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- Title
Nonlinear statics of extensible elastic belt on two pulleys.
- Authors
Belyaev, Alexander; Eliseev, Vladimir; Irschik, Hans; Oborin, Evgenii
- Abstract
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)
- Subjects
DIFFERENTIAL equations; COMPUTATIONAL mathematics; FINITE differences; ELASTIC rods &; wires; ELASTICITY
- Publication
PAMM: Proceedings in Applied Mathematics & Mechanics, 2016, Vol 16, Issue 1, p11
- ISSN
1617-7061
- Publication type
Article
- DOI
10.1002/pamm.201610004