3D mass-redistributed finite element method in structural–acoustic interaction problems

Eric Li, Z. C. He, Yong Jiang, Bing Li

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

Abstract

A 2D mass-redistributed finite element method (MR-FEM) for pure acoustic problems was recently proposed to reduce the dispersion error. In this paper, the 3D MR-FEM is further developed to solve more complicated structural–acoustic interaction problems. The smoothed Galerkin weak form is adopted to formulate the discretized equations for the structure, and MR-FEM is applied in acoustic domain. The global equations of structural–acoustic interaction problems are then established by coupling the MR-FEM for the acoustic domain and the edge-based smoothed finite element method for the structure. The perfect balance between the mass matrix and stiffness matrix is able to improve the accuracy of the acoustic domain significantly. The gradient smoothing technique used in the structural domain can provide a proper softening effect to the “overly-stiff” FEM model. A number of numerical examples have demonstrated the effectiveness of the mass-redistributed method with smoothed strain.

Original languageEnglish
Pages (from-to)857-879
Number of pages23
JournalActa Mechanica
Volume227
Issue number3
Early online date18 Nov 2015
DOIs
Publication statusPublished - 31 Mar 2016

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