横观各向同性层状地基上埋置刚性条带基础动力刚度矩阵求解

韩泽军; 林皋; 周小文; 李建波

doi:10.11779/CJGE201606019

横观各向同性层状地基上埋置刚性条带基础动力刚度矩阵求解 English Version

1. 华南理工大学土木与交通学院,广东广州 510641；
2. 大连理工大学建设工程学部,辽宁大连 116024

基金项目: 国家自然科学基金青年科学基金项目（51508203）; 中央高校基本科研业务费面上项目（2015M020）; 博士后科学基金项目（2015M570713）

详细信息

作者简介:
韩泽军(1985- ),男,博士,助理研究员,主要从事水工结构抗震和结构地基相互作用科研。E-mail：ctzjhan@scut.edu.cn。

计量
- 文章访问数: 491
- HTML全文浏览量: 2
- PDF下载量: 282
出版历程
- 收稿日期: 2015-05-02
- 发布日期: 2016-06-24

Solution of dynamic stiffness matrix for rigid strip foundations embedded in layered transversely isotropic soil

1. School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510641, China;
2. Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, China

摘要

摘要: 提出了求解横观各向同性层状地基埋置刚性条带基础动力刚度矩阵的精确算法。算法利用空间变换方法求解得到了横观各向同性层状地基表面或内部任意点的动力位移响应,针对开挖基础求解开挖区域内节点群的动力柔度矩阵,最后利用容积算法求解埋置刚性条带基础动力刚度矩阵。此算法采用精细积分算法求解频率-波数域内层状地基的动力柔度系数,对层状地基的层数和厚度均没有任何限制。此外,算法基于维数较小的矩阵（2×2）运算,数值计算稳定,求解效率较高,数值算例验证了所提算法的精确性及对横观各向同性多层地基的广泛适用性。
- 横观各向同性 /
- 层状地基 /
- 精细积分算法 /
- 埋置刚性条带基础 /
- 动力刚度矩阵
Abstract: A precise algorithm is proposed to evaluate the dynamic stiffness matrix of the rigid strip foundation embedded in layered transversely isotropic soil. The space transformation method is used to obtain the dynamic displacement response of arbitrary nodes at the surface or in the layered transversely isotropic soil. Then the dynamic flexibility matrix of the nodes in the excavation scope is established. Finally the flexible volume method is introduced to evaluate the dynamic stiffness matrix of the rigid strip foundation. The proposed method solves the dynamic flexibility coefficients of the layered soil in the frequency-wave number domain by using the precise integration method, and there is no limit to the number and thickness of layers. In addition, the computation is based on the matrix algebra with small dimension, and the computation is always stable with high efficiency. Numerical examples demonstrate the accuracy and the wide applicability of the proposed method to the layered transversely isotropic soil.
- transverse isotropy /
- layered soil /
- precise integration method /
- embedded rigid strip foundation /
- dynamic stiffness matrix

HTML全文

参考文献(19)

