Controlled synchronization of two nonidentical homodromy coupling exciters driven by inductor motors in a vibratory system

et al. 2020

Shock and Vibration

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From the perspective of theoretical derivation, numerical simulation, and engineering application, the vibratory synchronization characteristics of a dual-mass vibrating system driven by two exciters, were studied. The differential motion equations of the total system were calculated using Lagrange’s equations, and the responses of the vibrating system in the steady state were derived by Laplace transform. The synchronization criterion between two exciters was deduced by using the averaging method. Based on the Hamilton principle, the stability criterion of the vibrating system in synchronous states is given. According to the theoretical results, the coupling characteristics between two exciters such as synchronization and stability were analyzed numerically. Some analyses of the numerical simulation of the system were carried out, which fully support the theoretical results. The rotational speed of two exciters, their phase difference, responses, and difference of responses of two rigid bodies were studied quantitatively in the subresonant state and super-resonant state of the system. This paper presents a practical example of vibratory synchronization of a dual-mass system driven by two exciters in engineering.

Section: Synchronization Criterion Of Twomentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Synchronization of a Dual-Mass Vibrating System with Two Exciters

Liu

et al. 2020

Shock and Vibration

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“…[16][17][18] Zhang et al and Zhao et al 19,20 finish the speed synchronization with the controlling method. Kong et al [21][22][23][24] study the base frequency-controlled synchronization and finally realize the speed and phase synchronization. In their work, the adaptive sliding mode control (ASMC) algorithm is applied via a modified master-slave structure to realize the synchronization with a zero phase difference.…”

Section: Introductionmentioning

confidence: 99%

Multifrequency-controlled synchronization of three eccentric rotors driven by induction motors in the same direction

Jia

Journal of Low Frequency Noise, Vibration and Active Control

Zhou

et al. 2018

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This article presents the dynamic model of three eccentric rotors driven by induction motors and respectively derives the response equations of the three directions with different frequency in a vibrating system. On account of the difficulty to realize multifrequency self-synchronization, the controlling method is used to realize the synchronization of the speed and phase. In this article, the fuzzy PID method is introduced to control the vibrating system which is based on a masterslave controlling strategy. And a tracking method based on the phase ratio is proposed. The effectiveness and stability are shown in the numerical simulation and the experiment validation is given to certify the accuracy of the theory. In the meanwhile, the arbitrary of the multifrequency is also demonstrated. Finally, some conclusions are summarized to present the significant in the engineering.

“…Li et al use the adaptive sliding mode control algorithm to study the speed tracking and synchronization of multiple induction motors [13][14][15]. Kong xiangxi [16] et al study the two nonidentical homodromy coupling exciters driven by inductor motors in a vibratory system with controlled synchronization. In their work, the master-slave control strategy is used to control the speed with the method of PI and adaptive sliding mode.…”

Section: Introductionmentioning

confidence: 99%

“…Two inductor motors are symmetrically installed along the y axis on the rigid body which is established on an elastic foundation with four springs installed symmetrically. Using Lagrange's equations and choosing variables , , , 1 , and 2 as the generalized coordinates, the differential equations of motion of the vibratory system can be derived as follows [16]:̈+̇+…”

Section: Introductionmentioning

confidence: 99%

Multiple‐Frequency Controlled Synchronization of Two Homodromy Eccentric Rotors in a Vibratory System

Jia

Kong

et al. 2018

Shock and Vibration

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Multifrequency controlled synchronization of two homodromy eccentric rotors is investigated. The vibrating screen with two rotors is a typical underactuated system. So, the model of the vibrating screen is converted to a synchronization motion problem. Firstly, the mechanical-electromagnetic coupling dynamical model of the vibrating system is established. And then the fuzzy PID method is used for the two motors which are based on the master-slave control strategy. The slave motor uses the method of the phase ratio to trace the master motor and achieve the synchronous motion. Through the simulation, the two rotors cannot reach the state of multifrequency self-synchronization. And, then, it is realized by multifrequency controlled synchronization. The article presents the motion trails of the vibrating system between one and two times and realizes the zero phase difference after each period. Finally, some experiments are used to verify the accuracy and effectiveness of the conclusion in the simulation and analysis of the feature of the movement tracks.