Analytical Model of the Two-Mass Above Resonance System of the Eccentric-Pendulum Type Vibration Table

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.

Determination of inertia-stiffness parameters and motion modelling of three-mass vibratory system with crank excitation mechanism

“…One of the ways of improving the energy efficiency of vibratory machines consists in implementation of three-mass oscillatory systems ensuring the possibilities of operation in so-called "multi-frequency" and "inter-resonance" modes [1][2][3]. Herewith, the vibrations can be excited by electromagnetic vibrators [1], air-operated vibrators [2], inertial drives [3][4][5][6], eccentric-type and crank mechanisms [7][8][9][10]. Each type of vibration exciter has its specific advantages and drawbacks, as well as the areas of implementation.…”

“…The problems of parametric synthesis and dynamic behavior analysis of various oscillatory systems with electromagnetic and inertial vibrators are thoroughly investigated in numerous publications, e.g. [1,[3][4][5][6], whereas the air-operated vibrators are not widely used in industrial vibratory equipment because of their design complexity and low efficiency [2].…”