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<p>This article investigates the multifrequency composite synchronization with four eccentric rotors (ERs) driven by inductor motors in a vibrating system. In engineering, multiple exciting frequencies are often applied to screen the mixed materials to ensure that reasonable screening can be performed according to different material shapes, viscosities, and other factors. This kind of vibrating screen equipment should satisfy its inherent dynamic characteristics to achieve multifrequency synchronization, which leads to the vibrating screen structure size being huge, making it difficult to meet the installation needs of some small spaces in engineering. To solve the above problems, a dynamic model of the miniaturized engineering structure is established, and its dynamic parameters are studied firstly. Four ERs are divided into two groups with different frequencies. The electromechanical coupling dynamical model is established. The feature analysis illustrates the synchronous condition and stability criterion according to the small parameter method. It is proved that multifrequency self-synchronization can’t achieve effective vibration screening under the miniaturized structure size. In addition, the above problems are solved by introducing control methods. A modified fuzzy adaptive sliding model (FASM) method is introduced to realize the multifrequency composite synchronization of fixed frequency ratio based on a master–slave controlling strategy. The stability of the control system is proved by the Lyapunov criterion and LaSalle invariant set principle. Subsequently, numerical simulations and experimental results are provided to validate the feasibility of the proposed theory of multifrequency composite synchronization based on the fixed-frequency ratio method. The research illustrates that the multifrequency self-synchronization of the miniaturized structure can’t be realized even if the parameters that best fit its dynamic characteristics are given. The multifrequency composite synchronization method can not only meet the screening requirements of the miniaturized structure size of the vibrating screen but also successfully reduce the cost of the vibrating screen. Finally, this research presents potential reference values to the invention of the vibratory screening equipment.</p>

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Research on composite synchronization of two groups of eccentric rotors with different frequencies based on one single motor control

  • 期刊论文

  • 发表日期：

    2025年6月4日

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  • Lei Jia,
  • Ran Chen,
  • Jiukai Qi

摘要

This article investigates the multifrequency composite synchronization with four eccentric rotors (ERs) driven by inductor motors in a vibrating system. In engineering, multiple exciting frequencies are often applied to screen the mixed materials to ensure that reasonable screening can be performed according to different material shapes, viscosities, and other factors. This kind of vibrating screen equipment should satisfy its inherent dynamic characteristics to achieve multifrequency synchronization, which leads to the vibrating screen structure size being huge, making it difficult to meet the installation needs of some small spaces in engineering. To solve the above problems, a dynamic model of the miniaturized engineering structure is established, and its dynamic parameters are studied firstly. Four ERs are divided into two groups with different frequencies. The electromechanical coupling dynamical model is established. The feature analysis illustrates the synchronous condition and stability criterion according to the small parameter method. It is proved that multifrequency self-synchronization can’t achieve effective vibration screening under the miniaturized structure size. In addition, the above problems are solved by introducing control methods. A modified fuzzy adaptive sliding model (FASM) method is introduced to realize the multifrequency composite synchronization of fixed frequency ratio based on a master–slave controlling strategy. The stability of the control system is proved by the Lyapunov criterion and LaSalle invariant set principle. Subsequently, numerical simulations and experimental results are provided to validate the feasibility of the proposed theory of multifrequency composite synchronization based on the fixed-frequency ratio method. The research illustrates that the multifrequency self-synchronization of the miniaturized structure can’t be realized even if the parameters that best fit its dynamic characteristics are given. The multifrequency composite synchronization method can not only meet the screening requirements of the miniaturized structure size of the vibrating screen but also successfully reduce the cost of the vibrating screen. Finally, this research presents potential reference values to the invention of the vibratory screening equipment.