基于尖点突变理论的大跨度巷道顶板稳定性分析

基于尖点突变理论并结合巷顶板组合梁力学模型,建立了大跨度巷道顶板系统的失稳判据。顶板失稳判据表明:巷顶板失稳的临界状态取决巷道宽度、巷顶板垂直应力及水平应力的组合。当顶板侧压大于5MPa时,随巷宽的增大,引起顶板失稳的顶压由大变小;当侧压小于5MPa时,不论巷宽如何,顶板在失稳时所能承受的顶压基本相同。对于跨度大于5m的巷道,随着侧压的增大,能引起顶板失稳的顶压先增大后减小。在顶压一定的情况下,大跨度巷道顶板在侧压较小或较大时都可能失稳。

Stability analysis of large-span roadway roof based on cuspcatastrophe theory

Instability criterion of large-span roadway roof is established based on cusp catastrophe theory and mechanical model of roof composite beam. The criterion shows: critical state of instability about roadway roof depends on combination of roadway width, roadway roof vertical stress and horizontal stress. When the roof side pressure is greater than 5MPa,the roof top pressure causing instability is from large to small with roadway width increasing; When the roof side pressure is smaller than 5MPa ,the roof top pressure is all most same with any roadway width. When the roadway span than 5m,the roof top pressure causing instability is from large to small with roof side pressure increasing. When the top pressure is a constant, the roof of large-span roadway maybe occur instability with smaller or larger roof side pressure.