Biot动力固结方程简化模型在桩水平动力响应中适用性研究

分析不同Biot动力固结方程简化模型在桩水平振动中的适用性。引入势函数进行解耦,推导了忽略土体及水体竖向连续的土层水平振动响应解析解,结合以前研究,讨论了单相土模型、等效单相土模型与不同渗透系数条件下忽略流体惯性项忽略竖向连续模型、考虑流体惯性项忽略竖向连续模型以及考虑流体惯性项考虑竖向连续模型的桩头阻抗频响规律,指出Biot动力固结方程可进行简化的条件。

Applicability of simplified model of Biot's dynamic consolidation equation to response of horizontal vibration of piles

The applicability of simplified model of Biot's dynamic consolidation equation to response of horizontal vibration of piles is analysed. The potential functions are introduced to decouple the governing differential equations, and then the analytical solution neglecting the vertical continuity of soil and water is derived. Based on the previous researches, the impedance functions of the head of piles are discussed using the single-phase soil model, the equivalent single-phase soil model and the model neglecting fluid inertia term and vertical continuity of soil and water, the model considering fluid inertia term and neglecting vertical continuity of soil and water, and the model considering fluid inertia term and vertical continuity of soil and water. It is concluded that the conditions of Biot’s dynamic consolidation equation can be simplified.