Composite synchronization of four exciters driven by induction motors in a vibration system
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ORIGINAL PAPERS
Composite synchronization of four exciters driven by induction motors in a vibration system Xiangxi Kong
. Chong Zhou . Bangchun Wen
Received: 2 October 2019 / Accepted: 17 September 2020 Ó Springer Nature B.V. 2020
Abstract In this paper, a newly composite synchronization scheme is proposed to ensure the straight line vibration form of a linear vibration system driven by four exciters. Composite synchronization is a combination of self-synchronization and controlled synchronization. Firstly, controlled synchronization of two pairs of homodromous coupling exciters with zero phase differences is implemented by using the master– slave control structure and the adaptive sliding mode control algorithm. On basis of controlled synchronization, self-synchronization of two coupling exciters rotating in the opposite directions is studied. Based on the perturbation method, the synchronization and stability conditions of composite synchronization are obtained. The theoretical results indicate that composite synchronization of four exciters with zero phase differences can be implemented with different supply frequencies and the straight line vibration form of the linear vibration system also can be obtained. Some simulations are conducted to verify the feasibility of the proposed composite synchronization scheme. The effects of some structural parameters on composite synchronization of four exciters are discussed. Finally, X. Kong (&) C. Zhou School of Mechanical Engineering, Shenyang University of Technology, Shenyang 110870, China e-mail: [email protected] B. Wen School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China
some experiments are operated to validate the effectiveness of the proposed composite synchronization scheme. Keywords Vibration system Composite synchronization Self-synchronization Controlled synchronization Induction motors
1 Introduction Linear vibration machines are widely used for processing and conveying granular material in the mining, metallurgy, food, manufacturing industries, such as linear vibratory feeders, linear vibratory conveyors, linear vibration screens, linear vibration dehydrators, etc. In the linear vibration machines, every motion trajectory of the points on the conveying surfaces is a straight line, whose direction is called the vibration direction. Therefore, granular material can move along the fixed conveying direction. In a type of linear vibration machines, two exciters rotating in the opposite directions are installed on the vibration body separately to provide the excitation force. According to the self-synchronization theory, two exciters can rotate synchronously with zero phase difference so that the vibration body can vibrate in a straight line form. Huygens firstly found self-synchronization of two clocks: two clocks hanging on an elastic beam
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Meccanica
could swing synchronously for some time. Recently, many researchers studied synchronizatio
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