饱和黏性土地基中现浇大直径管桩水平振动响应解析解

郑长杰; 刘汉龙; 丁选明; 付强

doi:10.11779/CJGE201408010

饱和黏性土地基中现浇大直径管桩水平振动响应解析解 English Version

郑长杰^{1, 2},
刘汉龙^{1, 2},
丁选明^1,3,,
付强^{1, 2}

1. 河海大学岩土力学与堤坝工程教育部重点实验室,江苏南京 210098; 2. 河海大学岩土工程科学研究所,江苏南京 210098; 3. 河海大学水资源高效利用与工程安全国家工程研究中心,江苏南京 210098

基金项目: 长江学者和创新团队发展计划（IRT1125）; 国家自然科学基金高铁联合基金重点项目（U1134207）; 新世纪优秀人才支持计划资助项目（NCET-12-0843）

详细信息

作者简介:
郑长杰(1989- ),男,博士研究生,主要从事桩基动力学方面的研究。E-mail: zhengchj1989@163.com。

中图分类号: TU470
计量
- 文章访问数: 351
- HTML全文浏览量: 4
- PDF下载量: 310
出版历程
- 收稿日期: 2013-06-27
- 发布日期: 2014-08-18

Analytical solution of horizontal vibration of cast-in-place large-diameter pipe piles in saturated soils

ZHENG Chang-jie^{1, 2},
LIU Han-long^{1, 2},
DING Xuan-ming^1,3,,
FU Qiang^{1, 2}

1. Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing 210098, China; 2. Geotechnical Research Institute, Hohai University, Nanjing 210098, China; 3. National Engineering Research Center of Water Resources Efficient Utilization and Engineering Safety, Hohai University, Nanjing 210098, China

摘要

摘要: 基于经典的平面应变假定,将土体假设为若干个相互独立的薄层,对饱和土地基中现浇大直径管桩水平振动频域特性进行了理论研究。首先通过引入势函数对土体动力固结方程解耦,采用Laplace变换和分离变量的方法求得了桩周土及桩芯土频域响应解析解,进而利用桩土完全耦合的条件得到桩振动响应解,给出了桩顶复阻抗解析表达式。将本文解完全退化到实心桩的解与已有理论解对比,验证了本文解的合理性并阐明两解的区别。通过参数分析,得到了桩长以及桩半径等参数对复阻抗特性影响的规律。
- 现浇大直径管桩 /
- 水平振动 /
- 解析解 /
- 复阻抗 /
- 饱和土
Abstract: Based on the classical plane strain assumption, considering the soils as a series of independent thin layers, the frequency-domain horizontal dynamic response of a cast-in-situ large-diameter concrete pipe pile in saturated soils is investigated. The potential functions are employed to decouple the consolidation equations of the soils, the analytical solutions of the outer and inner soils in frequency domain are obtained by the Laplace transform technique and the separation of variables. Under the assumption of perfect contacts between the pile and both the outer and inner soils, the response of the pile is derived and its complex impedances are obtained. The derived solution is compared with that of a solid pile to verify the rationality, and the difference between the two solutions is illustrated. The effects of the pile length and section radius on the complex impedance of pile top are analyzed.
- PCC pile /
- horizontal vibration /
- analytical solution /
- complex impedance /
- saturated soil

HTML全文

参考文献(17)

