Lateral and vertical vibrations of a pile subjected to eccentric transient excitation

LU Zhi-tang; WANG Zhi-liang; KE Zhai-bang; XIONG Feng; LIU Dong-jia; TAN Xiao-hui

doi:10.11779/CJGE202209021

Volume 44 Issue 9

Turn off MathJax

Article Contents

Abstract

References

Chinese Journal of Geotechnical Engineering > 2022 > 44(9): 1751-1759. > DOI: 10.11779/CJGE202209021

LU Zhi-tang, WANG Zhi-liang, KE Zhai-bang, XIONG Feng, LIU Dong-jia, TAN Xiao-hui. Lateral and vertical vibrations of a pile subjected to eccentric transient excitation[J]. Chinese Journal of Geotechnical Engineering, 2022, 44(9): 1751-1759. DOI: 10.11779/CJGE202209021

Citation:

PDF (3483 KB)

Lateral and vertical vibrations of a pile subjected to eccentric transient excitation

1.
School of Resources and Environmental Engineering, Hefei University of Technology, Hefei 230009, China
2.
School of Civil and Hydraulic Engineering, Hefei University of Technology, Hefei 230009, China
3.
Anhui Key Laboratory of Green Building and Assembly Construction, Hefei 230031, China

More Information

Received Date: August 25, 2021
Available Online: September 22, 2022

Graphical Abstract

Abstract

Abstract

To investigate the lateral and vertical vibration responses of the pile under eccentric transient excitation, the theoretical calculation based on the Bernoulli-Euler (BE) beam theory and the three-dimensional (3D) numerical simulation are first carried out respectively, and the calculated results are compared with the test data of the model pile to verify their rationality. Then, the characteristics of the lateral velocity response on the pile-top are analyzed, and the differences between the lateral and vertical velocities are discussed. Finally, the influences of the cross-section size and shape, pulse width, pile length, soil stiffness and vertical narrow defects on the lateral vibration velocity of the pile-top are studied, and the applicability of the BE beam model and 3D numerical model is evaluated. The results show that when the eccentric excitation is applied, the flexural waves reflected from the pile-toe reach the pile-top in the form of group waves, and the propagation velocity of the first arrival reflected waves is close to that of the shear waves. In addition to that of the longitudinal waves, the propagation of the flexural waves can also trigger vertical vibration of the pile. With an increase in the stiffness of the surrounding soil, the strength of the reflected flexural waves caused by the pile-toe decreases, and the attenuation of the flexural waves is severer than that of the longitudinal waves. The flexural waves can be significantly reflected when they encounter the vertical narrow defect. It is also found that the vertical eccentric excitation method and the use of the lateral vibration velocity of the pile-top are beneficial to accurately detecting the pile integrity.
- eccentric excitation,
- BE beam,
- 3D numerical solution,
- flexural wave,
- vertical narrow defect

FullText(HTML)

References (34)

