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Contact of Flexible Elastic Belt with Two Pulleys

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Dynamics and Control of Advanced Structures and Machines

Abstract

The drive belt set on two pulleys is considered as a nonlinear elastic rod deforming in plane. The modern equations of the nonlinear theory of rods are used. The static frictionless contact problem for the rod is derived. The nonlinear boundary value problems for the ordinary differential equations are solved by the finite differences method and by the shooting method by means of computer mathematics. The belt shape and the stresses are determined in the nonlinear formulation which delivers the contact reaction and the contact area. The developed method allows performing calculations for any set of geometrical and stiffness parameters.

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Acknowledgements

This research is carried out in the framework of the joint project of the Russian Foundation for Basic Research (grant No. 14-51-15001) and the Austrian Science Fund (FWF, grant No. I 2093 International Project).

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Correspondence to E. A. Oborin .

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Belyaev, A.K., Eliseev, V.V., Irschik, H., Oborin, E.A. (2017). Contact of Flexible Elastic Belt with Two Pulleys. In: Irschik, H., Belyaev, A., Krommer, M. (eds) Dynamics and Control of Advanced Structures and Machines. Springer, Cham. https://doi.org/10.1007/978-3-319-43080-5_22

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  • DOI: https://doi.org/10.1007/978-3-319-43080-5_22

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