双向非均质土中基于连续介质模型的桩动力响应特性分析
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摘要
在三维轴对称条件下,基于连续介质模型进行纵、径双向非均质土中桩的纵向动力特性研究。首先,根据桩周土体的纵向成层性和桩身截面性质,沿纵向划分多层,再对纵向每一层沿径向划分足够多圈层,每圈层视为均质土。然后建立每圈层土体的三维波动方程和每段桩身动力平衡方程,结合边界条件以及连续接触条件,从径向最外侧到最内侧、纵向最底层到最顶层依次进行桩-土耦合动力方程求解。最终利用阻抗递推法得到纵径双向非均质土中桩顶频域响应解析解和时域响应半解析解。通过所得解进一步研究各种纵径向非均质工况,得到相应的桩-土耦合振动特性。
Under three-dimensional axisymmetric condition,based on continuum medium model,the vertical dynamic response of pile embedded in vertically and radially inhomogeneous soil layers was investigated.Firstly,according to stratification of soil and section of pile,the soil was subdivided into multiple layers in vertical direction,and each layer was subdivided numerous zones according to radial inhomogeneity.Then three-dimensional dynamic equilibrium equation of each soil zone which was considered homogeneously and the dynamic equilibrium equation of every pile segment were constructed.By both the boundary condition and continuum condition,with the sequence of outer soil zone to inner soil zone and bottom to top,the dynamic interaction equations of soil-pile were solved.Finally,the analytical solution in frequency domain and semi-solution in time domain were obtained by impedance recursive method.From the further studies of different engineering conditions,the vertical dynamic characteristics were obtained.
引文
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