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

Shen Rong Wu; Weifeng Qiu

doi:10.1002/cnm.1110

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

Shen Rong Wu, Weifeng Qiu

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

21 Citations (Scopus)

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.

Original language	English
Pages (from-to)	201-217
Journal	Communications in Numerical Methods in Engineering
Volume	25
Issue number	3
DOIs	https://doi.org/10.1002/cnm.1110
Publication status	Published - 2009
Externally published	Yes

Research Keywords

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

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title = "Nonlinear transient dynamic analysis by explicit finite element with iterative consistent mass matrix",

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 {\textcopyright} 2008 John Wiley & Sons, Ltd.",

keywords = "Consistent mass matrix, Explicit finite element, Iterative solver, Lumped mass matrix, Nonlinear transient dynamics",

author = "Wu, {Shen Rong} and Weifeng Qiu",

year = "2009",

doi = "10.1002/cnm.1110",

language = "English",

volume = "25",

pages = "201--217",

journal = "Communications in Numerical Methods in Engineering",

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T1 - Nonlinear transient dynamic analysis by explicit finite element with iterative consistent mass matrix

AU - Wu, Shen Rong

AU - Qiu, Weifeng

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

KW - Consistent mass matrix

KW - Explicit finite element

KW - Iterative solver

KW - Lumped mass matrix

KW - Nonlinear transient dynamics

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U2 - 10.1002/cnm.1110

DO - 10.1002/cnm.1110

M3 - RGC 22 - Publication in policy or professional journal

SN - 1069-8299

VL - 25

SP - 201

EP - 217

JO - Communications in Numerical Methods in Engineering

JF - Communications in Numerical Methods in Engineering

IS - 3

ER -

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

Abstract

Research Keywords

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Erratum to "Nonlinear transient dynamic analysis by explicit finite element with iterative consistent mass matrix" [Commun. Numer. Meth. Engng 2009; 25(3):201-217. DOI: 10.1002/cnm.1110]

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