Dynamic Contact between a Wire Rope and a Pulley Using Absolute Nodal Coordinate Formulation

Shoichiro Takehara,Masaya Kawarada,Kazunori Hase

doi:10.3390/machines4010004

Shoichiro Takehara, Masaya Kawarada + Show 1 more

Open Access

https://doi.org/10.3390/machines4010004

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Journal: Machines	Publication Date: Jan 21, 2016
Citations: 17	License type: CC BY 4.0

Affiliation: Sophia University, Tokyo Metropolitan University

Abstract

Wire rope and pulley devices are used in various machines. To use these machines more safely, it is necessary to analyze the behavior of the contact between them. In this study, we represent a wire rope by a numerical model of a flexible body. This flexible body is expressed in the absolute nodal coordinate formulation (ANCF), and the model includes the normal contact force and the frictional force between the wire rope and the pulley. The normal contact force is expressed by spring-damper elements, and the frictional force is expressed by the Quinn method. The advantage of the Quinn method is that it reduces the numerical problems associated with the discontinuities in Coulomb friction at zero velocity. By using the numerical model, simulations are performed, and the validity of this model is shown by comparing its results with those of an experiment. Through numerical simulations, we confirm the proposed model for the contact between the wire rope and the pulley. We confirmed that the behavior of the wire rope changes when both the bending elastic modulus of the wire rope and the mass added to each end of the wire rope are changed.

Highlights

Wire rope and pulley devices are used in various machines, such as cranes and elevators [1].As machine elements, they have various advantages, such as being lightweight, having a small footprint, and being useful in a wide variety of machines
We examine the force acting between the wire rope and the pulley and the resulting motion
We use the results of the numerical simulations, based on the formulation of Section 2, to analyze the behavior of the contact between the rope and the pulley

Summary

Introduction

Wire rope and pulley devices are used in various machines, such as cranes and elevators [1].As machine elements, they have various advantages, such as being lightweight, having a small footprint, and being useful in a wide variety of machines. Wire rope and pulley devices are used in various machines, such as cranes and elevators [1]. Cables are used to attach satellites to a mothership [2,3] or to operate vehicles remotely In each of these machines, pulleys are used to change the direction of the force and to transfer power. To ensure that these machines are used safely, it is important to consider the contact between the rope and the pulley. When using a pulley in microgravity, deformation occurs where the rope is wound, and this can lead to fractures. Most of the relevant research has been directed at the vibration of the rope [1,4,5]

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