Finite element modeling of frequency-dependent material damping using augmenting thermodynamic fields

George A. Lesieutre, D. Lewis Mingori

Research output: Contribution to journalArticlepeer-review

168 Scopus citations

Abstract

A new method of modeling frequency-dependent material damping in structural dynamics analysis is reported. Motivated by results from materials science, augmenting thermodynamic fields are introduced to interact with the usual mechanical displacement field. The methods of irreversible thermodynamics are used to develop coupled material constitutive relations and partial differential equations of evolution. These equations are implemented for numerical solution within the computational framework of the finite-element method. The method is illustrated using several examples including longitudinal vibration of a rod, transverse vibration of a beam, and vibration of a large space truss structure.

Original languageEnglish (US)
Pages (from-to)1040-1050
Number of pages11
JournalJournal of Guidance, Control, and Dynamics
Volume13
Issue number6
DOIs
StatePublished - Nov 1990

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Applied Mathematics
  • Electrical and Electronic Engineering
  • Control and Systems Engineering
  • Space and Planetary Science

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