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为分析多向荷载作用下采空区顶板-矿柱体系的稳定性,将采空区顶板简化为弹性薄板,将矿柱简化为符合Kelvin-Voigt模型的粘弹性体,基于弹性板理论和流变力学理论建立多向荷载作用下采空区顶板-矿柱体系流变力学模型,研究垂直荷载和水平荷载共同作用下的采空区顶板-矿柱体系力学特性,推导采空区顶板的控制方程并采用伽辽金方法进行求解。将建立的流变力学模型应用于某煤矿老采空区稳定时间的预测之中,将预测值与现场监测数据进行了对比分析,验证了模型的可靠性。实践表明,建立的多向荷载作用下采空区流变力学模型能够有效地应用于采空区顶板-矿柱体系稳定时间的预测之中。
In order to analyze the stability of roof-pillar system in goaf under multi-directional loading, the roof of goaf was simplified as elastic thin plate, and the pillar was simplified as the viscoelastic body conforming to Kelvin-Voigt model. Based on the theory of elastic plate and flow The mechanics theory of roof-pillar system in goaf under multi-directional loading is established. The mechanical characteristics of roof-pillar system in goaf under vertical load and horizontal load are studied. The roof control of goaf is deduced The equation is solved by Galerkin method. The established rheological mechanics model is applied to the prediction of the stability time of the old goaf in a coal mine. The predicted value is compared with the on-site monitoring data to verify the reliability of the model. Practice shows that the established rheological mechanics model of goaf under multi-directional loading can be effectively applied to the prediction of the stability time of roof-pillar system in goaf.