一种三维饱和土-基础-结构动力相互作用分析方法

陈少林; 赵宇昕

doi:10.6052/0459-1879-16-188

一种三维饱和土-基础-结构动力相互作用分析方法

doi: 10.6052/0459-1879-16-188

陈少林^,,
赵宇昕

南京航空航天大学土木工程系, 南京 210016

基金项目: 国家自然科学基金资助项目（51178222，51378260）.

详细信息

通讯作者:
陈少林,教授,主要研究方向:地震工程.E-mail:iemcsl@nuaa.edu.cn

赵宇昕,硕士,主要研究方向:工程结构安全性与耐久性.

中图分类号: TU435
计量
- 文章访问数: 963
- HTML全文浏览量: 126
- PDF下载量: 1025
- 被引次数: 0
出版历程
- 收稿日期: 2016-07-06
- 修回日期: 2016-08-16
- 刊出日期: 2016-11-18

A METHOD FOR THREE-DIMENSIONAL SATUTARTED SOIL-FOUNDATION-STRUCTURE DYNAMIC INTERACTION ANALYSIS

Chen Shaolin^,,
Zhao Yuxin

Department of Civil Engineerng, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

摘要

摘要: 地震波入射时土与结构动力相互作用分析是地震工程领域的重要问题.由于问题的复杂性，以往的研究大多考虑地基土为干土情形.而实际工程中，土体中经常充满孔隙水，土层往往是含水层或部分含水层.孔隙水对土层的地震反应影响较大，进而影响支撑于其上的基础和上部结构的响应.因此，有必要考虑饱和土-基础-结构动力相互作用问题.基于此，土体采用Biot模型，利用集中质量显式有限元方法并结合多次透射人工边界进行模拟；结构经有限元离散后，采用Newmark隐式时步积分方法进行分析，可通过ANSYS等有限元软件实现；基础假定为刚性，采用显式时步积分进行求解；土体和结构（及基础）可分别采用不同的时间步距；通过FORTRAN程序实现了三维饱和土-基础-结构系统在地震作用下的整体分析.从饱和多孔介质动力微分方程出发可知，干土是饱和土的特殊情形，通过将流体体积模量及孔隙率置为零，可将饱和土退化到干土，从而将干土统一到饱和土的计算框架中，通过土-结构相互作用算例对此进行了验证，进一步实现了干土与饱和土混合情形时的土-结构动力相互作用分析，使得问题的模拟更贴近实际工程（如考虑地下水位情形）.通过算例对比了饱和土地基、干土地基、干土覆盖饱和土地基（考虑地下水位）情形时，土-结构相互作用对基础和结构响应的影响，结果表明地下水位对基础和结构响应的影响较大.
- 土-结构动力相互作用 /
- 饱和多孔介质 /
- 显-隐式积分方法 /
- 人工边界条件 /
- 地震响应分析
Abstract: Analysis of soil-structure dynamic interaction subjected to seismic wave is a key problem in earthquake engineering. In general, the soil stratum consists of two-phase saturated porous zones and single-phase viscoelastic zones due to ground water. In most cases of soil-structure dynamic interaction analysis, the soil has been assumed to be a singlephase viscoelastic medium for simplicity and little attention has been paid to the saturated porous soil case, even less to case of the viscoelastic soil layered on saturated soil. In this study, an effcient method for three-dimensional saturated soil-foundation-structure dynamic interaction analysis is proposed. The unbounded saturated soil is modelled by lumpedmass explicit finite element method and transmitting boundary condition the structure is analysed through implicit finite element method, and response of the rigid foundation is calculated through explicit time integration scheme. The different time steps can be chosen for the explicit and implicit integration scheme, which can greatly improve the effciency. In addition, based on the fact that single-phase soil is a special case of two-phase saturated soil, the dynamic analysis of single-phase soil can be unified into the analysis of saturated soil by setting the bulk modulus of pore fluid and porosity to be zero. Thus, the soil-structure interaction analysis for the viscoelastic soil layered on saturated soil case is realized, which can approximate the ground water table in practice. The effects of ground water on the response of foundation and structure are examined through numerical examples of soil-structure interaction analysis for saturated soil, single-phase viscoelastic soil and the viscoelastic soil layered on saturated soil, and the results show that the ground water influences the structure and foundation responses greatly.
- soil-structure dynamic interaction /
- saturated porous media /
- explicit-implicit integration scheme /
- artificial boundary condition /
- seismic response analysis

HTML全文

参考文献(36)

1 Luco JE. Dynamic interaction of a shear wall with the soil. J Eng Mech Div ASCE, 1969, 95:333-346

2 Kobori T, Minai R, Shinozaki Y. Vibration of a rigid circular disc on an elastic half-space subjected to plane waves. Theoretical and Applied Mechanics, 1973, (21):108-119

