A continuous piecewise internal friction model of hysteresis for use in dynamical simulations
Journal of Sound and Vibration, ISSN: 0022-460X, Vol: 324, Issue: 1, Page: 297-316
2009
- 18Citations
- 8Captures
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Article Description
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.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S0022460X09001278; http://dx.doi.org/10.1016/j.jsv.2009.02.006; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=67349096685&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S0022460X09001278; https://api.elsevier.com/content/article/PII:S0022460X09001278?httpAccept=text/xml; https://api.elsevier.com/content/article/PII:S0022460X09001278?httpAccept=text/plain; https://dx.doi.org/10.1016/j.jsv.2009.02.006
Elsevier BV
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