References

[1]	CHAI H Y, PHOON K K, ZHANG D J. Effects of the source on wave propagation in pile integrity testing[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2010, 136(9): 1200–1208. doi: 10.1061/(ASCE)GT.1943-5606.0000272
[2]	ZHENG C J, GAN S S, LUAN L B, et al. Vertical dynamic response of a pile embedded in a poroelastic soil layer overlying rigid base[J]. Acta Geotechnica, 2021, 16(3): 977–983. doi: 10.1007/s11440-020-01033-4
[3]	胡安峰, 谢康和, 王奎华. 黏弹性地基中有限长桩横向受迫振动问题解析解[J]. 岩土力学, 2003, 24(1): 25–29. doi: 10.3969/j.issn.1000-7598.2003.01.005 HU An-feng, XIE Kang-he, WANG Kui-hua. An analytical solution for lateral vibration of a pile with finite length pile in viscoelastic subgrade[J]. Rock and Soil Mechanics, 2003, 24(1): 25–29. (in Chinese) doi: 10.3969/j.issn.1000-7598.2003.01.005
[4]	刘东甲, 王建国. 瞬态横向振动桩的Winkler参数[J]. 岩土力学, 2003, 24(6): 922–926. doi: 10.3969/j.issn.1000-7598.2003.06.010 LIU Dong-jia, WANG Jian-guo. Winkler parameters κ and c for transient lateral vibrating piles[J]. Rock and Soil Mechanics, 2003, 24(6): 922–926. (in Chinese) doi: 10.3969/j.issn.1000-7598.2003.06.010
[5]	刘东甲, 王建国. 均匀土中有限长桩瞬态横向动力响应[J]. 工程力学, 2003, 20(6): 160–165. doi: 10.3969/j.issn.1000-4750.2003.06.029 LIU Dong-jia, WANG Jian-guo. Transient lateral response of a finite pile in homogeneous soil[J]. Engineering Mechanics, 2003, 20(6): 160–165. (in Chinese) doi: 10.3969/j.issn.1000-4750.2003.06.029
[6]	龙丽丽, 刘东甲, 卢志堂, 等. 基于Timoshenko梁模型的完整桩瞬态横向振动模拟计算[J]. 合肥工业大学学报(自然科学版), 2011, 34(3): 403–407. doi: 10.3969/j.issn.1003-5060.2011.03.020 LONG Li-li, LIU Dong-jia, LU Zhi-tang, et al. Simulation and calculation of transient lateral vibration of integrate piles based on Timoshenko beam[J]. Journal of Hefei University of Technology (Natural Science), 2011, 34(3): 403–407. (in Chinese) doi: 10.3969/j.issn.1003-5060.2011.03.020
[7]	龙丽丽, 刘东甲, 蒋红. 水平瞬态荷载下基桩的动力响应分析[J]. 合肥工业大学学报(自然科学版), 2012, 35(7): 951–956. https://www.cnki.com.cn/Article/CJFDTOTAL-HEFE201207022.htm LONG Li-li, LIU Dong-jia, JIANG Hong. Dynamic response of piles subjected to transient lateral loading[J]. Journal of Hefei University of Technology (Natural Science), 2012, 35(7): 951–956. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-HEFE201207022.htm
[8]	龙丽丽, 刘东甲, 蒋红. Timoshenko梁模型下完整桩瞬态横向振动半解析解[J]. 合肥工业大学学报(自然科学版), 2016, 39(3): 368–373. doi: 10.3969/j.issn.1003-5060.2016.03.017 LONG Li-li, LIU Dong-jia, JIANG Hong. Semi-analytical solution for transient lateral vibration of integrate piles based on Timoshenko beam model[J]. Journal of Hefei University of Technology (Natural Science), 2016, 39(3): 368–373. (in Chinese) doi: 10.3969/j.issn.1003-5060.2016.03.017
[9]	郑长杰, 刘汉龙, 丁选明, 等. 饱和黏性土地基中现浇大直径管桩水平振动响应解析解[J]. 岩土工程学报, 2014, 36(8): 1447–1454. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201408012.htm ZHENG Chang-jie, LIU Han-long, DING Xuan-ming, et al. Analytical solution of horizontal vibration of cast-in-place large-diameter pipe piles in saturated soils[J]. Chinese Journal of Geotechnical Engineering, 2014, 36(8): 1447–1454. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201408012.htm
[10]	郑长杰, 丁选明, 栾鲁宝. 黏弹性地基中管桩水平动力特性分析[J]. 岩土力学, 2017, 38(1): 26–32, 40. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201701005.htm ZHENG Chang-jie, DING Xuan-ming, LUAN Lu-bao. Analysis of lateral dynamic response of pipe pile in viscoelastic soil layer[J]. Rock and Soil Mechanics, 2017, 38(1): 26–32, 40. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201701005.htm
[11]	栾鲁宝, 丁选明, 刘汉龙, 等. 考虑剪切变形的PCC桩水平振动响应解析解[J]. 岩石力学与工程学报, 2016, 35(11): 2345–2358. https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX201611019.htm LUAN Lu-bao, DING Xuan-ming, LIU Han-long, et al. Analytical solutions to lateral dynamic response of PCC piles considering shear deformation[J]. Chinese Journal of Rock Mechanics and Engineering, 2016, 35(11): 2345–2358. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX201611019.htm
