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Automatic quadtree‐based modeling using a coupled SBFEM/SCM approach
Author(s) -
Gravenkamp Hauke,
Duczek Sascha,
Birk Carolin
Publication year - 2017
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201710119
Subject(s) - quadtree , polygon mesh , finite element method , computer science , representation (politics) , boundary (topology) , modal , algorithm , modal analysis , topology (electrical circuits) , mathematics , structural engineering , mathematical analysis , computer graphics (images) , engineering , materials science , combinatorics , politics , law , political science , polymer chemistry
We present an approach for the automatic image‐based modeling in computational mechanics. The geometry is divided into subdomains by employing a quadtree‐decomposition. The scaled boundary finite element method (SBFEM) can directly be applied to quadtree meshes without introducing hanging nodes, while the spectral cell method (SCM) allows for an accurate representation of curved boundaries. Hence, a combination of both methods can lead to highly accurate and reliable results in a fully automatic simulation environment. The performance of this coupled SBFEM/SCM approach is demonstrated by means of a modal analysis of a violin soundboard. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)