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ORIGINAL PAPER
Analytical Model of the Two-Mass Above Resonance System of the Eccentric-Pendulum Type Vibration Table
1
Lviv Polytechnic National University, Institute of Engineering Mechanics and Transport, Department of Mechanics and Automation of Mechanical Engineering, Lviv, 79013, Ukraine
2
Lviv Polytechnic National University, Institute of Civil Engineering and Building Systems, Department of Strength of Materials and Structural Mechanics, Lviv, 79013, Ukraine
3
Lviv National Agrarian University, Faculty of Mechanic and Power Engineering, Department of Project Management and Occupational Safety, Lviv-Dubliany, 80381, Ukraine
Online publication date: 2020-11-26
Publication date: 2020-12-01
International Journal of Applied Mechanics and Engineering 2020;25(4):116-129
KEYWORDS
ABSTRACT
The article deals with atwo-mass above resonant oscillatory system of an eccentric-pendulum type vibrating table. Based on the model of a vibrating oscillatory system with three masses, the system of differential equations of motion of oscillating masses with five degrees of freedom is compiled using generalized Lagrange equations of the second kind. For given values of mechanical parameters of the oscillatory system and initial conditions, the autonomous system of differential equations of motion of oscillating masses is solved by the numerical Rosenbrock method. The results of analytical modelling are verified by experimental studies. The two-mass vibration system with eccentric-pendulum drive in resonant oscillation mode is characterized by an instantaneous start and stop of the drive without prolonged transient modes. Parasitic oscillations of the working body, as a body with distributed mass, are minimal at the frequency of forced oscillations.
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