Geometrically exact Cosserat rods with Kelvin-Voigt type viscous damping

  • We present the derivation of a simple viscous damping model of Kelvin–Voigt type for geometrically exact Cosserat rods from three–dimensional continuum theory. Assuming a homogeneous and isotropic material, we obtain explicit formulas for the damping parameters of the model in terms of the well known stiffness parameters of the rod and the retardation time constants defined as the ratios of bulk and shear viscosities to the respective elastic moduli. We briefly discuss the range of validity of our damping model and illustrate its behaviour with a numerical example.

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Metadaten
Author:J. Linn, H. Lang, A. Tuganov
URN (permanent link):urn:nbn:de:hbz:386-kluedo-33206
Serie (Series number):Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (218)
Document Type:Report
Language of publication:English
Publication Date:2012/10/11
Year of Publication:2012
Publishing Institute:Fraunhofer-Institut für Techno- und Wirtschaftsmathematik
Number of page:[23]
Faculties / Organisational entities:Fraunhofer (ITWM)
DDC-Cassification:510 Mathematik

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