[1]	LUCO J E. Linear soil-structure interaction: a review[J]. Earthquake Ground Motion and It’s Effects on Structures, ASME, 1982, 53: 41-57.
[2]	GAZETAS G. Analysis of machine foundation vibrations: state of the art[J]. Soil Dynamics and Earthquake Engineering, 1983, 2(1): 2-42.
[3]	TSYNKOV S V. Numerical solution of problem on unbounded domain: a review[J]. Applied Numerical Mathematics, 1998, 27: 465-532.
[4]	KAUSEL E. Early history of soil-structure interaction[J]. Soil Dynamics and Earthquake Engineering, 2010, 30: 822-832.
[5]	GAZATAS G. Strip foundations on a cross-anisotropic soil layer subjected to dynamic loading[J]. Géotechnique, 1981, 31(2): 161-179.
[6]	廖振鹏, 杨柏坡, 袁一凡. 暂态弹性波分析中人工边界的研究[J]. 地震工程与工程振动, 1982, 2(1): 1-11. (LIAO Zhen-peng, YANG Bai-po, YUAN Yi-fan. Artificial boundary in analysis of transient elastic wave propagation[J]. Earthquake Engineering and Engineering Vibration, 1982, 2(1): 1-11. (in Chinese))
[7]	ISRAIL ASM, AHMAD S. Dynamic vertical compliance of strip foundations in layered soils[J]. Earthquake Engineering & Structural Dynamics, 1989, 18: 933-950.
[8]	金峰, 张楚汉, 王光纶. 结构地基相互作用的FE-BE-IBE耦合模型[J]. 清华大学学报, 1993, 33(2): 17-24. (JIN Feng, ZHANG Chu-han, WANG Quang-lun. A coupling FE-BE-IBE model for structure-foundation interaction[J]. Journal of Tsinghua University, 1993, 33(2): 17-24. (in Chinese))
[9]	林皋, 韩泽军, 李伟东, 等. 多层地基条带基础动力刚度矩阵的精细积分算法[J]. 力学学报, 2012(3): 557-567. (LIN Gao, HAN Ze-jun, LI Wei-dong, et al. A precise integration approach for the dynamic-stiffness matrix of strip footings on a layered medium[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012(3): 557-567. (in Chinese))
[10]	LIN G, HAN Z J, ZHONG H, et al. A precise integration approach for dynamic impedance of rigid strip footing on arbitrary anisotropic layered half-space[J]. Soil Dynamics and Earthquake Engineering, 2013, 49: 96-108.
[11]	艾智勇, 张逸帆. 层状横观各向同性地基与刚性条形基础共同作用分析[J]. 岩土工程学报, 2014, 36(4): 752-756. (AI Zhi-yong, ZHANG Yi-fan. Interactive analysis of a rigid strip footing on transversely isotropic layered soils[J]. Chinese Journal of Geotechnical Engineering, 2014, 36(4): 752-756. (in Chinese))
[12]	WANG Y, RAJAPAKSE R K N D. Dynamic of rigid strip foundations embedded in orthotropic elastic soils[J]. Earthquake Engineering and Structural Dynamics, 1991, 20: 927-947.
[13]	KAUSEL E, ROESSET J M, WAAS G. Dynamic analysis of footings on layered media[J]. Journal of Engineering Mechanics, 1975, 101: 679-693.
[14]	PARK J, KAUSEL E. Numerical dispersion in the thin-layer method[J]. Computers & Structures 2004, 82: 607-625.
[15]	SPYRAKOS C C, BESKOS D E. Dynamic response of flexible strip-foundations by boundary and finite elements[J]. Soil Dynamics and Earthquake Engineering, 1986, 5(2): 84-96.
[16]	SPYRAKOS C C, CHAOJIN X. Dynamic analysis of flexible massive strip-foundations embedded in layered soils by hybrid BEM-FEM[J]. Computers and Structures, 2004, 82: 2541-2550.
[17]	韩泽军, 林皋, 钟红. 改进的比例边界有限元法求解层状地基动力刚度矩阵[J]. 水电能源科学, 2012(7): 100-104. (HAN Ze-jun, LIN Gao, ZHONG Hong. Modified scaled boundary finite element method solution for dynamic stiffness matrix of laminar foundation[J]. Water Resources and Power, 2012(7): 100-104. (in Chinese))
[18]	GAO Q, ZHONG W X, HOWSON W P. A precise method for solving wave propagation problems in layered anisotropic media[J]. Wave Motion; 2004, 40: 191-207.
[19]	TABATABAIE-RAISSI M. The flexible volume method for dynamic soil structure interaction analysis[D]. Berkeley: University of California, 1982.

施引文献

资源附件(0)

计量

文章访问数: 491
HTML全文浏览量: 2
PDF下载量: 282
被引次数: 0

横观各向同性层状地基上埋置刚性条带基础动力刚度矩阵求解 English Version

作者简介: 韩泽军(1985- ),男,博士,助理研究员,主要从事水工结构抗震和结构地基相互作用科研。E-mail：ctzjhan@scut.edu.cn。

计量

出版历程

Solution of dynamic stiffness matrix for rigid strip foundations embedded in layered transversely isotropic soil

计量

出版历程

目录

作者简介:
韩泽军(1985- ),男,博士,助理研究员,主要从事水工结构抗震和结构地基相互作用科研。E-mail：ctzjhan@scut.edu.cn。