A method for the determination of the coefficient of rolling friction using cycloidal pendulum

Ciornei, Mariana-Catalina; Alaci, Stelian; Ciornei, Florina-Carmen; Romanu, I C

doi:10.1088/1757-899x/227/1/012027

Cited by 10 publications

(8 citation statements)

References 9 publications

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Section: Resultsmentioning

confidence: 99%

“…From the plot, it is remarked that the values of the ratio are one hundred times smaller than the values of the coefficient of sliding friction. This is an important feature of the conical pendulum compared to the planar pendula, [17,18] for which, for amplitude values greater than 15°..20°, the sliding friction replaces the rolling friction. In Table 1, there are presented the values obtained for the coefficients of rolling friction, dimensional sr [13,17,[29][30][31][32][33] and dimensionless μr [34,35] In Table 1, there are presented the values obtained for the coefficients of rolling friction, dimensional s r [13,17,[29][30][31][32][33] and dimensionless µ r [34,35]:…”

Section: Resultsmentioning

confidence: 99%

“…Two main classes of methods can be applied to evaluate the rolling friction torque: the first implies oscillatory motions, and the second uses non oscillatory motions. The first category uses pendula which make contact with the ground [15][16][17][18]. In this case, the estimation of rolling friction moment is based on experimental estimation of the damping of the rotation motion of a pendulum.…”

Section: Introductionmentioning

confidence: 99%

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Study of the Rolling Friction Coefficient between Dissimilar Materials through the Motion of a Conical Pendulum

2020

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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.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Study of the Rolling Friction Coefficient between Dissimilar Materials through the Motion of a Conical Pendulum

2020

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“…In this study, the rolling friction coefficient was determined by the slope method [27,28]. Because of the high sphericity of the selected urea particles, it can ensure that the particles The coefficient of static friction is an important factor that affects the repose angle of urea particles and is an important parameter in the design of fertilizer discharge devices.…”

Section: Rolling Friction Coefficientmentioning

confidence: 99%

Calibration and Testing of Discrete Element Simulation Parameters for Urea Particles

Dong

et al. 2022

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The lack of accurate simulation model parameters in the optimization design process of variable fertilizer application devices has resulted in large errors between simulation and theoretical calculation results, which has restricted the development of variable fertilizer application devices to a certain extent. Additionally, there are few scholars studying urea granules, so many parameters of urea granular fertilizer cannot be directly obtained from the literature. The aim of this study is to calibrate a set of simulation parameters by combining physical and simulation tests. In this study, intrinsic parameters were systematically determined, including the particle size, particle density, elastic modulus, Poisson’s ratio and their static friction coefficients, rolling friction coefficients and restitution coefficients of urea particles. By performing the urea particle stacking test, the static friction coefficient between urea particles was calibrated to 0.27, and the rolling friction coefficient between particles was 0.11. To check the reliability of the calibration parameters, the simulation and physical tests of the repose angle and bulk density of urea particles were compared, and the results show that the relative error of repose angles and bulk density of urea particles was 0.78% and 1.19%, respectively. Through the simulation of the mechanical variable fertilizer discharger and the comparison test of the benchtop fertilizer discharging performance, the maximum relative error between the simulation and physical test fertilizer discharge is 3.69% when the working length of the outer sheave is 25 mm; the maximum relative error between the simulation and physical test fertilizer discharge is 3.39% when the working length is 35 mm; the maximum relative error between the simulation and physical test fertilizer discharge is 6.86% when the working length is 45 mm; the maximum relative error between the simulation and physical test fertilizer discharge is 4.95% when the working length is 55 mm. The maximum relative error between the simulated and physical test fertilizer discharge was 6.86% at 45 mm opening and 4.95% at 55 mm opening, and the results show that the urea particle calibration parameters are reliable. The results of this study can provide a theoretical reference for the optimization design and simulation study of variable fertilizer application devices.

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“…Under this power-law dependency the tribological and energetically study is obviously more complicated given that not only the coefficients s s and r s must be found, but also the exponents s  and r  from the relations 3 and 4. In a series of recent works, [6][7][8][9][10], there were presented several methods and the devices used in the estimation of either the coefficient of spinning friction or of the coefficient of rolling friction.…”

Section: Introductionmentioning

confidence: 99%

Considerations on finding the rolling and spinning friction coefficients

et al. 2018

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The complex motion from a point contact has as consequence the occurrence of a friction torsor within both spinning and rolling friction exist. Additionally, recent researches showed that the two friction moments, spinning and rolling torques, are not proportional to the normal force. Here, the power law dependency is accepted and therefore, besides the coefficients of spinning and rolling friction, the exponents from the relations friction torque-normal force should be first determined. The paper proposes as method for finding the four parameters the use of the inclined plane principle. The acceleration of a revolution body in descending motion on the inclined plane is found for four different values of the tilting angle and a system of four equations is obtained. The detailed procedure of finding the solutions of the system is presented in the present paper.

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A method for the determination of the coefficient of rolling friction using cycloidal pendulum

Cited by 10 publications

References 9 publications

Study of the Rolling Friction Coefficient between Dissimilar Materials through the Motion of a Conical Pendulum

Study of the Rolling Friction Coefficient between Dissimilar Materials through the Motion of a Conical Pendulum

Calibration and Testing of Discrete Element Simulation Parameters for Urea Particles

Considerations on finding the rolling and spinning friction coefficients

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