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为了简便有效地解决层状半无限体的边界问题，本文根据弹性动力学原理，建立了轴对称动力课题的一种有限元－无限元耦合解答，并将其与匀质半无限体中的理论解进行了比较。作为应用，文中分析了桩的动力响应问题，发现桩顶面的点阻抗与传递阻抗在较高频段存在较大的差别，在用机械阻抗法检测桩体质量时对此宜引起注意。
In order to solve the boundary problem of layered semi-infinite bodies simply and effectively, a finite element-infinite element coupled solution for axisymmetrical dynamic problems was established based on the principle of elastic dynamics, and the theory in the homogeneous semi-infinite body was established. The solution was compared. As an application, the paper analyzes the dynamic response of piles and finds that the point impedance and the transfer impedance of the pile top surface are quite different in the higher frequency band. This should be noticed when using the mechanical impedance method to detect the pile quality.