A continuous piecewise internal friction model of hysteresis for use in dynamical simulations

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

The suitability of the internal friction models by Reid [Free vibration and hysteretic damping, Journal of the Royal Aeronautical Society 69 (1956) 283] and Muravskii [On frequency independent damping, Journal of Sound and Vibration 274 (2004) 653-668] for modelling hysteretic damping is investigated. Time-domain dynamical simulations of Reid's model reveal the presence of artefacts, which cause significant errors and solution stiffness in sub-resonant conditions. Muravskii's non-analytical modification of Reid's model is shown to be inconsistent with its primary goal of achieving continuity at the points of strain-rate reversal. An analytical constitutive equation for this model is derived and its implications discussed; the model is shown to be equivalent to Reid's model. Attempting to embody the original concept of Muravskii, a new variant of Reid's model is proposed, replacing the discontinuous sign function found in Reid and Muravskii with a continuous piecewise function. The new model is tested and compared to its predecessors for various steady state and transient oscillatory conditions, including resonance, and is found to be a competent alternative to the robust, but very frequency-sensitive, viscous model.

Original languageEnglish
Pages (from-to)297-316
Number of pages20
JournalJournal of Sound and Vibration
Volume324
Issue number1-2
DOIs
Publication statusPublished - Jul 10 2009
Externally publishedYes

Fingerprint

Internal friction
internal friction
Hysteresis
hysteresis
simulation
Damping
damping
Vibrations (mechanical)
vibration damping
free vibration
constitutive equations
Constitutive equations
continuity
strain rate
artifacts
Strain rate
stiffness
Stiffness
Acoustic waves
vibration

ASJC Scopus subject areas

  • Acoustics and Ultrasonics
  • Condensed Matter Physics
  • Mechanical Engineering
  • Mechanics of Materials

Cite this

A continuous piecewise internal friction model of hysteresis for use in dynamical simulations. / Spitas, Christos.

In: Journal of Sound and Vibration, Vol. 324, No. 1-2, 10.07.2009, p. 297-316.

Research output: Contribution to journalArticle

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