Rheological Interpretation of Rayleigh Damping

dc.creatorSemblat, Jean-François
dc.date2009-01-23
dc.date.accessioned2026-07-07T12:33:46Z
dc.date.available2026-07-07T12:33:46Z
dc.descriptionDamping is defined through various terms such as energy loss per cycle (for cyclic tests), logarithmic decrement (for vibration tests), complex modulus, rise-time or spectrum ratio (for wave propagation analysis), etc. For numerical modeling purposes, another type of damping is frequently used : it is called Rayleigh damping. It is a very convenient way of accounting for damping in numerical models, although the physical or rheological meaning of this approach is not clear. A rheological model is proposed to be related to classical Rayleigh damping : it is a generalized Maxwell model with three parameters. For moderate damping (<25%), this model perfectly coincide with Rayleigh damping approach since internal friction has the same expression in both cases and dispersive phenomena are negligible. This is illustrated by finite element (Rayleigh damping) and analytical (generalized Maxwell model) results in a simple one-dimensional case.
dc.identifierhttps://arxiv.org/abs/0901.3717
dc.identifierhttp://arxiv.org/abs/0901.3717
dc.identifierJournal of Sound and Vibration 206, 5 (1997) 741-744
dc.identifierdoi:10.1006/jsvi.1997.1067
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217246
dc.subjectClassical Physics
dc.titleRheological Interpretation of Rayleigh Damping
dc.typetext

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