Finding the coefficient of rolling friction using a pericycloidal pendulum

8th International Conference on Advanced Concepts in Mechanical Engineering

Alaci, S.^1 ; Ciornei, F.C.^1 ; Bujoreanu, C.^2 ; Ciornei, M.C.^3 ; Acsinte, I.L.^1

Stefan Cel Mare University of Suceava, Romania^1

Mechanical Engineering, Mechatronics and Robotics Department, Gheorghe Asachi Technical University of Iasi, Iasi, Romania^2

University of Medicine and Pharmacy Carol Davila, Bucharest, Romania^3

关键词: Angular amplitude;    Coefficient of rolling frictions;    Equation of motion;    Experimental set up;    Linear dependence;    Moment of inertia;    Normal reactions;    Technical literature;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/444/2/022015/pdf
DOI  :  10.1088/1757-899X/444/2/022015

来源: IOP

【 摘 要 】

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.