## 5 Conclusions  
Facing the support challenges of short-wall working face (15-40 m) roadways in the 'excavation-backfill-retention' tunneling method for section coal pillars, traditional equipment struggled to achieve stable, reliable, and efficient support. This paper proposed a temporary support robot for the excavation and mining system of section coal pillars to ensure the safety of equipment and personnel in short-wall working faces. The support requirements of the section coal pillar excavation and mining system were analyzed, and the overall scheme of the temporary support system was proposed. The working principle of the temporary support robot was introduced. The temporary support robot consisted of two parts, support 1 and support 2, which advanced by pushing and pulling each other. A mechanical model for the stable support of the temporary support robot was established. The mechanical properties of the surrounding rock were analyzed, and the allowable range of the temporary support robot's supporting force under stable support conditions was determined while ensuring the stability of the surrounding rock. Based on the Stribeck friction theory, a dynamic model of the temporary support robot in the driving under pressure state was constructed. The boundary conditions of the dynamic model were set, and the corresponding relationship between the temporary support robot's supporting force and its maximum static friction force was determined. Precise dynamic modeling of heavy equipment under complex contact conditions was completed, accurately describing the influence of the supporting force and pushing (pulling) force on the movement during the temporary support robot's driving under pressure, and limiting the allowable range of the supporting force in the driving under pressure state. Through finite element simulation, the stress on the temporary support robot and the floor under the given load was analyzed, verifying that this load condition would not cause damage to the temporary support robot or the surrounding rock. Through multi-body dynamics simulation, the pushing (pulling) forces required for the temporary support robot's movement under different supporting force conditions were obtained. Compared with the theoretical values, the error was less than 1.2%, verifying the feasibility of the driving under pressure action under different supporting force conditions. In addition, through multi-body dynamics simulation, the driving under pressure process of the temporary support robot was analyzed. The changes in supporting force and displacement of support I and support II in the TSR were obtained. The model-predicted values and simulated values of the required pushing (pulling) forces were compared. The simulation results showed that the model's prediction accuracy was significantly better than that of the traditional simplified model, with an error of only 1.3%, validating the accuracy of the dynamic model. This research provided a safe and reliable support scheme for the excavation of short-wall working faces in section coal pillar mining, offering a new theoretical framework for the design and dynamic analysis of temporary support equipment in mining engineering. It holds significant academic value and broad application prospects, driving the development of support equipment towards higher precision, efficiency, and safety, and providing strong technical support for achieving the goals of mine safety production and green mining. **Author Contributions:** Conceptualization, H.M. and J.C.; methodology, J.C., C.W. and X.X. ; software, J.C.; validation, J.C., H.Z. and Q.M. ; formal analysis, P.L. ; investigation, Z.Y. ; resources, J.C.; data curation, W.C.; writing--original draft preparation, J.C.; writing--review and editing, Y.G. and P.W. ; visualization, H.T. ; supervision, H.S. ; project administration, H.M.; funding acquisition, H.M. and C.W. All authors have read and agreed to the published version of the manuscript.