考虑弹塑性变形的坚硬顶板关键层结构模型构建方法与解析及支护阻力影响因素分析

Construction method and analysis of key stratum structure model of hard roof considering elastic-plastic deformation and analysis of influencing factors of support resistance

  • 摘要: 关于坚硬顶板关键层结构的力学解析,已有较丰硕的研究成果,但这些解析均是将顶板岩层视为“刚体”的结果。为了更准确地分析坚硬顶板关键层结构的破断运移规律和力学作用,根据砌体梁理论和关键层理论,对“低位等效直接顶+高位砌体梁”采场覆岩结构模型进行了改进。将砌体梁破断的关键块结构由“刚体”改进为“弹塑性体”,建立了考虑弹塑性变形的砌体梁破断关键块结构模型,并解析了坚硬顶板关键层结构的力学作用和工作面支护阻力。采用Design-Expert软件,设计了五因素三水平响应面试验方案,针对关键块弹性极限应变、关键块厚度、上覆软弱岩层厚度、关键块长度和低位等效直接顶厚度等主要影响因素,开展了单因素及交互因素作用对工作面支护阻力的敏感性分析。结果表明:与“刚体”模型相比,“弹塑性体”模型的计算结果是水平推力增大,工作面支护阻力减小。“弹塑性体”模型的分析过程更符合材料的工程特性,计算结果更接近关键块结构的实际受力情况,因而能够更加准确地反映关键块结构受力过程的真实力学行为。各单一因素对工作面支护阻力的影响程度,由大到小依次为低位等效直接顶厚度、关键块厚度、关键块长度、上覆软弱岩层厚度和关键块弹性极限应变。由此可见,虽然决定“砌体梁破断关键块结构模型”的几何特征和荷载分布特征等关键因素对工作面支护阻力的影响较大,但当关键块厚度与长度比较低时,岩体力学属性的因素对工作面支护阻力的影响会显著增强。这就是将砌体梁破断的关键块结构由“刚体”改进为“弹塑性体”的理论意义和工程价值所在。关键块长度和低位等效直接顶厚度,即分别决定“高位砌体梁”和“低位等效直接顶”几何特性和荷载分布的因素,在发生交互作用时,对工作面支护阻力的影响最为显著。相较而言,仅决定“高位砌体梁”结构自身几何特性和荷载分布的因素发生交互作用时,其显著程度次之。改进模型考虑了顶板破断关键块的弹塑性变形和上覆荷载的动态变化,可为开采过程中坚硬顶板的稳定性分析提供更完善、更精准的理论依据。

     

    Abstract: The mechanical analysis of the key stratum structure of the hard roof has achieved fruitful research results, but these analyses are the results of treating the roof strata as “rigid bodies”. In order to more accurately analyze the fracture migration law and mechanical action of the key stratum structure of the hard roof, according to the theory of masonry beam and key stratum, the stope overburden structure model of “low equivalent immediate roof & high masonry beam” is improved. The key block structure of masonry beam breaking is improved from “rigid body” to “elastic-plastic body”, the key block structure model of masonry beam breaking considering elastic-plastic deformation is established, and the mechanical action of the key layer structure of the hard roof and the support resistance of the working face are analyzed. Using Design-Expert software, a five-factor and three-level response surface test scheme is designed. Aiming at the main influencing factors such as the elastic limit strain of the key block, the thickness of the key block, the thickness of the overlying soft rock layer, the length of the key block and the equivalent direct roof thickness, the sensitivity analysis of the single factor and the interaction factor on the support resistance of the working face is carried out. The results show that: Compared with the “rigid body” model, the calculation result of the “elastic-plastic body” model is that the horizontal thrust increases and the support resistance of the working face decreases. The analysis process of the “elastic-plastic body” model is more in line with the engineering characteristics of the material, and the calculation results are closer to the actual stress of the key block structure, so it can more accurately reflect the real mechanical behavior of the key block structure. The influence degree of each single factor on the support resistance of the working face from large to small is, in order, the low equivalent direct roof thickness, the thickness of the key block, the length of the key block, the thickness of the overlying soft rock layer and the elastic limit strain of the key block. It can be seen that although the key factors such as the geometric characteristics and load distribution characteristics of the “key block structure model of masonry beam breaking” have a great influence on the support resistance of the working face, when the ratio of the thickness of the key block to the length of the key block is low, the influence of the mechanical properties of the rock mass on the support resistance of the working face will be significantly enhanced. This is the theoretical significance and engineering value of improving the key block structure of masonry beam breaking from “rigid body” to “elastic-plastic body”. When the length of the key block and the low equivalent direct roof thickness, that is, the factors that determine the geometric characteristics and load distribution of the “high masonry beam” and “low equivalent immediate roof” respectively, interact with each other, the influence on the support resistance of the working face is the most significant. In contrast, when only the factors that determine the geometric characteristics of the “high masonry beam” structure and the load distribution interact, the degree of significance is second. The improved model considers the elastic-plastic deformation of the key block of roof breaking and the dynamic change of overlying load, which can provide a more perfect and accurate theoretical basis for the stability analysis of hard roof in the mining process.

     

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