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根据Biot波动理论,研究了条形均布荷载作用下非均匀饱和土地基的动力响应问题。利用Fourier积分变换,通过Helmholtz矢量分解原理,建立了饱和土层在动荷载作用下的回传射线矩阵法计算列式,考虑饱和土的物理力学性质沿深度方向按幂函数连续变化,采用数值Fourier逆变换获得了饱和土地基的位移、应力和孔隙压力等物理量的数值解。分析讨论了材料非均匀性对饱和土介质动力特性的影响。结果表明,非均匀饱和土的动力行为与均匀饱和土有着明显的不同,当土体的非均匀程度越高,条形荷载中点下流体压力和应力幅值越大,而位移、流体压力以及应力等物理量在水平方向的振动频率均随着土体非均匀变化程度的增强而增大。
According to the Biot wave theory, the dynamic response of a non-uniform saturated soil foundation under a strip-shaped uniform load is studied. Using Fourier integral transform and Helmholtz vector decomposition principle, the matrix of backscatter of saturated soil under dynamic load is established. Considering that the physical and mechanical properties of saturated soil change continuously along the power direction by the power function, Inverse transformation obtains the numerical solution of physical quantities such as displacement, stress and pore pressure of saturated soil foundation. The influence of material heterogeneity on the dynamic properties of saturated soil is analyzed and discussed. The results show that the dynamic behavior of heterogeneous saturated soils is obviously different from that of homogeneous saturated soils. When the degree of inhomogeneity of soil is higher, the pressure and stress amplitude of fluid under the midpoint of strip-shaped loads are larger, and the displacement, fluid pressure and The vibration frequencies of the physical quantities such as stress in the horizontal direction all increase with the increase of non-uniform degree of soil.