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Stability calculation of travelling waves in a simplified brake model
Author(s) -
Steindl Alois
Publication year - 2008
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200810383
Subject(s) - galerkin method , mechanics , cylinder , slip (aerodynamics) , traveling wave , ansatz , physics , boundary value problem , classical mechanics , geometry , mathematical analysis , mathematics , finite element method , quantum mechanics , thermodynamics
We consider a system composed of an elastic tube, which is fixed at the outer boundary and in frictional contact with a rigid cylinder, rotating inside the tube about the common axis. Using a 1–mode Galerkin ansatz in radial direction, a non–smooth PDE for the tangential and radial deformations at the contact between the two bodies is obtained. It has been shown ([1]) that different types of travelling stick–slip–separation waves exist, but these waves are unstable for most parameter values. In this investigation we first enlarge the model by viscuous damping and second we introduce a larger number of nodes in radial direction for the numerical analysis. The influence of these two effects on the shape and stability of the travelling waves is studied. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)