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Vertical vibration of a rigid circular disc embedded in a transversely isotropic and layered poroelastic half-space

机译:嵌入在横向各向同性和分层孔弹性半空间中的刚性圆盘的垂直振动

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Fundamental solution for the time-harmonic vertical vibration of a rigid circular disc embedded in a transversely isotropic and layered poroelastic half-space is developed using a semi-analytical method. First, based on the Green's function of the time-harmonic vertical circular load embedded in the layered half-space, function of the corresponding annular ring load is determined via the method of superposition. Then the disc-medium contact area is discretized into annular ring elements with unknown densities which are determined via an integral least-square approach. Finally, the dynamic vertical compliance is derived by virtue of the equilibrium between the applied load on the disc and the resultant contact stress. Based on the derived fundamental solution, selected numerical examples on the dynamic vertical compliance are presented to investigate the influence of the surface hydraulic condition, fluid saturation, embedment depth of the disc, material anisotropy, material layering, and input frequency.
机译:使用半分析方法开发嵌入在横向各向同性和层状孔弹性半空间中的刚性圆盘的时谐垂直振动的基本解决方案。首先,基于嵌入在层状半空间中的时谐垂直圆形负载的绿色功能,通过叠加方法确定相应的环形环形负载的功能。然后,盘介质接触面积被离散到具有未知密度的环形环形元件,其通过整体最小二乘方法确定。最后,借助于盘上施加的载荷与所得接触应力之间的平衡来导出动态垂直依从性。基于衍生的基本解决方案,提出了关于动态垂直顺应性的所选数值示例,以研究表面液压状态,流体饱和度,椎间盘的流体饱和度,嵌入深度,材料各向异性,材料分层和输入频率的影响。

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