Study of the Rolling Friction Coefficient between Dissimilar Materials through the Motion of a Conical Pendulum
| Autor: | I. Muscă, Stelian Alaci, Ștefan-Gheorghe Pentiuc |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
business.product_category
Differential equation Rolling resistance 02 engineering and technology conical pendulum Conical pendulum lcsh:Technology Article 0203 mechanical engineering motion detection General Materials Science OpenCV Inclined plane lcsh:Microscopy rolling friction coefficient lcsh:QC120-168.85 Physics damped oscillations lcsh:QH201-278.5 Plane (geometry) lcsh:T Motion detection Mechanics 021001 nanoscience & nanotechnology Rigid body Physics::Classical Physics image processing 020303 mechanical engineering & transports Amplitude lcsh:TA1-2040 lcsh:Descriptive and experimental mechanics lcsh:Electrical engineering. Electronics. Nuclear engineering 0210 nano-technology business lcsh:Engineering (General). Civil engineering (General) lcsh:TK1-9971 |
| Zdroj: | Materials, Vol 13, Iss 5032, p 5032 (2020) Materials Volume 13 Issue 21 |
| ISSN: | 1996-1944 |
| Popis: | The rolling friction phenomenon is encountered in a wide range of applications and when two different materials are involved, quantitative characterization is necessary. The parameter to be determined is the coefficient of rolling friction, for whose estimation a methodology is proposed, based on the damped oscillation of a conical pendulum. The pure rolling contact between a sphere and a plane is obtained when a steel ball is the bob of the pendulum, which rolls on an inclined plate made from a second material from the contacting pair. The mathematical model of the motion of a conical pendulum constructed from a revolution body supported on an inclined plane in the presence of the rolling friction is developed. The dynamic equations of the rigid body with fixed point are applied and the differential equation of motion of the pendulum is obtained together with the expressions of the reaction forces in the contact point. For different pairs of materials, tests are performed on a laboratory device. The damped oscillatory motion of the conical pendulum is video-captured for the estimation of the angular amplitude variation. A program for image processing is developed for measuring the values of angular elongations from the analysis of each frame of the video and, finally, the coefficient of rolling friction is obtained. For all the materials tested, a linear decrease in angular amplitude is detected and the slope of angular amplitude can be considered as a characteristic parameter related to the coefficient of rolling friction between the two materials. |
| Databáze: | OpenAIRE |
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