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Modelling the transient interaction of a thin elastic shell with an exterior acoustic field
Author(s) -
Chappell David J.,
Harris Paul J.,
Henwood David,
Chakrabarti Roma
Publication year - 2007
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2253
Subject(s) - finite element method , boundary element method , shell (structure) , convergence (economics) , transient (computer programming) , stability (learning theory) , boundary value problem , mathematical analysis , mathematics , boundary (topology) , domain (mathematical analysis) , spherical shell , field (mathematics) , structural engineering , materials science , computer science , engineering , composite material , machine learning , pure mathematics , economics , economic growth , operating system
Coupled finite and boundary element methods for solving transient fluid–structure interaction problems are developed. The finite element method is used to model the radiating structure, and the boundary element method (BEM) is used to determine the resulting acoustic field. The well‐known stability problems of time domain BEMs are avoided by using a Burton–Miller‐type integral equation. The stability, accuracy and efficiency of two alternative solution methods are compared using an exact solution for the case of a thin spherical elastic shell. The convergence properties of the preferred solution method are then investigated more thoroughly. Copyright © 2007 John Wiley & Sons, Ltd.