Finding the coefficient of rolling friction using a pericycloidal pendulum

The paper presents a method of establishing the coefficient of rolling friction by the study of the damped motion of a pericycloidal pendulum. The pericycloid is the curve described by a point belonging to a mobile circle, which is in pure rolling around a fixed circle, accomplishing an interior con...

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Bibliographic Details
Published in:IOP conference series. Materials Science and Engineering 2018-11, Vol.444 (2), p.22015
Main Authors: Alaci, S, Ciornei, F C, Bujoreanu, C, Ciornei, M C, Acsinte, I L
Format: Article
Language:English
Subjects:
Coefficient of friction
Contact angle
Equations of motion
Friction
Moments of inertia
Pendulums
Rolling resistance
Technical literature
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Summary:The paper presents a method of establishing the coefficient of rolling friction by the study of the damped motion of a pericycloidal pendulum. The pericycloid is the curve described by a point belonging to a mobile circle, which is in pure rolling around a fixed circle, accomplishing an interior contact. For a pendulum with known inertial characteristics, mass and moment of inertia, the equation of motion is found starting from the assumption of a linear dependence between the friction torque and the normal reaction force from contact point. Using an experimental set-up, the law obeyed by damped angular amplitude versus time is found for a pericycloidal pendulum. The experimental data are compared to the theoretical ones, by superposition; thus, the value of coefficient of rolling friction is obtained. The values are in a good agreement with the ones from technical literature.
ISSN:1757-8981
1757-899X
1757-899X
DOI:10.1088/1757-899X/444/2/022015