Nonlinear transient dynamic analysis by explicit finite element with iterative consistent mass matrix

Research output: Journal Publications and Reviews › RGC 22 - Publication in policy or professional journal

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)201-217
Journal / PublicationCommunications in Numerical Methods in Engineering
Volume25
Issue number3
Publication statusPublished - 2009
Externally publishedYes

Link(s)

DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-65549089223&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(1a53bbb7-846c-446e-9cbb-5b1139348b82).html

Abstract

Various mass matrices in the explicit finite element analyses of nonlinear transient dynamic problems are investigated. The matrices are obtained as a linear combination of lumped and consistent mass matrices. An iterative procedure to calculate the inverse of the consistent and the mixed mass matrices in the framework of explicit finite element method is presented. The convergence of the iterative procedure is proved. The inverse of the consistent and mixed mass matrices is approximated by the iteration and is used to compare the results from the lumped mass matrix. For the impact of a structural component and a vehicle, some difference in the results by using coarse mesh is observed. For the component using fine mesh, no significant difference is found. Copyright © 2008 John Wiley & Sons, Ltd.

Research Area(s)

  • Consistent mass matrix, Explicit finite element, Iterative solver, Lumped mass matrix, Nonlinear transient dynamics

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Publication fingerprints text

100
Mass Matrix Engineering
100
Transient Dynamic A... Engineering
100
Consistent Mass Mat... Engineering
100
Finite Element Anal... Engineering
66
Iterative Procedure Engineering
66
Lumped Mass Matrix Engineering
33
Transients Engineering
33
Linear Combination Engineering
33
Fine Mesh Engineering
33
Coarse Mesh Engineering
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Citation Format(s)

[ RIS ] [ BibTeX ]
Nonlinear transient dynamic analysis by explicit finite element with iterative consistent mass matrix. / Wu, Shen Rong; Qiu, Weifeng.
In: Communications in Numerical Methods in Engineering, Vol. 25, No. 3, 2009, p. 201-217.

Research output: Journal Publications and Reviews › RGC 22 - Publication in policy or professional journal