Premium
On the Dynamics of Belt Drives
Author(s) -
Zwiers U.,
Braun M.
Publication year - 2005
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200510055
Subject(s) - pulley , dynamics (music) , nonlinear system , stiffness , belt drive , string (physics) , vibration , bending , geometry , classical mechanics , mathematics , geology , computer science , physics , engineering , structural engineering , theoretical physics , quantum mechanics , acoustics
In modelling the dynamics of belt drives, one has to distinguish between taut and slack belts. While the former can be described by a linear model, the latter is inherently nonlinear and needs a more sophisticated analysis. The paper at hand presents an analytical approach to modelling slack belts in plane motion. To simplify the setting, the pulleys are assumed to have equal radii, such that only one quarter of the total system needs to be considered. The extension to a more general geometry is straightforward. The belt is assumed to have non‐zero bending stiffness. The slackness of the belt should be high enough to allow .exural vibrations even if the belt is inextensible. The static and the stationary solutions are formulated analytically in terms of elliptic functions. As a preliminary study, the special case of a travelling string is considered yielding a .rst insight into the complexity of belt dynamics. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)