基于弹性薄板模型的开放式充填顶板稳定性研究

Study on roof stability of open backfilling based on elastic plate model

采用超高水材料开放式充填技术的关键是保持顶板的完整性,将充填工作面分别简化为四边固支板、三边固支一边简支板、两边固支两边简支板、一边固支三边简支板和四边简支板5种边界支撑的弹性板,并基于虚功原理推导了弹性地基板以及四边受水平压力作用时弹性板挠度和弯矩的表达式,分析研究了板最大弯矩与推进距离的关系,为超高水材料开放式充填开采工作面开采宽度及工作面的布设方式设计提供依据。根据现场实测数据分析,对理论模型进行了验证。

The key of using super high water material open backfilling technology is to maintain the integrity of the roof. The filling face can be simplified into five kinds of boundary support elastic plate. They are： four edges clamped board, three edges clamped side of the simply supported plate, two sides clamped on both sides of the simply supported plate, one side clamped and trilateral simply-supported plate and plate with four simply supported edges. Furthermore, based on the principle of virtual work, the elastic foundation plate and the expression of elastic plate deflection and bending moment when four edges are affected by the horizontal pressure effect are deduced, and the relationship between plate maximum bending moment and forward distance are analyzed. Thus, the model provides the theoretical evidences for the mining width of super high water material open backfilling mining working face and the layout mode of working face. According to the analysis of field measured data, the correctness and reliability of the model can be verified.