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

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


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