[12]	刘林超, 闫启方, 闫盼. 考虑三维波动的饱和土中管桩群桩的水平振动研究[J]. 岩土力学, 2017, 38(10): 2817–2825. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201710007.htm LIU Lin-chao, YAN Qi-fang, YAN Pan. Horizontal vibration of pipe pile groups in saturated soil considering three-dimensional wave effects[J]. Rock and Soil Mechanics, 2017, 38(10): 2817–2825. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201710007.htm
[13]	范小雪, 李原, 吴文兵, 等. 饱和土中大直径缺陷桩水平振动响应研究[J]. 岩石力学与工程学报, 2020, 39(2): 413–423. https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX202002019.htm FAN Xiao-xue, LI Yuan, WU Wen-bing, et al. Horizontal vibration response of defective large-diameter piles embedded in saturated soils[J]. Chinese Journal of Rock Mechanics and Engineering, 2020, 39(2): 413–423. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX202002019.htm
[14]	王腾, 王婵. 径向软化成层土中单桩风机水平振动特性研究[J]. 振动与冲击, 2021, 40(11): 86–93. https://www.cnki.com.cn/Article/CJFDTOTAL-ZDCJ202111013.htm WANG Teng, WANG Chan. Horizontal vibration characteristics of monopile wind turbine in radial softening layered soil[J]. Journal of Vibration and Shock, 2021, 40(11): 86–93. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZDCJ202111013.htm
[15]	LUAN L B, DING X M, ZHENG C J, et al. Dynamic response of pile groups subjected to horizontal loads[J]. Canadian Geotechnical Journal, 2020, 57(4): 469–481. doi: 10.1139/cgj-2019-0031
[16]	付鹏, 胡安峰, 李怡君, 等. 海洋高桩基础水平振动特性分析[J]. 振动与冲击, 2019, 38(17): 88–94. https://www.cnki.com.cn/Article/CJFDTOTAL-ZDCJ201917013.htm FU Peng, HU An-feng, LI Yi-jun, et al. Horizontal vibration characteristics of offshore elevated piles[J]. Journal of Vibration and Shock, 2019, 38(17): 88–94. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZDCJ201917013.htm
[17]	陈云敏, 王宏志. 回传射线矩阵法分析桩的横向动力响应[J]. 岩土工程学报, 2002, 24(3): 271–275. doi: 10.3321/j.issn:1000-4548.2002.03.001 CHEN Yun-min, WANG Hong-zhi. Analysis on lateral dynamic response of a pile with the method of reverberation ray matrix[J]. Chinese Journal of Geotechnical Engineering, 2002, 24(3): 271–275. (in Chinese) doi: 10.3321/j.issn:1000-4548.2002.03.001
[18]	余云燕, 陈云敏. 不均匀土中有限长桩的横向瞬态波动[J]. 固体力学学报, 2005, 26(4): 429–433. doi: 10.3969/j.issn.0254-7805.2005.04.008 YU Yun-yan, CHEN Yun-min. Flexural wave of finite pile in a non-uniform soil[J]. Acta Mechanica Solida Sinica, 2005, 26(4): 429–433. (in Chinese) doi: 10.3969/j.issn.0254-7805.2005.04.008
[19]	WU J T, EL NAGGAR M H, WANG K H, et al. Lateral vibration characteristics of an extended pile shaft under low-strain integrity test[J]. Soil Dynamics and Earthquake Engineering, 2019, 126: 105812. doi: 10.1016/j.soildyn.2019.105812
[20]	刘圆圆, 孙箭林. 非饱和土中单桩的横向瞬态响应研究[J]. 工业建筑, 2021, 51(2): 121–129. https://www.cnki.com.cn/Article/CJFDTOTAL-GYJZ202102018.htm LIU Yuan-yuan, SUN Jian-lin. Time domain dynamic analysis of single piles subjected to impact loads in unsaturated soil[J]. Industrial Construction, 2021, 51(2): 121–129. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-GYJZ202102018.htm
[21]	陈云敏, 陈仁朋, 朱斌. 打桩过程中桩的横向振动分析[J]. 振动工程学报, 2001, 14(2): 215–219. https://www.cnki.com.cn/Article/CJFDTOTAL-ZDGC200102018.htm CHEN Yun-min, CHEN Ren-peng, ZHU Bin. An approach to analyzing the transverse vibration of a pile during pile driving[J]. Journal of Vibration Engineering, 2001, 14(2): 215–219. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZDGC200102018.htm
