中文摘要：

基于板壳弹性理论，将坚硬顶板视为弹性板，建立近水平和缓倾斜矿层顶板受力模型，得到其顶板挠度、弯矩和板内最大应力。结合现场观测，认为顶板挠度可衡量支护体受力情况。在顶板挠度形成过程中，可能产生最大挠度区域支护体受荷载最大，当由此产生的应力等于或大于支护体极限强度时，该区域支护体将先破坏；随后，这部分应力逐渐转移施加到周围支护体。结合现场观测数据及顶板失稳分析表明，越靠近顶板可能产生最大挠度区域支护体破坏越快，也越严重。因此，可根据采场顶板可能出现挠度大小来合理布置矿柱或实施充填，以实现矿山压力有效控制和技术经济最优化。

英文摘要：

A model to relate the mechanical behaviour of roof strata overlying horizontal/gently inclined orebody is built with hard roof as elastic plate and based on the theory of plates and shells to obtain the maximum stress of roof deflec- tion, bending moment and board. Combining with field observations, it is considered that the roof deflection can measure the supporting force. In the forming process of the roof deflection, the maximum loading may be generated at the regional sup- port with largest deflection. When the stress generated is equal to or greater than the ultimate strength of the supporting body,this supporting body will be destroyed. Subsequently, this part of stress is gradually transferred into the surrounding supporting body. Combined with field observation and roof instability analysis, it is indicated that the closer to the roof, the faster the support damaged at maximum deflection region, or the worst. Therefore, according to the roof deflection that may appear, it is rational to arrange the pillar or make filling to realize the efficient control of the ground pressure and the optimal technique and economy.