下卧基岩饱和地基在移动荷载作用下的动力响应

基于Biot多孔弹性介质波动理论，在平面应变条件下研究了下卧基岩饱和地基在移动线荷载作用下的动力响应。通过引入势函数并利用Helmholtz原理，再经过Fourier变换和逆变换，获得了移动线荷载作用下饱和地基的位移、应力、孔隙水压力解答。最后通过快速逆傅里叶变化（IFFT）得到数值计算结果，详细分析了土颗粒的压缩性、孔隙水的压缩性、饱和土的剪切模量、孔隙率、渗透性、移动荷载速度和饱和土层厚度等参数对动力响应的影响

Dynamic response of saturated subgrade with rock substratum subjected to moving loads

Based on Biot’s wave equation,the dynamic response of a saturated subgrade with rock substratum subjected to moving line loads,was investigated theoretically under the condition of plane strain.By introducing potential functions and applying Helmholtz decomposition theorem,the analytical solutions for stress,displacement and pore pressure were derived by means of Fourier transform and inverse Fourier transform.Numerical results obtained by using inverse fast Fourier transform(IFFT) were used to analyze the influences of parameters of the saturated soil such as porosity,permeability,shear modulus,compressibility of fluid,compressibility of soil particles,velocity of moving load and saturated porous layer thickness on the dynamic response.