北京工业大学城市与工程安全减灾教育部重点实验室,北京 100124
赵密(1980— ),男,教授,博士。主要从事重大工程抗震研究。E⁃mail:zhaomi@bjut.edu.cn
收稿:2018-10-22,
修回:2019-01-13,
纸质出版:2021-02-15
移动端阅览
赵密,李旭东,高志懂等.地震作用下土⁃深埋地下结构相互作用的高效时程分析方法[J].防灾减灾工程学报,2021,41(01):39-45.
ZHAO Mi,LI Xudong,GAO Zhidong,et al.Efficient Analysis for Seismic Soil⁃structure Interaction with Deep Burial Depth[J].Journal of Disaster Prevention and Mitigation Engineering,2021,41(01):39-45.
赵密,李旭东,高志懂等.地震作用下土⁃深埋地下结构相互作用的高效时程分析方法[J].防灾减灾工程学报,2021,41(01):39-45. DOI: 10.13409/j.cnki.jdpme.2021.01.005.
ZHAO Mi,LI Xudong,GAO Zhidong,et al.Efficient Analysis for Seismic Soil⁃structure Interaction with Deep Burial Depth[J].Journal of Disaster Prevention and Mitigation Engineering,2021,41(01):39-45. DOI: 10.13409/j.cnki.jdpme.2021.01.005.
基于黏弹性边界和将场地地震反应转化为等效荷载的有限元直接法是目前进行地震作用下土⁃结构相互作用分析的常用时程分析方法之一。当结构埋深较深时,整个土⁃结构系统的有限元模型自由度数目较多,尤其对于三维问题,计算效率低。提出一种高效分析方法,即一维场地反应分析仍然针对整个深厚土层,在后续的土⁃结构相互作用分析中将土⁃结构计算模型的自由表面向下移动、底边界面向上移动到接近结构的位置,通过缩减土⁃结构相互作用模型尺寸来提高计算效率。采用理论分析与数值算例,通过与采用整个深厚土层的传统土⁃结构相互作用分析结果对比,说明提出的高效分析方法能够满足精度要求,并且针对不同结构尺寸、结构埋深和围岩等级给出上、下人工边界位置的建议。
The direct finite element method has been widely used in the soil-structure interaction (SSI) analysis. It is achieved by transforming the site response into the equivalent loading based on the viscous-spring boundary condition. When the structure is deeply buried in the soil, the whole finite element model of the SSI system contains too many degrees of freedom, especially for the three-dimensional problem, so that the computation efficiency is low. In this paper, an efficient analysis scheme is developed. In this new scheme, the one-dimensional site response analysis is still performed for the whole deep soil layer. Subsequently, the artificial bottom and top boundaries of the SSI model are moved up from the bottom of the actual soil layer (bedrock surface) and down from free surface, respectively, to the locations sufficiently near the structure. The theoretical analysis and numerical examples indicate that the proposed efficient analysis scheme satisfies the requirements of precision, even when the location of the artificial boundary is sufficiently near the structure. The boundary location is discussed based on some parametric analyses regarding the structure size, its buried depth and the surrounding rock grade.
廖振鹏 . 工程波动理论导论 [M]. 2版 . 北京 : 科学出版社 , 2002 .
Liao Zh P . Introduction to wave motion theories in engineering [M]. 2nd ed . Beijing : Science Press , 2002 . (in Chinese)
杜修力 . 工程波动理论与方法 [M]. 北京 : 科学出版社 , 2009 .
Du X L . Theories and method of wave motion for engineering [M]. Beijing : Science Press , 2009 . (in Chinese)
Wolf J P , Song C . Some cornerstones of dynamic soil-structure interaction [J]. Engineering Structures , 2002 , 24 ( 1 ): 13 - 28 .
Wolf J P . Soil-structure-interaction analysis in time domain [M]. New Jersey : Prentice Hall , 1988 .
Ghandil M , Behnamfar F . The near-field method for dynamic analysis of structures on soft soils including inelastic soil-structure interaction [J]. Soil Dynamics and Earthquake Engineering , 2015 , 75 : 1 - 17 .
Lysmer J , Wass G . Shear waves in plane infinite structures [J]. Journal of Engineering Mechanics , 1972 , 98 ( 1 ): 85 - 105 .
Wolf J P . The scaled boundary finite element method [M]. New York : John Wiley & Sons Inc , 2003 .
Zhao M , Wu L H , Du X L , et al . Stable high-order absorbing boundary condition based on new continued fraction for scalar wave propagation in unbounded multilayer media [J]. Computer Methods in Applied Mechanics and Engineering , 2018 , 334 : 111 - 137 .
Zhao M , Li H F , Du X L , et al . Time-domain stability of artificial boundary condition coupled with finite element for dynamic and wave problems in unbounded media [J]. International Journal of Computatioanal Methods , 2018 , 15 ( 3 ): 1850099 .
Lysmer J , Kuhlemeyer R L . Finite dynamic model for infinite media [J]. Journal of the Engineering Mechanics Division , 1969 , 95 ( 4 ): 859 - 878 .
Du X L , Zhao M . A local time-domain transmitting boundary for simulating cylindrical elastic wave propagation in infinite media [J]. Soil Dynamics and Earthquake Engineering , 2010 , 30 ( 10 ): 937 - 946 .
杜修力 , 赵密 , 王进廷 . 近场波动模拟的人工应力边界条件 [J]. 力学学报 , 2006 , 38 ( 1 ): 49 - 56 .
Du X L , Zhao M , Wang J T . A stress artificial boundary in for near-field wave problem [J]. Chinese Journal of Theoretical and Applied Mechanics , 2006 , 38 ( 1 ): 49 - 56 . (in Chinese)
刘晶波 , 王振宇 , 杜修力 , 等 . 波动问题中的三维时域粘弹性人工边界 [J]. 工程力学 , 2005 , 22 ( 6 ): 46 - 51 .
Liu J B , Wang Zh Y , Du X L , et al . Three-dimensional visco-elastic artificial boundaries in time domain for wave motion problems [J]. Engineering Mechanics , 2005 , 22 ( 6 ): 46 - 51 . (in Chinese)
刘晶波 , 吕彦东 . 结构-地基动力相互作用问题分析的一种直接方法 [J]. 土木工程学报 , 1998 , 31 ( 3 ): 55 - 64 .
Liu J B , Lyu Y D . A direct method for analysis of dynamic soil-structure interaction [J]. China Civil Engineering Journal , 1998 , 31 ( 3 ): 55 - 64 . (in Chinese)
Zhao M , Gao Z D , Wang L T , et al . Obliquely incident earthquake input for soil-structure interaction in layered half space [J]. Earthquakes and Structures , 2017 , 13 ( 6 ): 573 - 588 .
0
浏览量
0
下载量
4
CSCD
关联资源
相关文章
相关作者
相关机构
苏公网安备32010202012147号
