基于比例边界有限元方法的拱坝子结构分区形式研究  

Study of sub-structure division of arch dam based on scaled boundary finite element method

作　　者：薛冰寒 方宏远[1,2,3] 王复明 胡志强[4] 陈建国 XUE Binghan;FANG Hongyuan;WANG Fuming;HU Zhiqiang;CHEN Jianguo(College of Water Conservancy and Environmental Engineering,Zhengzhou University,Zhengzhou 450010,China;National Local Joint Engineering Laboratory of Major Infrastructure Testing and Rehabilitation Technology,Zhengzhou 450001,China;Collaborative Innovation Center of Water Conservancy and Transportation Infrastructure Safety,Zhengzhou 450001,China;Institute of Earthquake Engineering,Faculty of Infrastructure Engineering,Dalian University of Technology,Dalian 116024,China;Guangxi Key Laboratory of Water Engineering Materials and Structures,Guangxi institute of Water Resources Research,Nanning 530023,China)

机构地区：[1]郑州大学水利与环境学院,郑州450001 [2]重大基础设施检测修复技术国家地方联合工程实验室,河南郑州450001 [3]水利与交通基础设施安全防护河南省协同创新中心,河南郑州450001 [4]大连理工大学建设工程学部水利工程学院工程抗震研究所,辽宁大连116024 [5]广西水利科学研究院水工程材料与结构重点实验室,广西南宁530023

出　　处：《世界地震工程》2019年第4期11-17,共7页World Earthquake Engineering

基　　金：国家重点研发计划资助项目(2017YFC1501200);国家自然科学基金项目(51678536);河南省重大科技专项(No.171100310100);郑州大学优秀青年教师发展基金项目(1621323001);广西水工程材料与结构重点实验室资助课题(GXHRI-WEMS-2018-1)

摘　　要：比例边界有限元方法是一种半解析的数值计算方法,具有降维、网格灵活、严格模拟无限域和无需基本解等特点。比例边界有限元方法的基本理论是在整体坐标与局部坐标的比例边界转换基础之上建立的,相似中心的选取是否合理对分析计算具有重要的影响,导致在模拟拱坝这种不规则的空间壳体结构时,具有一定的局限性。采用子结构方法,将坝体分为若干满足相似性要求的区域可解决上述问题,以某拱坝为例给出了合理的坝体子结构分区形式,验证了子结构方法的精确性,为建立基于比例边界有限元方法的坝体-库水-地基系统的计算模型奠定了基础。The scaled boundary finite element method(SBFEM)as a semi-analytical numerical method has been used in many fields.SBFEM has the following advantages:reducing the spatial dimensions by one,rigorously modelling the unbounded domain and involving no fundamental solution.However,owing to the requirement of scaling inherently,the SBFEM cannot be directly applied to the analysis of arch dams which belong to irregular shell structure.This limitation can be overcome by employing the sub-structure method to subdivide the arch dam into several sub-structures which satisfy the scaling requirement.An example of the dynamic analysis of an arch dam is presented to verify the effectiveness of the SBFEM sub-structure method.The proposed sub-structure division method is helpful to establish the calculating model of the dam body-reservoir-foundation system based on the scaled boundary finite element method.

关 键 词：比例边界有限元 子结构法 拱坝 相似中心 

分 类 号：TV312[水利工程—水工结构工程]