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基于合理的弹性土波动方程 ,应用积分变换方法 ,研究了饱和半空间地基中埋置点源荷载的轴对称Lamb问题解答。借助数值Hankel反演 ,分析了地基表面竖向位移的变化规律 ,并考察了土的渗透性及激振频率对它的影响。本文的结论可应用于地下爆破及地下结构等动力分析 ,对工程实践有指导意义。
Based on the reasonable elastic wave equation, the method of integral transformation is used to study the solution of axisymmetric Lamb problem with point source load embedded in saturated half space. With the numerical Hankel inversion, the variation regularity of the vertical displacement of foundation surface was analyzed, and the influence of soil permeability and excitation frequency on it was also investigated. The conclusion of this paper can be applied to the dynamic analysis of underground blasting and underground structures, which is of guiding significance to engineering practice.