Substantiation of parameters and modelling the operation of three-mass vibratory conveyer with directed oscillations of the working element

Abstract

The purpose of research. The main goal of the presented research consists in substantiation of inertial, stiffness and force (excitation) parameters of mechanical oscillatory system of three-mass vibratory conveyer with directed oscillations of the working element in order to provide the highly efficient (high-performance) resonant operation mode. Methodology. The technique of the research is based on fundamental concepts of engineering mechanics and theory of mechanical vibrations. In order to deduce the differential equations of motion of the mechanical oscillatory system of vibratory conveyer the Lagrange equations of the second order were used. The computation modelling of the system's motion caused by periodic excitation forces was carried out using MathCAD software with a help of Runge-Kutta method. Results. The existent structures of vibratory conveyers, as well as the fields and peculiarities of their implementation, are considered. The design of the three-mass vibratory conveyer with electromagnetic drive, directed oscillations of the working element, and resonant operation mode is proposed. The structural diagram of the conveyer's mechanical oscillatory system is developed and its dynamics is investigated. Scientific novelty. The mathematical model of motion of the mechanical oscillatory system of the proposed conveyer is formed. The numerical modelling of motion of the oscillating masses of the vibratory conveyer was carried out for different operation modes. The influence of the excitation parameters (the frequency and amplitude of the excitation force) on the characteristics of oscillations of the conveyer's working element was investigated. Practical value. The results of the carried out investigations can be used while designing and developing various vibratory equipment for conveying, separating and treating of different loose, bulky and piece-wise products.

Searching for the two­frequency motion modes of a three­mass vibratory machine with a vibration exciter in the form of a passive auto­balancer

“…It should be noted that three-mass vibratory machines are widely used in various industries [10][11][12][13][14][15][16][17][18].…”

“…Three-mass resonance vibratory machines are widely used in different industries. These machines include vibration polishing [11] and vibration lapping machines [12]; vibratory tables [13], vibratory conveyors [14], vibratory mills [15], vibratory transporters [16], etc. At the same time, the multi-mass vibratory machines possess a series of advantages over single-mass machines:…”

“…In [11][12][13][14][15][16][17][18], resonance oscillations are excited by electromechanical vibration exciters. The oscillation frequency of vibration exciters is automatically selected.…”

Research of anti­resonance three­mass vibratory machine with a vibration exciter in the form of a passive auto­balancer

“…It should be noted that two-and three-mass vibratory machines have been widely used in various industries [13][14][15][16][17][18][19][20]. The multi-mass structure makes it possible to design vibratory machines that almost do not transmit vibrations to the base.…”

“…Such machines include the anti-resonance vibratory machines. In the three-mass anti-resonance vibratory machines [15][16][17][18][19][20], the intermediate platform is visco-elastically attached to the base. An active platform (working) and a reactive platform (a dynamic oscillation damper) are visco-elastically attached to the intermediate platform.…”