[1]	NOGAMI T, KONAGAI K. Time domain flexural response of dynamically loaded single piles[J]. Journal of Engineering Mechanics, ASCE, 1986, 114(9): 1512-1525.
[2]	MARKIS N, GAZETAS G. Displacement phase differences in a harmonically oscillating pile[J]. Géotechnique, 1993, 43(1): 135-150.
[3]	YAO S, NOGAMI T. Lateral cyclic response of pile in viscoelastic Winkler subgrade[J]. Journal of Engineering Mechanics, 1994, 120(4): 785-775.
[4]	NOVAK M, ABOUL-ELLA F. Dynamic stiffness and damping of piles[J]. Canadian Geotechnical Journal, 1974, 11(4): 575-598.
[5]	NOVAK M, NOGAMI T, ABOUL-ELLA F. Dynamics soil reactions for plane strain case[J]. Journal of the Engineering Mechanics Division, ASCE, 1978, 104(4): 953-959.
[6]	GAZETAS G, DOBRY R. Horizontal response of piles in layered soils[J]. Journal of Geotechnical Engineering, ASCE, 1984, 110(1): 20-40.
[7]	杨军, 宋二祥, 陈肇元. 桩在饱和土中水平振动的辐射阻尼简化算法[J]. 岩土力学, 2002, 23(2): 179-183. (YANG Jun, SONG Er-xiang, CHEN Zhao-yuan. Simple radiation damping model for horizontally vibrating pile in saturated soil[J]. Rock and Soil Mechanics, 2002, 23(2): 179-183. (in Chinese))
[8]	尚守平, 余俊, 王海东, 等. 饱和土中桩水平振动分析[J]. 岩土工程学报, 2007, 29(11): 1696-1702. (SHANG Shou-ping, YU Jun, WANG Hai-dong, et al. Horizontal vibration of piles in saturated soil[J]. Chinese Journal of Geotechnical Engineering, 2007, 29(11): 1696-1702. (in Chinese))
[9]	刘汉龙, 费康, 马晓辉, 等. 振动沉模大直径现浇薄壁管桩技术及其应用(Ⅰ): 开发研制与设计[J]. 岩土力学, 2003, 24(2): 164-168. (LIU Han-long, FEI Kang, MA Xiao-hui, et al. Cast-in-situ concrete thin-wall pipe pile with vibrated and steel tube mould technology and its application: I development and design[J]. Rock and Soil Mechanics, 2003, 24(2): 164-168. (in Chinese))
[10]	刘汉龙, 郝小员, 费康, 等. 振动沉模大直径现浇薄壁管桩技术及其应用(Ⅱ)工程应用与现场试验[J]. 岩土力学, 2003, 24(3): 372-375. (LIU Han-long, HAO Xiao-yuan, FEI Kang, et al. Field pour concrete thin wall cased pile technology and its application (Ⅱ): application and in-situ test[J]. Rock and Soil Mechanics, 2003, 24(3): 372-375. (in Chinese))
[11]	DING X M, LIU H L, LIU J Y, et al. Wave propagation in a pipe pile for low-strain integrity testing[J]. Journal of Engineering Mechanics, ASCE, 2011, 117(9): 598-609.
[12]	DING X M, LIU H L, ZHANG B. High-frequency interference in low strain integrity testing of large-diameter pipe piles[J]. Science China (Technological Sciences), 2011, 54(2): 420-430.
[13]	丁选明, 刘汉龙. 轴对称均匀黏弹性地基中现浇薄壁管桩纵向动力响应简化解析方法[J]. 岩土力学, 2008, 29(12): 3353-3359. (DING Xuan-ming, LIU Han-long. Simplified analytical method of vertical dynamic response of cast-in-situ concrete thin-wall pipe piles in axisymmetric homogeneous viscoelastic soil[J]. Rock and Soil Mechanics, 2008, 29(12): 3353-3359. (in Chinese))
[14]	丁选明, 刘汉龙. 大直径管桩在瞬态集中荷载作用下的振动响应时域解析解[J]. 岩土工程学报, 2013, 35(6): 1010-1017. (DING Xuan-ming, LIU Han-long. Time-domain analytical solution of the vibration response of a large-diameter pipe pile due to transient concentrated load[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(6): 1010-1017. (in Chinese))
[15]	郑长杰, 丁选明, 刘汉龙, 等. 考虑土体三维波动效应的现浇大直径管桩纵向振动[J]. 岩土工程学报, 35(12): 2247-2254. (ZHENG Chang-jie, DING Xuan-ming, LIU Han-long, et al. Analytical solution to vertical vibration of cast-in-place concrete large-diameter pipe piles by considering 3D wave effect of soils[J]. Chinese Journal of Geotechnical Engineering, 35(12): 2247-2254. (in Chinese))
[16]	BIOT M A. The theory of propagation of elastic waves in a fluid-saturated porous soild: I low-frequency range[J]. The Journal of the Acoustical Society of America, 1956, 28: 168-178.
[17]	SENJUNTICHAI T, RAJAPAKSE R K N D. Transient response of a circular cavity in a poroelastic medium[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1993, 17(6): 357-383.

施引文献(14)

期刊类型引用(2)

1.	谢军，李延涛，宗金辉，黄久鹏. 斜交隧道—土体相互作用体系振动台试验设计. 科学技术与工程. 2022(17): 7165-7173 . 百度学术
2.	李平，刘应慈，周楷，朱胜，李玉影. 振动台模型试验相似设计综述. 防灾科技学院学报. 2020(04): 29-35 . 百度学术