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Research Article

Numerical and theoretical analysis of multi-pillar instability under elastic beams

ORCID Icon, , , , &
Article: 2353135 | Received 02 Apr 2024, Accepted 04 May 2024, Published online: 13 May 2024

Figures & data

Figure 1. Model of multi-pillar and goaf group.

Figure 1. Model of multi-pillar and goaf group.

Figure 2. Numerical test model of multi-pillar and goaf group at 848 m level.

Figure 2. Numerical test model of multi-pillar and goaf group at 848 m level.

Table 1. Basic mechanical parameters of rockmass (macro parameters).

Table 2. Input Weibull parameters of rockmass (mesoscopic parameters).

Figure 3. Numerical simulation results of CPF process of multi-pillar (or goaf group).

Figure 3. Numerical simulation results of CPF process of multi-pillar (or goaf group).

Table 3. Stress-strain State of multi-pillar system under initial in-situ stress.

Figure 4. Load transfer and sudden jump displacement of multi-pillar. (a) Load-displacement curves of pillars, (b) Displacement-step curves of pillars.

Figure 4. Load transfer and sudden jump displacement of multi-pillar. (a) Load-displacement curves of pillars, (b) Displacement-step curves of pillars.

Figure 5. Load-displacement curves and stability analysis of multi-pillar system.

Figure 5. Load-displacement curves and stability analysis of multi-pillar system.

Figure 6. Mechanical model of roof-multi-pillar-floor system.

Figure 6. Mechanical model of roof-multi-pillar-floor system.

Figure 7. Schematic diagram of instability evolution process of roof-multi-pillar-floor system.

Figure 7. Schematic diagram of instability evolution process of roof-multi-pillar-floor system.

Figure 8. Comparison between numerical and theoretical results. (a) Sudden jump of roof-multi-pillar-floor system, (b) energy release of roof-multi-pillar-floor system.

Figure 8. Comparison between numerical and theoretical results. (a) Sudden jump of roof-multi-pillar-floor system, (b) energy release of roof-multi-pillar-floor system.

Figure 9. Cascading pillar failure and load transfer effect analysis.

Figure 9. Cascading pillar failure and load transfer effect analysis.

Data availability statement

The datasets analyzed during the current study are available from the corresponding author on reasonable request.