[22]	奚亚男, 刘东甲, 高云. 完整桩横向瞬态振动响应的数值模拟[J]. 合肥工业大学学报(自然科学版), 2009, 32(8): 1233–1236. doi: 10.3969/j.issn.1003-5060.2009.08.027 XI Ya-nan, LIU Dong-jia, GAO Yun. Numerical simulation of transient vibration response of integral piles[J]. Journal of Hefei University of Technology (Natural Science), 2009, 32(8): 1233–1236. (in Chinese) doi: 10.3969/j.issn.1003-5060.2009.08.027
[23]	CHANG X M, LIU D J, GAO F, et al. A study on lateral transient vibration of large diameter piles considering pile-soil interaction[J]. Soil Dynamics and Earthquake Engineering, 2016, 90: 211–220. http://www.sciencedirect.com/science?_ob=ShoppingCartURL&_method=add&_eid=1-s2.0-S0267726116301737&originContentFamily=serial&_origin=article&_ts=1473328101&md5=39eef041401d2cdecd5924e90243b35f
[24]	SAMU V, GUDDATI M. Nondestructive method for length estimation of pile foundations through effective dispersion analysis of reflections[J]. Journal of Nondestructive Evaluation, 2019, 38(2): 1–11.
[25]	SAMU V, GUDDATI M. Nondestructive length estimation of an embedded pile through combined analysis of transverse and longitudinal waves[J]. NDT & E International, 2020, 110: 102203. http://www.sciencedirect.com/science/article/pii/S096386951930129X
[26]	YU C P. Evaluation of pile lengths using impact-induced flexural vibrations - a frequency domain approach[J]. NDT & E International, 2019, 108: 102174.
[27]	马建军, 王满, 刘家宇, 等. 基于Winkler地基理论的横向受荷长桩非线性动力响应模型试验[J]. 振动与冲击, 2021, 40(1): 39–44, 67. https://www.cnki.com.cn/Article/CJFDTOTAL-ZDCJ202101007.htm MA Jian-jun, WANG Man, LIU Jia-yu, et al. Model tests of nonlinear dynamic responses for laterally loaded long piles based on Winkler foundation theory[J]. Journal of Vibration and Shock, 2021, 40(1): 39–44, 67. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZDCJ202101007.htm
[28]	HIGDON R L. Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation[J]. Mathematics of Computation, 1986, 47(176): 437. http://www.ams.org/journals/mcom/1986-47-176/S0025-5718-1986-0856696-4/S0025-5718-1986-0856696-4.pdf
[29]	HIGDON R L. Numerical absorbing boundary conditions for the wave equation[J]. Mathematics of Computation, 1987, 49(179): 65–90. http://www.ams.org/journals/mcom/1987-49-179/S0025-5718-1987-0890254-1/S0025-5718-1987-0890254-1.pdf
[30]	HIGDON R L. Absorbing boundary conditions for elastic waves[J]. GEOPHYSICS, 1991, 56(2): 231–241. http://pubs.geoscienceworld.org/geophysics/article-pdf/56/2/231/3161001/231.pdf
[31]	卢志堂. 大直径桩低应变测试的理论及试验研究[D]. 合肥: 合肥工业大学, 2011. LU Zhi-tang. Theoretical Study and Experiment on Low Strain Testing of Large-Diameter Piles[D]. Hefei: Hefei University of Technology, 2011. (in Chinese)
[32]	JIANG J, LIU D J, LU Z T, et al. A study on low strain integrity testing of platform-pile system using staggered grid finite difference method[J]. Soil Dynamics and Earthquake Engineering, 2014, 67: 345–352.
[33]	LIN B, GRESIL M, GIURGIUTIU V, et al. Structural health monitoring with piezoelectric wafer active sensors exposed to irradiation effects[C]// Proceedings of ASME 2012 Pressure Vessels and Piping Conference. Toronto, 2013.
[34]	HOPKINS H G. Wave motion in elastic solids[J]. Physics Bulletin, 1976, 27(1): 30.

Supplements (0)

Cited By

Cited by

Periodical cited type(1)

陈娟，姜命强，赵源. 基于多目标优化的动水注浆参数设计. 水利规划与设计. 2025(02): 76-79+102 .

Other cited types(1)

Get Citation

PDF

XML

Article views (165) PDF downloads (37) Cited by(2)

Lateral and vertical vibrations of a pile subjected to eccentric transient excitation

Abstract

References

Cited by

Periodical cited type(1)

Other cited types(1)

Catalog

Related

Lateral and vertical vibrations of a pile subjected to eccentric transient excitation

Abstract

References

Cited by

Periodical cited type(1)

Other cited types(1)

Catalog

Related

Export File

Citation

Format

Content