矩形移动荷载作用下饱和-非饱和土双层地基的动力响应分析1)
DYNAMIC RESPONSE ANALYSIS OF SATURATED-UNSATURATED DOUBLE-LAYERED SOIL UNDER RECTANGULAR MOVING LOAD1)
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摘要: 考虑地基为饱和-非饱和土双层半空间,利用连续介质力学和多相孔隙介质理论,构建双层地基的统一动力控制方程并进行耦合求解。利用Dirac-delta函数和Heaviside阶跃函数将矩形移动荷载作用描述为时间和空间坐标的解析函数,将荷载函数代入地基动力控制方程,采用三重Fourier变换以及降阶法进行求解,并对推导结果进行退化验证及对饱和-非饱和土双层地基的动力响应进行分析。研究表明,当荷载移动速度小于瑞利波速时,竖向振动峰值很小,振幅随速度的增大发生小幅增涨,但当荷载速度达到瑞利波速时,竖向振动发生激增;随着速度进一步增大,竖向位移多次出现峰点。非饱和土的饱和度及土层厚度也对地基振幅存在显著影响。Abstract: Under the assumption that the foundation is a double-layered half-space of saturated-unsaturated soil, the unified dynamic governing equations of the double-layered foundation are constructed and solved by using the theory of continuum mechanics and multiphase porous media. By using Dirac-delta function and Heaviside step function, the action of rectangular moving load is described as an analytic function of temporal and spatial coordinates. Then the load function is substituted into the ground dynamic governing equation, and the equation is solved with Fourier transform. The results are verified by degradation. The dynamic response of saturated-unsaturated soil double-layer foundation is also analyzed. The results show that when the load moving velocity is smaller than the Rayleigh wave velocity, the peak value of the vertical vibration is very small, and the amplitude increases slightly with the increase of the velocity. However, when the load velocity reaches the Rayleigh wave velocity, the vertical vibration increases sharply, and the vertical displacement exhibits peak value many times. The saturation of unsaturated soil and the thickness of soil layer also affect the amplitude of foundation significantly.