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介于岩体材料及爆破地震波的复杂性，采用理论分析方法难以对采空区顶板动力响应做出准确计算，而且求解出的计算公式通常比较复杂，工程上难以直接应用。FLAC3D数值模拟软件中的动力分析功能在解决岩土工程方面的非线性动力分析问题方面有巨大优势，能更深入的研究采空区顶板在爆破震动作用下的动应力场、动位移场和塑性区的变化规律及动静应力场的叠加作用机理。在理论研究的基础上，借助 FLAC3D提供的动力分析功能，建立数值计算模型，对静力荷载和爆破动载共同作用下采空区顶板失稳过程和机理进行数值模拟分析。“,”The roof of mined area is relatively weak,and the goaf roof is one of the most serious accidents in underground metal mines.The underground workers will not only pose a threat to the safety,but also have a significant impact on the production and management of underground pressure.There are many factors to affect the goaf roof stability.The stress distribution and the blasting vibration are the two most important factors.This papermainly uses the method of theoretical analysis to be combined with numerical simulation,from static and dynamic two aspects of goaf roof stability of the stress in the weight and load of blasting under dynamic loads.The main contents of the thesis are the following:using the elastic vibration theory of thin plate down the top plate under uniform harmonic pulse displacement under load to calculate formulas for stress analysis.The damping,including the dynamic load strength,influence of dynamic frequency response of roof strata,and the dynamic response in the empty mining district under dynamic and static loads of roof are all analyzed.