Definition of rational operating modes of a vibratory jaw crusher

Abstract

Due to the continuous development of the building-and-construction industry, it is necessary to design new or modify outmoded industrial equipment. Using jaw crushers with the impact action of crushing plates on material is a perspective line of developing crushing equipment. Purpose. Developing a mathematical model of a vibratory jaw crusher and studying the operational process which is based on the mathematical model in order to design new crushers. Methodology. Definition of the crusher working process is based on the main statements of the theory of mechanical oscillations and the theory of continuous environment. In the motion equations of the crusher the material is taken into account on the basis of a discrete model by a continual parameter. Findings. A physical model is developed on the basis of which motion equations are derived, which include three main conditions of the efficient operation: 1) the elasticity of the second vibrating element must exceed or be equal to crushing force; 2) vibrations of the first and the third vibrating elements must be in phase, and vibrations of the second vibrating element must be in antiphase; 3) the summarized displacement of the second and the third crushing plates must ensure crushing of material. Graphs of the effect of the vibrating elements and elasticity coefficients of elastic systems on the amplitudes of vibrations are plotted and analyzed. On the basis of the motion equations, with consideration for the optimal parameters of the crusher vibrating elements and for the elasticity coefficients of the elastic systems, the amplitude-frequency characteristics of the crusher for different frequency ranges are determined. Set up is an equation describing the displacement of material in the crushing chamber for a time interval required for the crushing plates to be separated. Presented are graphs of dependency of the amplitude of vertical vibrations of the crusher casing on the elasticity of the isolating elastic system, and provided are recommendations for selecting and calculating vibration isolation. Originality. A mathematical model of an experimental vibratory jaw crusher and the characteristics of the experimental crusher are presented, on the basis of which recommendations are given for the selection of energy-efficient operating modes of the crusher. Practical value. Knowledge on the rational values of the frequency ranges for operation of the studied vibratory jaw crusher makes it possible to determine the optimal level of power consumed by the crusher and efficiency in processing materials of different hardness.

Perancangan Mobile Sample Preparation Unit Dengan Model Process Lay Out

“…Mode Operasi Rasional Jaw Crusher yaitu persamaan gerak dibangun dari model fisik, yang mencakup tiga persyaratan penting untuk operasi yang efektif: 1) Elastisitas elemen getar kedua harus lebih besar atau sama dengan gaya penghancur; 2) Vibrasi elemen getar pertama dan ketiga harus sefasa, sedangkan vibrasi elemen getar kedua harus antifase; dan 3) jumlah perpindahan pelat penghancur kedua dan ketiga harus memastikan penghancuran material (Mishchuk, 2021).…”

Research of processes of producing materials by technical power loading systems

“…The solution to this problem is complex and very voluminous, due to the use of biharmonic functions. Therefore, for further research, let's use the technique proposed for solving the stressstrain state of a body near the rupture zone, which has the shape of an ellipse [3,4].…”

“…Knowing all the unknown parameters of the equations of motion, graphs of the dependence of the amplitude of displacement of the crushing plates on the frequency of change in the disturbing force were built (Fig. 2.16, 2.17) [3,5].…”

“…-the effective mode of operation of the crusher is realized in the zone of the second resonance and in the range between the second and third resonances; frequency ranges, it is necessary to increase the masses of the vibration parts of the machine. The increased masses should not exceed the permissible limits, exceeding which will lead to the economic inexpediency of this machine design [3,5]. The study of the effect of frequency on the operation of the crusher with changing parameters of the disturbing force and stiffness is presented in the form of vibrograms in Fig.…”

Assessment of the current state of parameters and operating modes of technological technical systems

“…By the nature of the qualitative behavior under dynamic load in the medium (1.1), wave phenomena may appear or these phenomena are absent. Accounting for wave phenomena in the working medium can be estimated from the ratio of the wave propagation time t min and the oscillation period T [4] under the following conditions:…”