The Nonlinear Dynamic Behavior of a Particle on a Vibrating Screen Based on the Elastoplastic Contact Model

Abstract

The dynamic response of particles is closely related to screening efficiency. To study the dynamic response of particles, the dynamic equations of a particle on a screening surface are established based on the elastoplastic contact model of spherical particles and are solved for the coal particle. Then, the trajectories of the particles are given with different falling heights and particle radii. The completely different trajectories with slight changes in the falling height and particle radius indicate strong nonlinearity. Second, the nonlinear dynamic behavior under different amplitudes and frequencies is discussed, and the route of transition from quasiperiodic motion to chaotic motion is revealed. Finally, we discuss the average speed along the screening surface considering the frequency, amplitude, friction coefficient, inclination angle, and vibration direction angle. In addition, the convergence conditions of particle motion are proposed, and they are only affected by the inclination angle and friction angle. The results show that in the normal direction of the vibrating screen, the particle motion is quasiperiodic at low frequencies. With increasing frequency, the motion of the particle becomes chaotic, and its Poincaré map becomes petal-shaped. In addition, the number of petals increases at the mutation of the bifurcation diagram. The increase in frequency, amplitude and inclination angle and the decrease in friction coefficient lead to an increase in particle speed along the screen surface. In addition, the particle speed reaches a maximum when the vibration direction angle is 65°. This work provides a theoretical basis for controlling the thickness of granular material flow on a vibrating screen and selecting screening process parameters.

Energy-force interactions in vibroimpact systems

“…In vibroimpact modes, resonant polyfrequency oscillations are excited in such significantly nonlinear systems, which are absolutely resistant to such changes in a wide range of changes in both the parameters of the system itself and the technological load [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. Such oscillations increase the efficiency of technological processes due to the intensification of the vibration effect, polyfrequency excitation of the technological medium and, due to resonant oscillations, the reduction of energy consumption, which is relevant and important for the domestic processing industry.…”

“…The main directions in increasing the efficiency of vibration technologies for the processing of mineral raw materials are the selection and optimization of dynamic load parameters of vibration equipment and technological raw materials on the working body, related to both energy-force interactions and the mechanical and structural characteristics of the raw materials. For polydisperse systems, which are the majority of technological materials at processing mineral raw, the optimal modes of vibration influence lie in the area of resonant polyfrequency excitation and require deep and independent regulation of the parameters of vibration excitation, taking into account the change in the values and characteristics of the technological load [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22].…”

Study on the Conveying Characteristics of a Hanged Harvester Vibrating Screen for Ligusticum Chuanxiong

“…We can obtain the curve of acceleration aBx′ by substituting the parameters in Table 1 into Equation (4). Similarly, we can obtain the curves of gsinα + Ff/m and gsinα-Ff/m by substituting the parameters of the vibrating mechanism into Equations (11) and (12), as shown in Figure 3c.…”

“…Thus, it is necessary to analyze the conveyance ability of the designed Chuanxiong harvester vibrating screen. Previous studies have analyzed the conveyance of the screen by conducting the analysis on particle force and particle motion process [12,13]. In the aspect of analyzing particle forces on screens, the previous study found that the non-linear forces on the residue in the direction of the screen surface mainly include inertial forces and sliding friction [14].…”

Comprehensive investigation of recycled PVC powder

“…Sieve analysis, a conventional and extensively employed method, serves as a staple for particle sizing. Additionally, image processing technology emerges as an alternative to mechanical sieving, enabling PSD determination and shape identification analysis (Chen et al, 2019; He et al, 2022).…”