Multipulley Belt Drive Mechanics: Creep Theory vs Shear Theory

Alciatore, David G.; Traver, A. E.

doi:10.1115/1.2826711

Cited by 43 publications

(21 citation statements)

References 3 publications

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“…The integration constant M * can be determined using the continuity of the moment at the point s 1 . Then, we derive the following equations from (1):…”

Section: Contact Of Belt With Pulleysmentioning

confidence: 99%

“…First, we may utilize the solutions of the Saint-Venant problem comparing the complementary energies of the one-and three-dimensional solutions [14,15]. 1 Second, we may provide the asymptotic analysis of the three-dimensional problem with the small thickness [15] (this approach is more difficult than the previous one). However, the calculation of the compliance tensors is a separate topic beyond the scope of this work, and we use the simple formulae for them in Sect.…”

Section: Equations Of Nonlinear Contact Problemmentioning

confidence: 99%

“…[8,25] for general friction modelling. Particularly, the shear is of importance in the operation of the friction belt drive [1,7,18,21].…”

Section: Figmentioning

confidence: 99%

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Contact of two equal rigid pulleys with a belt modelled as Cosserat nonlinear elastic rod

et al. 2017

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The setting of a looped drive belt on two equal pulleys is considered. The belt is modelled as a Cosserat rod, and a geometrically nonlinear model with account for tension and transverse shear is applied. The pulleys are considered as rigid bodies, and the belt-pulley contact is assumed to be frictionless. The problem has two axes of symmetry; therefore, the boundary value problem for the system of ordinary differential equations is formulated and solved for a quarter of the belt. The considered part consists of two segments, which are the free segment without the loading and the contact segment with the full frictionless contact. The introduction of a dimensionless material coordinate at both segments leads to a ninth-order system of ordinary differential equations. The boundary value problem for this system is solved numerically by the shooting method and finite difference method. As a result, the belt shape including the rotation angle, forces, moments, and the contact pressure are determined. The contact pressure increases near the end point of the contact area; however, no concentrated contact force occurs. Mathematics Subject Classification

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“…The integration constant M * can be determined using the continuity of the moment at the point s 1 . Then, we derive the following equations from (1):…”

Section: Contact Of Belt With Pulleysmentioning

confidence: 99%

Section: Equations Of Nonlinear Contact Problemmentioning

confidence: 99%

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Contact of two equal rigid pulleys with a belt modelled as Cosserat nonlinear elastic rod

et al. 2017

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“…We must not forget the relations between the derivatives (17). For the first eight unknown variables we have already derived the equations of type (9).…”

Section: Contact Of Belt With Pulleysmentioning

confidence: 99%

“…[15,16] for general friction modelling. Particularly the shear is of importance in friction belt drive operation [17,18,19]. However, shear is known to be taken into account only together with tension (compression) if the nonlinear theory of rods is applied.…”

Section: Introductionmentioning

confidence: 99%