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

2019;
: 84-100
1
Lviv Polytechnic National University
2
Lviv Polytechnic National University
3
Lviv Polytechnic National University
4
Lviv Polytechnic National University
5
Lviv Polytechnic National University

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.

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