Isogeometric FEM-BEM coupled structural-acoustic analysis of shells using subdivision surfaces

Liu, Z., Majeed, M., Cirak, F. and Simpson, R. N. (2018) Isogeometric FEM-BEM coupled structural-acoustic analysis of shells using subdivision surfaces. International Journal for Numerical Methods in Engineering, 113(9), pp. 1507-1530. (doi: 10.1002/nme.5708)

Abstract

We introduce a coupled finite and boundary element formulation for acoustic scattering analysis over thin shell structures. A triangular Loop subdivision surface discretisation is used for both geometry and analysis fields. The Kirchhoff-Love shell equation is discretised with the finite element method and the Helmholtz equation for the acoustic field with the boundary element method. The use of the boundary element formulation allows the elegant handling of infinite domains and precludes the need for volumetric meshing. In the present work the subdivision control meshes for the shell displacements and the acoustic pressures have the same resolution. The corresponding smooth subdivision basis functions have the C1 continuity property required for the Kirchhoff-Love formulation and are highly efficient for the acoustic field computations. We redverify the proposed isogeometric formulation through a closed-form solution of acoustic scattering over a thin shell sphere. Furthermore, we demonstrate the ability of the proposed approach to handle complex geometries with arbitrary topology that provides an integrated isogeometric design and analysis workflow for coupled structural-acoustic analysis of shells.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Simpson, Dr Robert and Liu, Dr Zhaowei
• Authors: Liu, Z., Majeed, M., Cirak, F., and Simpson, R. N.
• College/School: College of Science and Engineering > School of Engineering
• Journal Name: International Journal for Numerical Methods in Engineering
• Publisher: Wiley
• ISSN: 0029-5981
• ISSN (Online): 1097-0207
• Published Online: 07 October 2017
• Copyright Holders: Copyright © 2017 John Wiley and Sons Ltd
• First Published: First published in International Journal for Numerical Methods in Engineering 113(9):1507-1530
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher