摘要
能量法因可以避免研究采场结构失稳破坏的中间复杂受力过程,所以受到研究者的青睐.人工矿柱是地下矿山一种重要的采场结构,由于其失稳破坏过程的应力、应变较复杂,因此从能量守恒的角度对其承载上覆岩体的稳定性进行综合评判和研究.通过对人工矿柱的受力特性和破坏模式进行分析,建立其力学模型,根据能量守恒原理得出考虑外载荷做功、自重势能和应变能条件下的人工矿柱总能量方程,推导出了人工矿柱势能函数表达式.基于突变理论知识,构建了在考虑弹性模量、高宽比等参数条件下的人工矿柱能量极限状态方程,根据势函数的稳定判据得出外载荷的临界应力函数关系式,系统讨论和分析了外载荷变化过程对人工矿柱稳定性的影响,定量评判了人工矿柱受外界载荷的影响程度.最后将所建立的临界应力函数关系式对焦冲金矿人工矿柱尺寸进行优化设计,经现场实测人工矿柱承受载荷约为其理论设计临界载荷的十分之一,达到安全支护规范要求;经过多年的金属矿山现场生产实践,人工矿柱及覆岩都较稳定,能够满足矿山安全生产的需要.研究结果表明所建立的人工矿柱能量极限状态方程,可为地下金属矿山人工矿柱的合理设计提供理论依据.
The energy law is favored due that it does not need to study the complicated stress process during the stope structure failure. Artificial pillar is an important mining field structure in underground mines. Due to the complicated stress and strain in the failure process, we evaluated the stability of the overlying strata by means of the energy conserva-tion. The simplified mechanical model is established through analyzing the mechanical properties and failure mode of the artificial pillar. The equation describing total energy of artificial pillar is derived fromthe energy conservation law. Note that the total energy is has taken account of external load work, gravity potential energy and the strain energy. We also deduced the expression of potential energy function of artificial pillar. Using the catastrophe theory, energy limit-state＆nbsp;equation of stability design of artificial pillar is built considering elastic modulus and the ratio of height to width. We discussed and analyzed the external load effect on the stability of artificial pillar. The impact on artificial pillar from ex-ternal loads was quantitatively evaluated. The practical application of relevant results in the Jiaochong Gold Mine proved the validity of research methods for years. The results of the study show that the established energy limit-state equation of artificial pillar, can provide theoretical guides for the artificial pillar’s scientific design and mechanics basis in metal mines.
出处
《力学学报》
EI
CSCD
北大核心
2016年第4期976-983,共8页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金(51304083)
江西省自然科学青年基金(20142BAB216020)资助项目
