Scheidl, J., & Vetyukov, Y. (2022). Steady Motion of a Belt in Frictional Contact with a Rotating Pulley. In Hans Irschik, Michael Krommer, Valerii P. Matveenko, & Alexander K. Belyaev (Eds.), Dynamics and Control of Advanced Structures and Machines: Contributions from the 4th International Workshop, Linz, Austria (pp. 209–217). https://doi.org/10.1007/978-3-030-79325-8_18
Dynamics and Control of Advanced Structures and Machines: Contributions from the 4th International Workshop, Linz, Austria
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ISBN:
978-3-030-79325-8
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Date (published):
2022
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Event name:
4th International Workshop on Advanced Dynamics and Model Based Control of Structures and Machines
en
Event date:
22-Sep-2019 - 25-Sep-2019
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Event place:
JKU Linz, Austria
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Number of Pages:
9
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Peer reviewed:
Yes
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Keywords:
axially moving structures
en
Abstract:
The steady-state motion of belt drives is studied extensively in the literature. While traditional models rely on the theory of an extensible string, we aim to take bending effects into account. In this regard, it is well known that concentrated contact forces at the points of first and last contact with a pulley arise if shear deformations are restricted. To circumvent this issue, we utilise a shear deformable, Cosserat theory of rods. In particular, we study the contour motion of a belt that is transported over a single, rigid pulley with zones of stick, sliding friction and no contact. The Coulomb friction law governs the contact between the belt and the pulley. We present a novel finite element model that allows to obtain the steady-state solution directly. Furthermore, we deduce the corresponding closed boundary value problem and integrate it numerically. Results obtained for a particular parameter set demonstrate correspondence of the two approaches.