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该文研究了空间轴对称桩基-流体饱和土体耦合系统的动态响应。首先,基于弹性力学和多孔介质理论给出了耦合系统的控制微分方程、边界条件和桩-土之间界面上的连接条件;其次,发展了微分求积单元法;在此基础上采用所发展的方法和2阶向后差分格式在空间和时间域内离散了控制微分方程;最后,利用Newton-Raphson迭代方法在初始条件下求得了系统的数值解,分析了耦合系统的动态响应,考察了参数的影响,也验证了数值方法的有效性。
In this paper, the dynamic response of space axisymmetric pile-fluid saturated soil coupling system is studied. Firstly, the governing differential equations of the coupled system, the boundary conditions and the connection conditions of the pile-soil interface are given based on the theory of elasticity and porous media. Secondly, the differential quadrature element method is developed. Based on this, Method and the second-order backward difference scheme are used to discretize the control differential equations in the space and time domain. Finally, the numerical solution of the system is obtained by the Newton-Raphson iterative method under initial conditions. The dynamic response of the coupled system is analyzed. The parameters Also validates the validity of the numerical method.