圆环板的弹性理论解及其在地压测试中的应用

    THE SOLUTION OF ELASTIC MECHANICS FOR ANNULAR PLATE AND ITS APPLICATION ON THE MEASURING OF EARTH PRESSRUE

    • 摘要: 本文在分析普通砂浆锚杆结构及其工作原理的基础,将承受围岩应力的锚杆托板简化为承受均布荷载的简支圆环板的力学模型。根据轴对称弯曲的圆环薄板的挠曲面微分方程,解得挠度公式,并根据边界条件求得了A0、B0、C0、D0各常数。通过三个算例讨论了该解的工程应用问题,为围岩状态监测提供了一种较简便、准确的新方法。

       

      Abstract: The paper analyses the structure and the principle of the common mortar bolt,and simplifies the bearing plate which supported by the wall-rock stress to the mechanical model of the simple annular plate which supported uniformly distributed loading.Based on the deflectional differential equation of the annular thin plate on the state of axisymmetric bending,the deflection equation is gained,and then the constant of A 0、B 0、C 0、D 0 according as the boundary condition.The paper discusses the engineering application through three examples,therefore it provides a more simple,convenience and exact new method for the state monitoring of wall-rock.

       

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