Kinematic analysis and geometrical parameters justification of a planetary-type mechanism for actuating an inertial vibration exciter

Abstract

Vibration exciters are of most important units of any vibratory equipment defining its design peculiarities, operational features, functional purpose, and performance characteristics. Among a great variety of vibration exciters, the unbalanced rotors are of the most widely used. The present research considers the possibilities of providing specific motion trajectories of the vibratory machines’ working members with the help of the planetary-type vibration exciter. The methodology of this study is divided into two main stages: deriving motion equations of an unbalanced mass located on a planet gear and analyzing the possibilities of generating rectilinear, elliptical, and circular motion paths by choosing the appropriate geometrical parameters of the planetary gear train. The results of the performed kinematic analysis are presented in the form of the unbalanced mass trajectories, velocities, and accelerations at different design parameters of the planetary-type mechanism. The main scientific novelty of the present study is substantiating the possibilities of using the single-degree-of-freedom planetary-type mechanism for generating the controllable motion trajectories of the unbalanced mass of an inertial vibration exciter. The obtained results can be practically implemented while developing novel adjustable drives for various vibratory equipment, particularly compactors, sieves, screens, and conveyors.

Force analysis of the planetary-type mechanisms of the enhanced vibration exciters

“…The obtained data agree with the previous publications of the authors, e.g. [16], [17], and allow for primary evaluation of the necessary torque and power of the motor to be applied for actuating the excitation mechanism.…”

“…The present research continues the authors' previous investigations published in [15]- [17]. The generalized design of an asymmetric self-adjustable planetary-type vibration exciter was initially proposed in [15].…”

“…while performing compacting processes); 2) in a horizontal direction (e.g., while conducting sieving processes); 3) in an inclined direction (e.g., while carrying out conveying processes). These three cases can take place when the geometrical parameters 𝑅 , 𝑙 , and 𝑙 are equal [17]…”

“…Further investigations were focused on the simplified symmetric design of the exciter allowing for generating the controllable circular, elliptical, and rectilinear trajectories of the single-mass oscillating systems [16]. The latest research results published in [17] were dedicated to kinematic analysis of the planetary-type mechanism that can be used as a vibration exciter of various vibratory technological machines. The present research is focused on the analysis of forces, moments, and torques acting upon the elements of the previously considered planetary-type mechanisms.…”