[1]薛冰寒,方宏远,王复明,等.基于比例边界有限元方法的拱坝子结构分区形式研究[J].世界地震工程,2019,35(04):011-17.
 XUE Binghan,FANG Hongyuan,WANG Fuming,et al.Study of sub-structure division of arch dam based on scaled boundary finite element method[J].,2019,35(04):011-17.
点击复制

基于比例边界有限元方法的拱坝子结构分区形式研究
分享到:

《世界地震工程》[ISSN:/CN:]

卷:
35
期数:
2019年04期
页码:
011-17
栏目:
出版日期:
2019-12-10

文章信息/Info

Title:
Study of sub-structure division of arch dam based on scaled boundary finite element method
作者:
薛冰寒123 方宏远123 王复明123 胡志强4 陈建国5
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
Author(s):
XUE Binghan123 FANG Hongyuan123 WANG Fuming123 HU Zhiqiang4 CHEN Jianguo5
1. College of Water Conservancy and Environmental Engineering, Zhengzhou University, Zhengzhou 450010, China;
2. National Local Joint Engineering Laboratory of Major Infrastructure Testing and Rehabilitation Technology, Zhengzhou 450001, China;
3. Collaborative Innovation Center of Water Conservancy and Transportation Infrastructure Safety, Zhengzhou 450001, China;
4. Institute of Earthquake Engineering, Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, China;
5. Guangxi Key Laboratory of Water Engineering Materials and Structures, Guangxi institute of Water Resources Research, Nanning 530023, China
关键词:
比例边界有限元子结构法拱坝相似中心
Keywords:
scaled boundary finite element methodsub-structure methodarch damscaling center
分类号:
TV312
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。
Abstract:
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.

参考文献/References:

[1] WOLF J P, SONG C. The scaled boundary finite-element method-a primer:derivations[J]. Computers and Structures, 2000, 78(1):191-210.
[2] SONG C, WOLF J P. The scaled boundary finite-element method-a primer:solution procedures[J]. Computers and Structures, 2000, 78(1):211-225.
[3] 杜建国, 林皋. 地基刚度和不均匀性对混凝土大坝地震响应的影响[J]. 岩土工程学报, 2005,27(7):819-823. DU Jianguo, LIN Gao. Effect of foundation stiffness and anisotropy on the seismic response of concrete dams[J]. Chinese Journal of Geotechnical Engineering, 2005, 27(7):819-823.(in Chinese)
[4] 陈灯红, 杜成斌. 结构-地基动力相互作用的时域模型[J]. 岩土力学, 2014,35(4):1164-1172. CHEN Denghong, DU Chengbin. A computational model for structure-foundation dynamic interaction in time domain[J]. Rock and Soil Mechanics, 2014,35(4):1164-1172. (in Chinese)
[5] 宁宝宽,张思淼,刘钧玉,等.求解结构-无限地基动力相互作用的高阶透射边界频域方法[J].世界地震工程,2016,32(4):56-62. NING Baokuan, ZHANG Simiao, LIU Junyu, et al. High-order transmitting boundary frequency domain method for solving dynamic structure-unbounded foundation interaction[J]. World Earthquake Engineering, 2016,32(4):56-62. (in Chinese)
[6] 邹德高, 刘锁, 陈楷, 等. 基于四叉树网格和多边形比例边界有限元方法的岩土工程非线性静动力分析[J]. 岩土力学, 2017(S2):33-40. ZOU Degao, LIU Suo, CHEN Kai, et al. Nonlinear static and dynamic analysis for geotechnical engineering based on quadtree mesh and polygon scaled boundary finite element method[J]. Rock and Soil Mechanics, 2017(S2):33-40. (in Chinese)
[7] 陈莘莘, 王娟. 反平面断裂问题的无单元伽辽金比例边界法[J]. 计算力学学报, 2017,34(1):57-61. CHEN Shenshen, WANG Juan. An element-free galerkin scaled boundary method for anti-plane crack problem[J]. Chinese Journal of Computational Mechanics,2017, 34(1):57-61. (in Chinese)
[8] SONG C. A super-element for crack analysis in the time domain[J]. International Journal for Numerical Methods in Engineering, 2004,61(8):1332-1357.
[9] 杜建国, 林皋. 比例边界有限元子结构法研究[J]. 世界地震工程, 2007,23(1):67-72. DU Jianguo, LIN Gao. Study of sub-structure method with the scaled boundary finite element method[J]. World Earthquake Engineering, 2007,23(1):67-72. (in Chinese)
[10] DEEKS A J, WOLF J P. A virtual work derivation of the scaled boundary finite-element method for elastostatics[J]. Computational Mechanics, 2002, 28(6):489-504.
[11] SONG C. A matrix function solution for the scaled boundary finite-element equation in statics[J]. Computer Methods in Applied Mechanics and Engineering, 2004, 193(23):2325-2356.
[12] SONG C. The scaled boundary finite element method in structural dynamics[J]. International Journal for Numerical Methods in Engineering, 2009, 77(8):1139-1171.
[13] DEEKS A J, Wolf J P. Stress recovery and error estimation for the scaled boundary finite-element method[J]. International Journal for Numerical Methods in Engineering, 2002, 54(4):557-583.

相似文献/References:

[1]王珏,周叮.基于子结构方法的土-结构动力相互作用半解析方法研究现状综述[J].世界地震工程,2019,35(02):096.
 WANG Jue,ZHOU Ding.A systematic review of semi-analytical substructure method applied in soil-structure dynamic interaction[J].,2019,35(04):096.
[2]杜建国,林皋.比例边界有限元子结构法研究[J].世界地震工程,2007,(01):067.
 DU Jian-guo,LIN Gao.Study of sub-structure method with the scaled boundary finite element method[J].,2007,(04):067.

备注/Memo

备注/Memo:
收稿日期:2019-03-15;改回日期:2019-07-10。
基金项目: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)
作者简介:薛冰寒(1991-),男,博士,主要从事高拱坝的抗震安全评价.E-mail:xuebinghan@zzu.edu.cn
通讯作者:方宏远(1982-),男,教授,博士,主要从事工程结构抗震分析与除险加固.E-mail:18337192244@163.com
更新日期/Last Update: 1900-01-01