基于TRM法的移动荷载作用下层状非饱和土地基动力响应研究

DYNAMIC RESPONSE STUDY OF LAYERED UNSATURATED FOUNDATION UNDER MOVING LOAD BASED ON TRM METHOD

  • 摘要: 根据非饱和多孔介质理论,建立了二维层状非饱和土地基的计算模型,研究了移动荷载作用下层状非饱和土体的动力响应问题。通过Fourier变换和Helmholtz矢量分解原理,采用传递、反射矩阵(TRM)法,结合边界及层间连续条件推导获得了二维层状非饱和土地基在频域中的动力响应解答,并利用Fourier逆变换得到了层状非饱和土体中位移、应力和孔隙压力的数值解。通过数值算例分析讨论了均质土、软夹层和硬夹层三种层状地基中荷载移动速度、土层剪切模量、饱和度和荷载频率对其动力响应的影响规律。研究结果表明:层状非饱和土地基中当荷载移动速度接近非饱和土地基中Rayleigh波速时会引起土体产生共振,地表竖向位移迅速增大到峰值;层状非饱和土地基中土层的排列次序对地表位移影响显著,与均质土地基相比,硬夹层地基的地表竖向位移大,而软夹层地基的地表竖向位移小;饱和度对层状非饱和土地基动力响应影响显著;随着荷载频率的增大,三种层状地基的位移沿水平距离方向呈现出明显波动性。

     

    Abstract: Based on the theory of unsaturated porous media, a computational model of two-dimensional layered unsaturated soil foundation is established and the dynamic response of the layered unsaturated soil under moving load is studied. The dynamic response solutions of two-dimensional layered unsaturated soil foundation in frequency domain are obtained by Fourier transform and Helmholtz vector decomposition principle using the transmission-reflection matrix (TRM) method. Combined with boundary and interlayer continuity conditions derived, the numerical solutions of displacement, stress and pore pressure in layered unsaturated soil are obtained by using Fourier inverse transform. The effects of load movement velocity, soil shear modulus, saturation and load frequency on the dynamic response of three types of layered foundations, namely, homogeneous soil, soft interlayer and hard interlayer foundation, are discussed through numerical calculations. The results of this study show that when the load movement velocity is close to the Rayleigh wave velocity in the unsaturated ground foundation, the soil resonates and the vertical displacement of the surface increases rapidly to the peak. The order of soil layers in the layered unsaturated foundation has a significant influence on surface displacement. Compared with the homogeneous foundation, the vertical displacement of the surface of the hard interlayer foundation is large, while the vertical displacement of the surface of the soft interlayer foundation is small. The saturation has a significant influence on the dynamic response of the layered unsaturated foundation. With the increase of load frequency, the displacements of three types of layered foundations demonstrate obvious fluctuation along the horizontal distance direction.

     

/

返回文章
返回