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Large‐step explicit time integration via mass matrix tailoring
Author(s) -
González José A.,
Park K. C.
Publication year - 2019
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.6282
Subject(s) - mass matrix , finite element method , matrix (chemical analysis) , cutoff frequency , computer science , transient (computer programming) , algorithm , bending , cutoff , structural engineering , materials science , physics , engineering , optics , quantum mechanics , nuclear physics , neutrino , composite material , operating system
Summary A method for tailoring mass matrices that allows large time‐step explicit transient analysis is presented. It is shown that the accuracy of the present tailored mass matrix preserves the low‐frequency contents while effectively replacing the unwanted higher mesh frequencies by a user‐desired cutoff frequency. The proposed mass tailoring methods are applicable to elemental, substructural as well as global systems, requiring no modifications of finite element generation routines. It becomes most computationally attractive when used in conjunction with partitioned formulation as the number of higher (or lower) modes to be filtered out (or retained) are significantly reduced. Numerical experiments with the proposed method demonstrate that they are effective in filtering out higher modes in bars, beams, plain stress, and plate bending problems while preserving the dominant low‐frequency contents.