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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。
The fully liquefied soil is considered as a fluid, and the horizontal vibration of the pile in liquefied soil is studied. The liquefied soil is simulated by the equations of fluid motion, the liquefied soil is simulated by the Biot dynamic consolidation model, and the fluid vibration equation is solved by the method of discrete variables. The horizontal vibration equation and the coupling condition of pile-liquefied soil are used to obtain the liquefied soil-pile level Considering the continuous conditions of liquefiable soil and saturated soil, the displacement and internal force of piles and the embedded conditions at the bottom of piles, matrix impedance method is used to obtain the expression of impedance at the top of the pile when the liquefied soil-saturated soil is stratified. Decompose the solution to the cantilever vibration problems in water, compared with the existing solutions, verify the correctness of the solution. The parameter analysis shows that the thickness of liquefaction layer and fluid density have a great influence on the top impedance of pile.