Kaczmarczyk, S. and Mirhadizadeh, S. (2016) Quasi-stationary mechanics of elastic continua with bending stiffness wrapping on a pulley system. Journal of Physics: Conference Series. 721(012011), pp. 1-7. 1742-6588.
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Abstract:
In many engineering applications elastic continua such as ropes and belts often are subject to bending when they pass over pulleys / sheaves. In this paper the quasi-stationary mechanics of a cable-pulley system is studied. The cable is modelled as a moving Euler-Bernoulli beam. The distribution of tension is non-uniform along its span and due to the bending stiffness the contact points at the pulley-beam boundaries are not unknown. The system is described by a set of nonlinear ordinary differential equations with undetermined boundary conditions. The resulting nonlinear Boundary Value Problem (BVP) with unknown boundaries is solved by converting the problem into the ‘standard’ form defined over a fixed interval. Numerical results obtained for a range of typical configurations with relevant boundary conditions applied demonstrate that due to the effects of bending stiffness the angels of wrap are reduced and the span tensions are increased.
Additional Information:
Paper presented at 5th Symposium on the Mechanics of Slender Structures (MoSS2015) held 21–22 September, 2015 at Northampton
Subjects:
Creators:
Kaczmarczyk, S. and Mirhadizadeh, S.
Publisher:
IOP Publishing
Faculties, Divisions and Institutes:
Date:
2 June 2016
Date Type:
Published Online
Page Range:
pp. 1-7
Journal or Publication Title:
Journal of Physics: Conference Series
Volume:
721
Number:
012011
Language:
English
ISSN:
1742-6588
Status:
Published / Disseminated
Refereed:
Yes
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