迎水坝面地震动水压力的无奇异边界元分析

The nonsingular BEM for the problem of earthquake-induced hydrodynamic pressure towards the dam

归化出迎水坝面地震动水压力的等价的间接变量无奇异边界积分方程,有效避免了奇异边界积分的计算.数值实施时,离散化的边界几何段采用线性几何单元描述,其上的边界量采用二次不连续插值函数逼近.分析了动水压力随坝体变形的变化,所得数值结果与韦氏解答相当吻合,而且计算效率比传统直接边界元法高.

The equivalent non-singular boundary integral equations with indirect variable for hydrodynamic pressure problem are presented in this paper, which efficiently avoid the calculations of singular boundary integrals. The geometric boundary is depicted by adopting the linear elements, while the corresponding unknown boundary quantities are approximated by quadratic discontinuous interpolation functions. The changes of the hydrodynamic pressure of the dam with various deformations were analyzed. The numerical results show that the method given in the paper is more effective than the traditional DBIES, which is quite coincident with the Westergard＇s.