## 5 Conclusions with Discussion of Future Work  
In this paper, a roller cage shoe device based on MRDs in series with a disc spring for buffering was designed. It aims to improve the operational efficiency and safety of mine hoisting system vibration-damping equipment. The structural design and magnetic circuit design of this roller cage shoe buffer were first carried out. A finite element model of the magnetic circuit was established to investigate the impact of key structural parameters on the magnetic induction intensity within the damping channel. The findings indicate that the magnetic induction intensity within the damping channel decreases as the width of the channel increases. It increases with a wider piston rod wing radius and a larger magnetic core radius. The thickness of the piston shell, however, exerts a relatively minor influence on the magnetic induction intensity. The combination of structural parameters of the magnetic circuit was optimized using the method of orthogonal tests, and the optimized MRD improved the output damping force by 58% compared with the pre-optimized one. A virtual prototype model of the MRD-based roller cage shoe buffer was created to validate the effectiveness of the optimized buffer. The simulation results demonstrate that the optimized buffer exhibits commendable damping performance and a rational design.  
The conception and design of this device furnish a crucial theoretical foundation for the investigation of roller cage shoes in mine hoisting systems. Additionally, it presents a fresh design approach for optimizing lug structures. Magnetorheological dampers also have great potential in mine hoisting vibration suppression due to their advantages of fast response speeds and adjustable damping forces, which can be further explored as a semi-active control strategy based on the new type of roller cage shoe proposed in this paper, which holds substantial academic importance and practical utility in guaranteeing the secure operation of the mine hoisting system.  
In the future, the on-site verification of the simulation system as well as the optimal design will be conducted to improve the reliability of the design. This is needed because this system is critical for the safety of the hoisting container. Another future work will be conducted on understanding the fault tolerance, robustness, and resilience of the system. It is noted that these concepts are relatively new, and interested readers are directed to references [22; 23].  
Conceptualization, Y.Z. and J.Y.; methodology, R.Y.; software, R.Y., D.L. and X.D.; validation, Y.Z. and R.Y.; formal analysis, J.Y.; investigation, R.Y., D.L. and X.D.; resources, Y.Z. and J.Y.; data curation, Y.Z. and R.Y.; writing--original draft preparation, R.Y.; writing--review and editing, Y.Z. and R.Y.; visualization, Y.Z. and R.Y.; supervision, J.Y.; project administration, J.Y.; funding acquisition, J.Y. All authors have read and agreed to the published version of the manuscript.  
This research was funded by the National Natural Science Foundation of China (Grant no. 51805273), the Qing Lan Project of Jiangsu Province, and the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD).  
The data presented in this study are available on request from the corresponding author. The data are not publicly available due to privacy.  
The authors declare no conflict of interest.