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成层地基在轴对称荷载下的稳态振动分析
引用本文:蔡袁强,孟楷,徐长节.成层地基在轴对称荷载下的稳态振动分析[J].岩土力学,2004,25(12):1994-1998.
作者姓名:蔡袁强  孟楷  徐长节
作者单位:1.浙江大学 岩土工程研究所,浙江 杭州 310027;2.杭州市建筑设计研究院,浙江 杭州 310001
摘    要:基于Biot动力固结方程,考虑了土体和水体的惯性力以及水-土耦合作用的影响,采用Hankel积分变换求解耦联合方程组,得到动荷载下饱和土Lamb问题的解答。根据下边界为不透水基岩的边界条件,获得了地基表面作用圆形轴对称周期荷载时土层应力、位移等的一般积分形式解,并利用矩阵传递法完成了对多层地基和Gibson地基的计算。通过算例研究了层厚和激振频率等对竖向位移的影响。

关 键 词:动力Biot固结  Lamb问题  饱和地基
文章编号:1000-7598-(2004)12-1994-05
收稿时间:2003-08-18
修稿时间:2003年8月18日

Steady-state vibration analysis of layered saturated soils under axisymmetric cyclic loading
CAI Yuan-qiang,MENG Kai,XU Chang-jie.Steady-state vibration analysis of layered saturated soils under axisymmetric cyclic loading[J].Rock and Soil Mechanics,2004,25(12):1994-1998.
Authors:CAI Yuan-qiang  MENG Kai  XU Chang-jie
Institution:1. Department of Civil Engineering, Zhejiang University, Hangzhou 310027,China; 2. Hangzhou Institute of Architectural Design and Research, Hangzhou 310001, China
Abstract:Based on the Biot’s dynamic consolidation equations, by means of Hankel transform and transfer matrix method, the integral solutions of stress and displacement for axisymmetric harmonic excitations were derived. In the study of layered soil with subjacent rock-stratum, influence of the echoes generated by the boundary and interfaces of the soils was revealed and analyzed.Finally, the effects of the depth of the soil and the loading frequency on the results were also studied.
Keywords:Biot’s consolidation theory  dynamic response  saturated subsoil
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