迎水坝面地震动水压力的无奇异边界元分析

英文篇名：The nonsingular BEM for the problem of earthquake-induced hydrodynamic pressure towards the dam
中文刊名：山东理工大学学报(自然科学版)
英文刊名：Journal of Shandong University of Technology(Natural Science Edition)
作者：周继刚 ; 张耀明 ; 高述辕
英文作者：ZHOU Ji-gang 1 ; ZHANG Yao-ming 2 ; GAO Shu-yuan 3(1.School of Traffic and Vehicle Engineering ; Shandong University of Technology ; Zibo 255049 ; China ; 2.Institute of Applied Mathematics ; Shandong University of Technology ; Zibo 255049 ; China ; 3.Shandong Shepherd Automobile Control Technology Co.Ltd ; Zibo 255508 ; China)
中文关键词：动水压力 ; 边界元 ; 间接变量边界积分方程 ; 无奇异间接变量边界积分方程
英文关键词：hydrodynamic pressure ; BEMs ; IBIEs ; nonsingular IBIEs
出版日期：2009-03-15
机构：山东理工大学交通与车辆工程学院;山东理工大学应用数学研究所;山东申普汽车控制技术有限公司;
年：2009
期：02
出版单位：山东理工大学学报(自然科学版)

摘要

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.

引文

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