Determination of kinematic indices corresponding to a solid particle on a flat oscillating surface

7th International Conference on Advanced Concepts in Mechanical Engineering

Mosnegutu, E.^1 ; Nedeff, V.^1 ; Bontas, O.^2 ; Barsan, N.^1 ; Chitimus, D.^1 ; Rusu, D.^1

Environmental Engineering and Mechanical Engineering Department, Vasile Alecsandri University of Bacau, Romania^1

George Bacovia University of Bacau, Romania^2

关键词: Distribution models;    Friction coefficients;    General equations;    Graphical representations;    Inertial forces;    Mathematical analysis;    Oscillating surfaces;    Reference systems;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/147/1/012151/pdf
DOI  :  10.1088/1757-899X/147/1/012151

来源: IOP

【 摘 要 】

This articles presents a mathematical analysis having as purpose the understanding of the behaviour of a solid particle on a flat oscillating surface. The starting point of the analysis is the initial identification of the actions direction of forces on a solid particle placed on a flat oscillating surface, in a 3D reference system. Following the distribution of forces, for different specific cases of the behaviour of the solid particle, the general equations of kinematic indices could be determined, ksand kj. Due to achieving the 3D distribution model of forces acting on a solid particle, a new kinematic index could be determined, index corresponding to the sideways moving of the solid particle kl. Moreover, a series of graphical representations have been carried out, having as purpose the emphasis of the variation mode of the newly determined kinematic indices, as following: friction coefficient μ = 0.4; the angle of the inertial force to the flat oscillating surface, Φ = 0 - 180°; the angle between the projection of the inertial force on XOY plane and OX axis, α2, = 0 - 80o. After analyzing the graphical representations for the new calculation forms of the kinematic indices, kl variation has the same rate and trend as kj. If angle α2= 0o, the variation curve of ki index coincides with the variation curve of kj, and as we increase the value of angle α2, the variation curve of klindex moves away from the kjcurve.