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2018 | OriginalPaper | Chapter

Use of Hypocycloidal Motion in the Study of Rolling Friction

Authors : S. T. Siretean, I. Muscă, S. Alaci, F.-C. Ciornei

Published in: New Advances in Mechanism and Machine Science

Publisher: Springer International Publishing

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Abstract

The paper proposes a device for finding the coefficient of rolling friction using a sphere in contact with the inner surface of a ring that rotates about a horizontal axis. The motion of the ball is characterized by the fact that for a stipulated rotation speed of the ring the centre of the ball executes a damped oscillatory motion and at equilibrium the centre of the ball is situated on different vertical than the one the centre of the ring is positioned. It is assumed that this feature is produced by the rolling friction torque that is proportional with the normal pressing force and the nonlinear differential equation of motion is obtained for the intended dynamic model. By the integration of the equation of motion there are confirmed the oscillatory motion of the ball and the eccentric equilibrium position and it is found a dependency of equilibrium position on the coefficient of rolling friction.

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Literature
1.
go back to reference Alaci S. et al (2017) Estimation of coefficient of rolling friction by the evolvent pendulum method. IOP MSE 200 Alaci S. et al (2017) Estimation of coefficient of rolling friction by the evolvent pendulum method. IOP MSE 200
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3.
go back to reference Ciornei MC et al (2017) A method for the determination of the coefficient of rolling friction using cycloidal pendulum. IOP MSE 227 Ciornei MC et al (2017) A method for the determination of the coefficient of rolling friction using cycloidal pendulum. IOP MSE 227
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Metadata
Title
Use of Hypocycloidal Motion in the Study of Rolling Friction
Authors
S. T. Siretean
I. Muscă
S. Alaci
F.-C. Ciornei
Copyright Year
2018
DOI
https://doi.org/10.1007/978-3-319-79111-1_46

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