Small external disturbances may destabilize the bearing pillar, which in turn will change the stress distribution of the pillar supporting system, leading to its overall instability. Based on the engineering background of a mine and the mechanical analysis of pillar under disturbed stress, this paper investigated the stress, strain, and plastic zone of the pillar supporting system under different disturbed stresses. Then, the chain instability of the pillar supporting system was achieved. The law of stress transfer and plastic development of the pillar supporting system was explored. The results showed that the greater the disturbed stress, the faster the increase rate of the maximum stress of the pillar supporting system. As the width of the pillar increased, the maximum stress of the pillar decreased, so its risk of damage decreased. As the disturbed stress increased, the maximum principal strain and equivalent plastic strain of the 6 m wide pillar increased approximately linearly, and their growth rates of the 4 m wide pillar gradually increased. In the process of chain instability of the pillar supporting system, the sides of the middle pillar were destroyed first, and then the plastic zone gradually penetrated, causing the stress of the adjacent pillar to increase, which in turn led to its destruction. By analyzing the monitoring data of stress, displacement, or plastic strain, the instability of the pillar can be predicted.

中文翻译：

---

不同扰动应力下地柱支护系统稳定性分析

小的外部扰动可能会使承重柱不稳定，进而改变柱支撑系统的应力分布，导致其整体不稳定。本文以某矿山工程背景为基础，通过扰动应力作用下支柱的力学分析，研究了不同扰动应力作用下支柱支撑体系的应力、应变和塑性区。然后，实现了支柱支撑系统的链条失稳。探讨了支柱支撑体系的应力传递和塑性发展规律。结果表明，扰动应力越大，支柱支撑系统最大应力的增加速度越快。随着支柱宽度的增加，支柱的最大应力减小，因此其损坏的风险降低。随着扰动应力的增加，6 m宽柱体的最大主应变和等效塑性应变近似线性增加，4 m宽柱体的增长速率逐渐增加。在支柱支撑系统链失稳过程中，中间支柱的侧面先被破坏，然后塑性区逐渐渗透，导致相邻支柱的应力增加，进而导致其破坏。通过分析应力、位移或塑性应变的监测数据，可以预测支柱的不稳定性。在支柱支撑系统链失稳过程中，中间支柱的侧面先被破坏，然后塑性区逐渐渗透，导致相邻支柱的应力增加，进而导致其破坏。通过分析应力、位移或塑性应变的监测数据，可以预测支柱的不稳定性。在支柱支撑系统链失稳过程中，中间支柱的侧面先被破坏，然后塑性区逐渐渗透，导致相邻支柱的应力增加，进而导致其破坏。通过分析应力、位移或塑性应变的监测数据，可以预测支柱的不稳定性。