Dynamic analysis and drilling degrees of freedom

Thomas J.R. Hughes, Arif Masud, Isaac Harari

Research output: Contribution to journalArticlepeer-review


Finite element methods for dynamic analysis employing elements with drilling degrees of freedom are presented. The formulation is based on a variational principle in which displacements and rotations are interpolated independently. The issue of zero masses corresponding to rotational degrees of freedom is addressed and techniques for defining consistent and lumped rotational mass matrices are presented.

Original languageEnglish (US)
Pages (from-to)3193-3210
Number of pages18
JournalInternational Journal for Numerical Methods in Engineering
Issue number19
StatePublished - Oct 15 1995
Externally publishedYes


  • elastodynamics
  • finite elements
  • independent rotation fields
  • rotational mass matrices

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics


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