Synchronization of Two Eccentric Rotors Driven by One Motor with Two Flexible Couplings in a Spatial Vibration System

Abstract

A dynamic model of a vibration system, in which eccentric rotors are driven by one motor with two flexible couplings, is developed in this study. The Lagrange equation is used to analyze the dynamic behavior of the vibration system. Synchronization theory and its motion law are investigated using Hamilton’s principle, and the validity of the theory is proven through numerical simulation and experimentation. Results show that the system has two synchronous motions, namely, 0 and π phases. When the torsional stiffness difference between two flexible couplings on both sides of the motor or the resistance moment difference between two eccentric rotors increases, the eccentric rotors maintain the synchronization and stability of the vibration system by adjusting its phase difference. Synchronization theory and the analysis method of the flexible-drive vibration system are extended in this study. Moreover, the synchronous motion law of the vibration system based on bilateral flexible drive by one motor is revealed to provide guidance for the development of high-performance vibrating machines.

The Phenomenon of Bistable Phase Difference Intervals in the Times-Frequency Vibration Synchronization System Driven by Two Homodromy Exciters

“…As shown in equation (17), the term mω 2 m r 2 in the denominator is the exciting force multiplied by the eccentric radius of the exciter. It is far less than the stiffness coefficients k e0i (i � 1, 2) of the angular velocity of the motor of the exciter [27].…”

“…Since then, the synchronization theory in the mechanical system has been studied. Recent studies have shown that the vibration system also has double phase synchronization phenomena, which mainly exist in four forms: (1) the bistable phase synchronization phenomenon is natural to appear in some vibration systems with double vibration mass or multimass [8,9], including some rotor-pendulum systems [10,11]; (2) some vibration systems have the in-phase and antiphase synchronization phenomena when they operate in a subresonance or a superresonance state, respectively [12,13]; (3) the event of bistable phase difference intervals also exists in some near-resonance nonlinear vibration synchronous systems [8,10]; (4) it is more popularly known in the vibration synchronization system with two homodromy exciters located at a single vibration mass body [14][15][16], including rotor-pendulum systems [10] and two eccentric rotors with a common rotational axis system [17,18]. e inphase synchronization phenomenon between the two homodromy exciters appears when they are located at a relatively far distance, i.e., the stable phase difference interval is (− 90°, 90°).…”

Variation and Modal Characteristic of Tangential Threshing Cylinder Undergoing Threshing Dynamics

“…At this time, the tangential threshing cylinder is subjected to an eccentric load. e eccentric load of the tangential threshing cylinder is similar to the eccentric rotor on the motor [20]. e entanglement characteristics of the threshing cylinder were also changing as the grain continuously separated during the threshing process.…”

Experimental and theoretical investigation on synchronization of a vibration system flexibly driven by two motors

“…Based on the authors’ previous research, the vibration motor was increased to two. 20 The two-motor reverse-rotation condition that is more advantageous for material screening and conveying is analyzed. The eccentric rotors of the two motors are arranged in a general case with different masses and eccentricities.…”