Phase and speed synchronization control of four eccentric rotors driven by induction motors in a linear vibratory feeder with unknown time-varying load torques using adaptive sliding mode control algorithm

Kong, Xiangxi; Zhang, Xueliang; Chen, Xiaozhe; Wen, Bangchun; Wang, Bo

doi:10.1016/j.jsv.2016.02.013

Cited by 53 publications

(33 citation statements)

References 17 publications

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“…Take equations (23) and (24) into equation (25), the approximation error equation of the system is deduced as…”

Section: The Stability Analysis Of the Vibrating Systemmentioning

confidence: 99%

“…[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%

See 1 more Smart Citation

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

Jia

Zhang

Zhou

et al. 2018

Journal of Low Frequency Noise, Vibration and Active Control

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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.

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“…Take equations (23) and (24) into equation (25), the approximation error equation of the system is deduced as…”

Section: The Stability Analysis Of the Vibrating Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Jia

Zhang

Zhou

et al. 2018

Journal of Low Frequency Noise, Vibration and Active Control

Self Cite

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“…Zhang et al investigated the synchronization of three coupled exciters rotating with the same directions in a far-resonant vibrating system, and the synchronization criterion and the stability criterion of the vibrating system are deduced [6]- [9]. In recent years, as vibration synchronization and the controlled synchronization have been widely used in mechanical engineering, Kong et al used the master-slave control strategy to design a speed controller and phase difference controller by the sliding mode control and proportional-integral control methods [10]- [12]. Chen et al studied the synchronization of two eccentric rotors with common rotational axis by applying the average method of small parameters, and he found that the vibration system has two steady motion modes [13]- [15].…”

Section: Introductionmentioning

confidence: 99%

Experimental Investigation on Synchronization of Two Co-Rating Rotors Coupled With Nonlinear Springs

Hou

Cheng

et al. 2020

IEEE Access

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This work is a continuation and verification of the original literature by using experimental strategy. Based on the published paper, in order to avoid anti-phase synchronization with two co-rotating rotors system, a vibrating system with two co-rotating rotors installed with nonlinear springs have been proposed, and then, the synchronous condition and the synchronous criterion of the system are theoretically derived. From the analysis mentioned, it is shown that the synchronous state is mainly determined by the structural parameters of the coupling unit, coupling coefficients and positional parameters of the two exciters, etc. The main objective of the present work is to investigate the synchronous mechanism by experiments and simulations in this paper. Some simulation computations are firstly implemented to explain the synchronous mechanism of the system. Additionally, an experimental strategy with synchronous tests and dynamic characteristic tests of the vibrating system are carried out to validate the correctness of the simulation analysis. The simulations and experiments demonstrate that the nonlinear springs can overcome the difference of residual torques of the two motors to realize the synchronization of near zero phase difference under the condition of in-phase difference between two exciters. Finally, the error analysis results among the dynamic testing, synchronous testing results and simulations are discussed. This research can provide theoretical reference for designing large-sized and heavy-duty Vibrating Screens.

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“…Fang proposed a rotor-pendulum system, and discussed the synchronization of the system in the different resonances (Fang and Hou, 2018). In light of active control strategy, Kong realized synchronous control of three and four eccentric rotors by using a sliding mode algorithm (Kong et al, 2016(Kong et al, , 2018. The above scholars mainly considered synchronous mechanism and synchronous control theory for selfsynchronous vibrating machines, but the self-synchronous theory in an anti-resonance system are less reported.…”

Section: Introductionmentioning

confidence: 99%

Synchronous characteristics of two excited motors in an anti-resonance system

Hou

Peng

Fang

et al. 2019

JAMDSM

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The aim of this paper is to research the synchronization of two excited motors in an anti-resonance system. After establishing the dynamic equations of the system by Lagrange equation, the displacement responses of the system and the ability of vibration isolation are determined. And the synchronous condition and synchronous stability criterion of the system are derived by using the average small parameter method and Hamilton's principle, respectively. Moreover, the influences of the structural parameters on synchronous characteristics between the rotors are discussed by numerical analysis. Then, the correctness of theoretical analysis is verified by numerical simulations. The research results show that, the ability of vibration isolation is mainly influenced by frequency ratios of the system; the synchronous ability of the system is improved with the increase of the distance between two motors; meanwhile, the synchronous behavior of the system is closely related to the mounting position and rotation direction between the motors. The research result can provide theory guidance for designing the antiresonance drilling fluid shakers.

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Phase and speed synchronization control of four eccentric rotors driven by induction motors in a linear vibratory feeder with unknown time-varying load torques using adaptive sliding mode control algorithm

Cited by 53 publications

References 17 publications

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

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

Experimental Investigation on Synchronization of Two Co-Rating Rotors Coupled With Nonlinear Springs

Synchronous characteristics of two excited motors in an anti-resonance system

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