“…From the recently published works concerning the synchronization of vibrators (Chen et al, 2016; Cieplok and Wojcik, 2020; Lyan et al, 2021; Zhang 2020; Zhang et al, 2020, 2021; Zhao et al, 2010), the dynamic model become more closely related to the actual vibrating machines including vibrating conveyor, vibrating screen, and vibrating mill, and so on. Besides, although the control synchronization (Fang et al, 2021; Fradkov et al, 2021; Huang et al, 2021; Jia et al, 2019; Li et al, 2022), multiple-frequency synchronization (Li and Chen, 2019; Zou et al, 2021), and composite synchronization (Kong and Wen, 2018) have also been investigated, the self-synchronization theory was still the most typical synchronization strategy used in engineering. With the development of synchronization theory, some scholars also paid attentions to other problems in designing vibrating machines, such as dynamic adjustment of vibration direction angle for the vibrating screen (Chen et al, 2020), and two-stage vibration isolation of vibratory shake-out conveyor (Fiebig and Wrobel, 2017).…”