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Selective mass scaling for explicit finite element analyses
Author(s) -
Olovsson Lars,
Simonsson Kjell,
Unosson Mattias
Publication year - 2005
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.1293
Subject(s) - scaling , finite element method , convergence (economics) , diagonal , domain (mathematical analysis) , frequency domain , mass matrix , scale (ratio) , work (physics) , computer science , mathematics , algorithm , statistical physics , mathematical analysis , physics , geometry , thermodynamics , quantum mechanics , nuclear physics , neutrino , economics , economic growth
Due to their inherent lack of convergence problems explicit finite element techniques are widely used for analysing non‐linear mechanical processes. In many such processes the energy content in the high frequency domain is small. By focusing an artificial mass scaling on this domain, the critical time step may be increased substantially without significantly affecting the low frequency behaviour. This is what we refer to as selective mass scaling. Two methods for selective mass scaling are introduced in this work. The proposed methods are based on non‐diagonal mass matrices that scale down the eigenfrequencies of the system. The applicability of the methods is illustrated in two example models where the critical time step is increased by up to 30 times its original size. Copyright © 2005 John Wiley & Sons, Ltd.