3 Guin J, Banerjee P K. Coupled soil-pile-structure interaction analysis under seismic excitation. J Struct Eng Div ASCE, 1998, 124(4):434-444

4 宋亚新, 蒋通, 楼梦麟. 桩基-非线性框剪结构相互作用体系(下)-相互作用对结构地震反应的影响. 地震工程与工程振动, 2000, 20(1):48-55(Song Yaxin, Jiang Tong, Lou Menglin. Pilenonlinear frame-wall interaction systems. Part Ⅱ:effects of interaction on seismic responses of structures. Journal of Earthquake Engineering and Engineering Vibration, 2000, 20(1):48-55(in Chinese))

5 Wolf JP. Soil-structure interaction analysis in time domain. NJ:Prentice Hall, Englewood Cliffs, 1988:11-35

6 Jean WY, Lin TW, Penzien J. System parameters of soil foundations for time domain dynamic analysis. Earthq. Earthquake Engineering and Structural Dynamics, 1990,19(4):541-553

7 王有为, 王开顺. 建筑物-桩-土相互作用地震反应分析的研究. 建筑结构学报, 1985, 6(5):64-73(Wang Youwei, Wang Kaishun. Research on earthquake response analysis of building structure-pilesoil interaction. Journal of Building Structures, 1985, 6(5):64-73(in Chinese))

8 李永梅, 孙国富, 王松涛等. 桩-土-杆系结构动力相互作用. 建筑结构学报, 2002, 23(1):75-81(Li Yongmei, Sun Guofu, Wang Songtao, et al. Dynamic interaction of pile-soil-frame structure. Journal of Building Structures, 2002, 23(1):75-81(in Chinese))

9 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. 土木工程学报, 1998, 31(3):55-64(Liu Jingbo, Lu Yandong. A direct method for analysis of dynamic soil-structure interaction. China Civil Engineering Journal, 1998, 31(3):55-64(in Chinese))

10 陈少林, 唐敢, 刘启方等. 三维土-结构动力相互作用的一种时域直接分析方法. 地震工程与工程振动, 2010, 30(2):24-31(Chen Shaolin, Tang Gan, Liu Qifang, et al. A direct time-domain method for analysis of three-dimensional soil-structure dynamic interaction. Jounal of Earthquake Engineering and Engineering Vibration, 2010, 30(2):24-31(in Chinese))

11 杨笑梅, 郭达文, 杨柏坡. 三维土-结构动力相互作用体系分析的两步时域显式波动有限元过程. 地震工程与工程振动, 2011, 31(4):9-17(Yang Xiaomei, Guo Dawen, Yang Baipo. A two-step explicit finite element method in time domain for 3D dynamic SSI analysis. Jounal of Earthquake Engineering and Engineering Vibration, 2011, 31(4):9-17(in Chinese))

12 姜忻良, 张海顺. 土-结构非线性相互作用混合约束模态实施方法. 振动与冲击, 2015, 34(6):52-56(Jiang Xinliang, Zhang Haishun. Mixed constraint modal method for nonlinear soilstructure interaction. Journal of Vibration and Shock, 2015, 34(6):52-56(in Chinese))

13 Biot MA. Theory of propagation of elastic waves in a fluid-saturated porous solid. Acoust Soc Am, 1956, 28:168-191

14 Biot MA, Willis DG. The elastic coefficients of the theory of consolidation. Journal of Applied Mechanics, 1957, 24:594-601

15 Biot MA. Mechanics of deformation and acoustic propagation in porous media. Journal of Applied Physics, 1962, 33(4):1482-1498

16 Deresiewicz H, Rice JT. The effect of boundaries on wave propagation in a liquid-filled porous solid:Ⅲ. Reflection of plane waves at a free plane boundary(general case). Bull Seism Soc Am, 1962, 52(3):595-625

17 Deresiewicz H, Rice JT. The effect of boundaries on wave propagation in a liquid-filled porous solid:V. Transmission across a plane interface. Bull Seism Soc Am, 1964, 54(1):409-416

18 Deresiewicz H, Levy A. The effect of boundaries on wave propagation in a liquid-filled porous solid:X. Transmission through a stratified medium. Bull Seism Soc Am, 1967, 57(3):381-391

19 Jocker J, Smeulders D, Drijkoningen G, et al. Matrix propagator method for layered porous media:analytical expressions and stability criteria. Geophysics, 2004, 69(4):1071-1081

20 Rajapakse RKND, Senjuntichai T. Dynamic response of a multilayered poroelastic medium. Earthquake Engineering and Structure Dynamic, 1995, 24(5):703-722

