摘要
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。
The dynamic response of a space-axisymmetrical pile-fluid-saturated soil coupled system is studied. Firstly, based on the theory of elasticity and the Porous Media theory, the governing differential equations for the coupled system are presented. Then, the differential quadrature element method is developed. After that, the developed differential quadrature element method and the second-order backward difference scheme are applied to discretize the governing differential equations of the coupled system on spatial and temporal domains, respectively. Finally, the Newton- Raphson iteration method is used to derive the numerical solutions of the system with initial conditions, the dynamic response of the system and the effect of parameters are studied, and the validity of the analysis method is verified.
出处
《工程力学》
EI
CSCD
北大核心
2016年第3期169-178,共10页
Engineering Mechanics
基金
国家自然科学基金重点项目(11232009)
上海市自然科学基金项目(15ZR1431600)
