地面波动分析若干问题

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。

Some Problems in the Ground Vibration Analysis

In this paper are given the exact solutions of displacement of a homogeneous, isotropic, elastic half-space surface of arbitrary Poisson's ratio under a vertical and a horizontal harmonic point load. Some problems of attenuation of the ground vibration are analysed by means of the exact solution and the method of influence function of circle center displacement. The method is applicable for analysing the ground displacement of near-field. The rationality of Barkan's discriminant for the far-field is discussed. The analysis shows that increasing the excitation frequency of the source reduces the decay rate of the ground vibration.The calculation of the phase velocity of vibration indicates that the phase velocity of near-field is less than Rayleigh wave velocity in general.