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本文首次给出了匀质各向同性弹性半空间表面在竖向及水平谐和集中力作用下的位移精确解,它适用于任何介质泊松比值。利用此精确解及圆心位移影响函数法分析了地面波动衰减的某些问题。此法可用来分析近场地面位移。对Barkan的远场判别式的合理性进行了讨论。分析表明,对理想弹性半空间来说,增大扰频会减小地面波动衰减率。波动相速度的计算表明,近场相速度一般均小于瑞利波波速。
In this paper, for the first time, the exact displacement solution of the surface of a homogeneous isotropic elastic half-space under vertical and horizontal harmonic forces is given. It is suitable for any medium Poisson’s ratio. Using this exact solution and the influence function of the center displacement, some problems of ground wave attenuation are analyzed. This method can be used to analyze near-field ground displacements. The rationality of Barkan’s far-field discriminant was discussed. The analysis shows that for an ideal elastic half space, increasing the scrambling will reduce the ground fluctuation attenuation rate. The calculation of the fluctuating phase velocity shows that the near-field phase velocity is generally less than the Rayleigh wave velocity.