optimization

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