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基于Biot动力固结方程,研究了端承桩在饱和土中水平振动问题。引入势函数对方程解耦,采用算子分解及分离变量法结合桩土耦合条件得到简谐稳态水平振动下桩土动力响应的解析解。将本文解与等效单相解进行了对比,并阐明两解之间的关系。通过参数分析,表明渗透系数对桩土水平动力阻抗有一定影响,指出可等效成等效单相解的条件。
Based on the Biot dynamic consolidation equation, the horizontal vibration of end bearing pile in saturated soil is studied. The potential function is introduced to decouple the equations. The analytic solution of the pile-soil dynamic response under the simple harmonic steady-state horizontal vibration is obtained by using the operator decomposition and the separation-variable method combined with the pile-soil coupling conditions. The solution of this paper is compared with the equivalent single-phase solution, and the relationship between the two solutions is clarified. Through parameter analysis, it is shown that the permeability coefficient has some influence on the horizontal dynamic impedance of pile-soil, and the conditions that can be equivalent to the equivalent single-phase solution are pointed out.