Position prediction of viscoelastic rope on traction sheave with rope-slip model

Lee, Kyunguk; Ahn, Sahoon; Hyun, Dong-geun; Seo, TaeWon

doi:10.1016/j.mechmachtheory.2022.105131

Cited by 6 publications

(2 citation statements)

References 22 publications

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“…The model was implemented for an open drive, but an iterative solution scheme was required [15]. The Belt Shear Theory was further developed for modelling the rope-sheave interaction of lifting applications [16,17] as well as recently modelled in more detail using a brush model by Frendo and Bucchi to consider the static stick-slip effect [8] and the influence of the belt elasticity [18].…”

Section: State Of the Artmentioning

confidence: 99%

Analytical Flat Belt Drive Model Considering Bilinear Elastic Behaviour with Residual Strains

Kumaran¹,

Weiss²,

Zogg³

et al. 2023

Preprint

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Section: State Of the Artmentioning

confidence: 99%

Analytical Flat Belt Drive Model Considering Bilinear Elastic Behaviour with Residual Strains

Kumaran¹,

Weiss²,

Zogg³

et al. 2023

Preprint

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“…In this case, contact is assumed to happen at single points where nodal points are permanently located thanks to the ALE approach. Lee et al [13] studied the dynamics of a reeving system using a viscoelastic model of the rope an a simplified rope-sheave contact method based on Firbank's Theory [14]. Their purpose is the accurate positioning of the payload.…”

mentioning

confidence: 99%

Rope–sheave contact transient analysis in hoisting operations with a bristle model and an arbitrary Lagrangian–Eulerian approach

Escalona

2024

Multibody Syst Dyn

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This paper describes the development of a computational model for the rope–sheave contact interaction in reeving systems when the ropes are modeled with an arbitrary Lagrangian–Eulerian approach. This discretization approach has been developed in previous publications as a general and systematic method for the modeling and simulation of reeving systems. However, the rope–sheave contact model was avoided assuming the no-slip contact condition. The contact model developed in this paper introduces specialized ALE-ANCF-cubic rope contact elements that are used to discretize the rope segment winded at the sheave. The contact is modeled using a set of virtual discrete bristles attached to material points in the mid-line of the rope in one end and in contact with the sheave in the other end. Therefore, a second Lagrangian mesh, apart of the ALE mesh used to discretize the rope, is used to define the fixed ends of the bristles. The kinematics and dynamics used to calculate the normal and tangential contact forces are described in detail. The contact model is 3D and can be used to analyze the contact with a sheave groove with arbitrary shape. The tangential contact force model can be used to describe stick and slip contact conditions and, to improve the simulation performance of the model, an LuGre regularization tangential contact force model is used. The rope-sheave contact model is used to analyze the behavior of a simple elevator system. The numerical results show that the static rope-sheave contact interaction agrees well with an analytical solution of the problem. Finally, the same elevator system is analyzed dynamically for a cabin ride of 8 meters with a steady velocity of 1 m/s. Results show that the normal and tangential contact forces during the steady velocity period are not so different from the static solution, but very different from the classical Creep Theory and Firbank’s Theory.

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An analytical solution of the rope-sheave contact in static conditions based on a bristle model

Escalona

2023

Mechanism and Machine Theory

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Position prediction of viscoelastic rope on traction sheave with rope-slip model

Cited by 6 publications

References 22 publications

Analytical Flat Belt Drive Model Considering Bilinear Elastic Behaviour with Residual Strains

Analytical Flat Belt Drive Model Considering Bilinear Elastic Behaviour with Residual Strains

Rope–sheave contact transient analysis in hoisting operations with a bristle model and an arbitrary Lagrangian–Eulerian approach

An analytical solution of the rope-sheave contact in static conditions based on a bristle model

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