Pillar burst depends not only on the pillar itself but also on other components of the roof-pillar system. Instability theory is applied to optimize the critical condition of pillar instability, thus minimizing the likelihood of a pillar burst event. The instability mechanism and evolution process of a pillar burst for a rock beam embedded in an elastic foundation (EF) are investigated. The unmined orebody (UMO) is considered to be an EF; the pillar’s strain-softening behavior is described by a Weibull distribution. Pillar burst events occur in the post-peak strain-softening stage of the pillar and are mainly dependent on the pillar strength and stiffness ratio r_K of the UMO-roof-pillar system. The EF coefficient k_f reflecting the UMO property is an important factor affecting r_K. The maximum deviation of r_K reaches up to 198% when the UMO is regarded as a rigid foundation (RF), which emphasizes the importance of k_f in terms of overall system instability. A typical case of partial pillar recovery is simulated to demonstrate that EF hypothesis accurately reflects the UMO response in such a system. The instability conditions obtained by simulation analysis are consistent with the theoretical results. The instability of the UMO-roof-pillar system is the result of many factors, among which the thickness h_b and span l of the rock beam are extremely sensitive. The lateral pressure coefficient does not significantly affect pillar instability and can be neglected to some extent. The pillar burst evolution process can be divided into a stability stage, subcritical instability stage, instability stage, and post-instability stage.

支柱破裂不仅取决于支柱本身，还取决于屋顶-支柱系统的其他组件。应用不稳定性理论来优化支柱不稳定性的临界条件，从而将支柱爆裂事件的可能性降到最低。研究了嵌在弹性地基（EF）中的岩梁的立柱爆破的失稳机理和演化过程。未开采矿体（UMO）被认为是EF；柱的应变软化行为由Weibull分布描述。支柱突发事件时，在该立柱的后峰应变软化阶段和主要取决于柱的强度和刚度比ř _ķ的UMO屋顶柱体系。EF系数k _f反映UMO性质是影响r _K的重要因素。当将UMO视为刚性基础（RF）时，r _K的最大偏差高达198％，这强调了k _f在整个系统不稳定方面的重要性。模拟了部分支柱恢复的典型案例，以证明EF假设准确地反映了此类系统中的UMO响应。通过仿真分析得到的失稳条件与理论结果吻合。UMO屋顶-支柱系统的不稳定性是多种因素共同作用的结果，其中厚度h _b和跨度l的光束非常敏感。横向压力系数不会显着影响支柱的不稳定性，在某种程度上可以忽略不计。支柱爆发演化过程可以分为稳定阶段，亚临界不稳定阶段，不稳定阶段和后不稳定阶段。