基于ABAQUS的动水压力波双渐近透射边界单元及应用

高阶双渐近透射边界能够在全频范围内迅速逼近准确解,具有很高的计算精度和计算效率。基于大型通用有限元软件ABAQUS提供的用户子程序接口UEL开发了动水压力波双渐近透射边界单元,实现了有限元-双渐近透射边界时域耦合分析模型。双渐近透射边界单元的刚度矩阵和阻尼矩阵均为常矩阵,在分析计算中仅需计算一次,因此可以预先求解再读入ABAQUS以提高计算效率。通过数值算例验证了双渐近透射边界单元程序的正确性,并将其应用到大坝-库水动力相互作用分析。算例分析结果表明,双渐近透射边界单元具有良好的稳定性和计算精度,适用于实际大坝的地震响应分析。

A doubly asymptotic open boundary element for hydrodynamic pressurewave analysis based on the ABAQUS and its application

The high order doubly asymptotic open boundary can converge to the exact solution over the whole frequency range.It has high computational accuracy and efficiency.Based on the user element subroutine interface UEL offered by the ABAQUS,a doubly asymptotic open boundary element for hydrodynamic pressure wave analysis was developed and the time-domain coupled analysis model by combining the finite element method and doubly asymptotic open boundary was realized.The stiffness matrix and damping matrix of the doubly asymptotic open boundary element are both constant matrices,which need to be solved only once during the analysis procedure.To increase the computational efficiency,they can be solved in advance and read into the ABAQUS during the analysis.The proposed element was verified by numerical examples and applied to the dynamic dam-reservoir interaction analysis.The numerical results demonstrate that the proposed user element is of good numerical stability and high computational accuracy.It is applicable to the seismic response analysis of realistic dams.