21 Degrande G, Roeck G, Broeck P, et al. Wave propagation in layered dry,saturated and unsaturated poroelastic media. Int J Solids Structures, 1998, 35(34-35):4753-4778

22 Liang JW, You HB. Dynamic stiffness matrix of a poroelastic multilayered site and its Green's functions. Earthquake Engineering and Engineering Vibration, 2004, 3(2):273-282

23 李伟华,赵成刚. 饱和土沉积谷场地对平面SV波的散射问题的解析解. 地球物理学报,2004,47(5):911-919(Li Weihua, Zhao Chenggang. Scattering of Plane SV waves by circular-arc alluvial valleys with saturated soil deposits. Chinese J Geophys, 2004, 47(5):911-919(in Chinese))

24 赵宇昕, 陈少林. 关于传递矩阵法分析饱和成层介质响应问题的讨论. 力学学报, 2016, 48(5):1145-1158(Zhao Yuxin, Chen Shaolin. Discussion on the matrix propagator method to analyze the response of saturated layered media. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(5):1145-1158(in Chinese))

25 Halpern MR, Christiano P. Steady-state harmonic response of a rigid plate bearing on a liquid-saturated poroelastic half-space. Earthquake Engineering and Structural Dynamics, 1986, 14:439-454

26 Bougacha SJ, Roesset M, Tassoulas JL. Dynamic stiffness of foundation on fluid filled poroelastic stratum. Journal of Engineering Mechechanics, ASCE, 1993, 119(8):1649-1662

27 Japon BR, Gallego R, Dominguez J. Dynamic stiffness of foundations on saturated poroelastic soils. Journal of Engineering Mechechanics, ASCE, 1997, 123(11):1121-1129

28 陈少林, 甄澄. 饱和地基上基础动力阻抗函数的一种分析方法. 力学学报, 2012, 44(2):393-400(Chen Shaolin, Zhen Cheng. Dynamic impedance of foundation on saturated poroelastic soil. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(2):393-400(in Chinese))

29 陈少林, 甄澄. 下卧饱和半空间粘弹性土层上基础阻抗函数的分析. 振动工程学报, 2012, 25(4):446-452(Chen Shaolin, Zhen Cheng. Dynamic impedance of foundations on viscoelastic stratum and saturated elastic half-space. Journal of Vibration Engineering, 2012, 25(4):446-452(in Chinese))

30 Liang JW, Fu J, Todorovska MI, et al. Effects of the site dynamic characteristics on soil-structure interaction (I):incident SH waves. Soil Dynamics and Earthquake Engineering, 2013, 44:27-37

31 Liang JW, Fu J, Todorovska MI, et al. Effects of the site dynamic characteristics on soil-structure interaction (Ⅱ):incident P and SV waves. Soil Dynamics and Earthquake Engineering, 2013, 51:58-76

32 Liang JW, Fu J, Todorovska MI, et al. In-plane soil-structure interaction in layered, fluid-saturated, poroelastic half-space I:Structural response. Soil Dynamics and Earthquake Engineering, 2016, 81:84-111

33 陈少林,廖振鹏,陈进. 两相介质近场波动模拟的一种解耦有限元方法. 地球物理学报,2005, 48(4):909-917(Chen Shaolin, Liao Zhenpeng, Chen Jin. A decoupling FEM for simulating near-field wave motions in two-phase media. Chinese J Geophys, 2005, 84(4):909-917(in Chinese))

34 赵成刚,王进廷,史培新等. 流体饱和两相多孔介质动力反应分析的显式有限元法. 岩土工程学报,2001, 23(2):178-182(Zhao Chenggang, Wang Jinting, Shi Peixin, et al. Dynamic analysis of fluid-saturated porous media by using explicit finite element method Chinese Journal of Geotechnical Engineering, 2001, 23(2):178-182(in Chinese))

35 王进廷, 杜修力, 赵成刚. 液固两相饱和介质动力分析的一种显式有限元方法. 岩石力学与工程学报, 2002, 21(8):1199-1204(Wang Jinting, Du Xiuli, Zhao Chenggang. An explicit finite element method for dynamic analysis of fluid-saturated porous media. Chinese Journal of Rock Mechanics and Engineering, 2002, 21(8):1199-1204(in Chinese))

36 廖振鹏. 工程波动理论导论(第2版). 北京:科学出版社, 2002. 1-298(Liao Zhenpeng. Introduction to Wave Motion Theories in Engineering (2nd Edn). Beijing:Science Press, 2002. 1-298(in Chinese))

施引文献

资源附件(0)

访问统计