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Nonlinear statics of extensible elastic belt on two pulleys
Author(s) -
Belyaev Alexander,
Eliseev Vladimir,
Irschik Hans,
Oborin Evgenii
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610004
Subject(s) - statics , pulley , nonlinear system , boundary value problem , tension (geology) , extensibility , unilateral contact , rod , mathematical analysis , mathematics , plane (geometry) , shooting method , ordinary differential equation , structural engineering , mechanics , geometry , differential equation , physics , classical mechanics , computer science , engineering , finite element method , quantum mechanics , moment (physics) , operating system , medicine , alternative medicine , pathology
The drive belt set on two pulleys is considered as a plane elastic rod. The nonlinear theory of rods with tension is used. The static frictionless contact problem for the rod is formulated. The derived boundary value problem for the nonlinear ordinary differential equations is solved by the finite difference method and by the shooting method by means of computer mathematics. The belt shape and the stresses are determined. The contact reaction and the contact area are obtained in the solution. A benchmark study of extensible and inextensible models is performed. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)