将完全液化土体考虑成流体,研究了已液化土体中桩的水平振动问题。用流体运动方程模拟完全液化土体,用Biot动力固结模型模拟未液化饱和土层,用分离变量法求解流体振动方程,结合桩水平振动方程和桩–液化土耦合条件得到液化土–桩水平振动解,考虑液化土体和饱和土体的连续条件、桩身位移和内力连续条件以及桩底部嵌固条件,采用矩阵传递法得到液化土–饱和土分层条件下桩顶阻抗的表达式。将解退化为水中悬臂梁振动问题,与已有解进行对比,验证了本文解的正确性。进行参数分析,表明液化层厚度和流体密度对桩顶阻抗影响较大。
By considering the completely liquefied soil as fluid,the horizontal vibration of piles in liquefied soil is studied.The liquefied soil is simulated as fluid,and the saturated soil is simulated by using the model of Biot’s dynamic consolidation.The equation of fluid motion is solved by use of the method of separation of variables.The horizontal dynamic characteristics are obtained considering the continuity conditions between the liquefied soil layer and the saturated soil layer and the vibration equation of piles.The impedance function of the saturated soil-liquefied soil-pile interaction system is obtained with the assumption of perfect contact between piles and soil by means of the matrix transfer method.It is shown that the solution is in good agreement with that of the cantilever cylinder in water.A parametric study is conducted on the main features of pile-soil interaction.As a result,there are some effects of the thickness of liquefied soil layer and the density of fluid on the impedance of piles.