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<p>To explore the long-term stability and the linkage problem of failure instability for the synergistic bearing of roof–pillar support structure in goaf groups, a fractional viscoelastic mechanical model of roof–pillar in goaf groups was established based on the field investigation, and its time-dependent equations were solved. The reliability of the theoretical method was verified by case analysis, the time-dependent characteristics and coupling effects of roof–pillar synergistic bearing were analyzed, the correlation weights and sensitivity characteristics of roof–pillar synergistic bearing under the various factors were explored, and the linkage characteristics of pillar damage failure in goaf groups under the support of multiple pillars were studied. The crack evolution laws and failure instability coupling effect mechanism of roof–pillar supporting structure in goaf groups were revealed. The results show that with the increase of time, both the displacement of the roof and the pillar in goaf groups experience three stages of exponential increase, linear increase and sudden increase, the influence of the middle span pillar II on the peak displacement of roof is greater than that of the edge span pillars I and III, and the difference gradually decreases. During the synergistic bearing process, the roof is mainly influenced by its thickness-to-span ratio <i>f</i>, while the pillar is mainly influenced by its height-to-width ratio <i>ζ</i>, and the coupling effect between pillars is the most sensitive, followed by the roof and the edge span pillars I and III, and the roof and the middle span pillar II is the weakest. The dominant role of pillar instability is determined by the mutation damage value, the larger the mutation damage value of the pillar, the stronger its dominance. Furthermore, with the increase of the <i>f</i>, the failure mode of the roof gradually evolves from flexural deformation failure to overall shear failure, and the pillar is mainly compression-shear failure. With the increase of <i>ζ</i>, the failure mode of the pillar gradually evolves from pressure shear failure to shear-slip failure, the roof is mainly subject to shear failure. The research results can provide important theoretical guidance and practical application value for the long-term stability discrimination and disaster prevention of the goaf groups.</p>

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Coupling Time-Dependent Effect Mechanism of Failure Instability of Roof–Pillar Bearing System in Goaf Groups

  • 期刊论文

  • 发表日期：

    2026年5月20日

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  • Jinzhu Li,
  • Lichun Jiang,
  • Yu Xiong,
  • Min Chen

摘要

To explore the long-term stability and the linkage problem of failure instability for the synergistic bearing of roof–pillar support structure in goaf groups, a fractional viscoelastic mechanical model of roof–pillar in goaf groups was established based on the field investigation, and its time-dependent equations were solved. The reliability of the theoretical method was verified by case analysis, the time-dependent characteristics and coupling effects of roof–pillar synergistic bearing were analyzed, the correlation weights and sensitivity characteristics of roof–pillar synergistic bearing under the various factors were explored, and the linkage characteristics of pillar damage failure in goaf groups under the support of multiple pillars were studied. The crack evolution laws and failure instability coupling effect mechanism of roof–pillar supporting structure in goaf groups were revealed. The results show that with the increase of time, both the displacement of the roof and the pillar in goaf groups experience three stages of exponential increase, linear increase and sudden increase, the influence of the middle span pillar II on the peak displacement of roof is greater than that of the edge span pillars I and III, and the difference gradually decreases. During the synergistic bearing process, the roof is mainly influenced by its thickness-to-span ratio f, while the pillar is mainly influenced by its height-to-width ratio ζ, and the coupling effect between pillars is the most sensitive, followed by the roof and the edge span pillars I and III, and the roof and the middle span pillar II is the weakest. The dominant role of pillar instability is determined by the mutation damage value, the larger the mutation damage value of the pillar, the stronger its dominance. Furthermore, with the increase of the f, the failure mode of the roof gradually evolves from flexural deformation failure to overall shear failure, and the pillar is mainly compression-shear failure. With the increase of ζ, the failure mode of the pillar gradually evolves from pressure shear failure to shear-slip failure, the roof is mainly subject to shear failure. The research results can provide important theoretical guidance and practical application value for the long-term stability discrimination and disaster prevention of the goaf groups.