Full Text:   <3174>

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CLC number: TU471.3

On-line Access: 2024-08-27

Received: 2023-10-17

Revision Accepted: 2024-05-08

Crosschecked: 2016-11-10

Cited: 0

Clicked: 5150

Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Zhen-ya Li

http://orcid.org/0000-0002-6671-0326

Kui-hua Wang

http://orcid.org/0000-0002-9362-0326

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Journal of Zhejiang University SCIENCE A 2016 Vol.17 No.12 P.974-988

http://doi.org/10.1631/jzus.A1500341


Vertical vibration of a large diameter pile embedded in inhomogeneous soil based on the Rayleigh-Love rod theory


Author(s):  Zhen-ya Li, Kui-hua Wang, Wen-bing Wu, Chin Jian Leo

Affiliation(s):  MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering, Zhejiang University, Hangzhou 310058, China; more

Corresponding email(s):   zdwkh0618@zju.edu.cn

Key Words:  Large diameter pile, Vertical vibration, Transverse inertia effect, Rayleigh-Love rod model, Inhomogeneous soil


Zhen-ya Li, Kui-hua Wang, Wen-bing Wu, Chin Jian Leo. Vertical vibration of a large diameter pile embedded in inhomogeneous soil based on the Rayleigh-Love rod theory[J]. Journal of Zhejiang University Science A, 2016, 17(12): 974-988.

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%T Vertical vibration of a large diameter pile embedded in inhomogeneous soil based on the Rayleigh-Love rod theory
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%A Kui-hua Wang
%A Wen-bing Wu
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%DOI 10.1631/jzus.A1500341

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DOI - 10.1631/jzus.A1500341


Abstract: 
The vertical vibration of a large diameter pile embedded in inhomogeneous soil with hysteretic type damping is investigated based on the 3D axisymmetric model. Firstly, the pile is assumed to be a Rayleigh-Love rod with the consideration of its transverse inertia effect. Following this assumption, the pile-soil system is divided into several segments according to the stratification of the surrounding soil, and the dynamic interactions of the adjacent soil layers are simulated using the distributed Voigt model. Meanwhile, the surrounding soil is discretized into finite annular vertical zones to consider its radial inhomogeneity, and the force equilibrium and displacement coordination are satisfied at the interfaces of the adjacent soil zones and the interface of the pile-soil. Then, the analytical solution in the frequency domain and the semi-analytical solution in the time domain are obtained by solving the vibration governing equations of pile-soil system. Based on the solutions, a parametric analysis is conducted to investigate the influence of the transverse inertia effect on the dynamic response of the large diameter pile and its relationship with the pile parameters and the radial inhomogeneity of the surrounding soil. Finally, a comparison with the measured result and two other calculated results is presented to verify the effectiveness of the present solution.

This manuscript aims to obtain an analytical solution in the frequency domain and the corresponding semi-analytical solution in the time domain for the dynamic response of a large diameter pile, and to investigate the influence of the transverse inertia effect and its relationship with pile parameters and the radial inhomogeneity of the surrounding soil. The parametric analysis is detailed and in-depth, and the comparison with the field test result shows a good performance of the proposed model.

基于Rayleigh-Love杆理论的非均质土中大直径桩纵向振动

目的:研究大直径桩横向惯性效应对其动力响应的影响以及与土体径向非均质性的关系。
创新点:1. 采用Rayleigh-Love杆模型模拟大直径桩,考虑其横向惯性效应;2. 所建立的桩土相互作用模型能同时考虑土体的竖向成层性和径向非均质性。
方法:1. 采用Rayleigh-Love杆模型模拟大直径桩,建立桩土体系纵向振动控制方程(公式(1)和(4));2. 通过求解方程,得到桩顶纵向振动频域响应解析解(公式(15))和时域响应半解析解(公式(16));3. 通过参数分析的方法,研究横向惯性效应对桩顶响应的影响以及与桩身参数和桩周土径向非均质性的关系(图2~9);4. 通过与工程实例的对比,证明本文解的合理性(图11)。
结论:1. 考虑横向惯性效应时,桩底反射信号后移,导致桩的计算长度大于其实际值;2. 横向惯性效应的影响程度随着桩身半径、泊松比、桩周土软化范围和软化程度的增大而增强,随着桩身混凝土强度等级、桩周土硬化范围和硬化程度的增大而减弱;3. 考虑横向惯性效应时的计算曲线与实测曲线更为吻合。

关键词:大直径桩;纵向振动;横向惯性效应;Rayleigh-Love杆模型;非均质土

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1]Achenbach, J.D., 1973. Wave Propagation in Elastic Solids. Elsevier, the Netherland.

[2]Chai, H.Y., Phoon, K.K., Zhang, D.J., 2010. Effects of the source on wave propagation in pile integrity testing. Journal of Geotechnical and Geoenvironmental Engineering, 136(9):1200-1208.

[3]Chai, H.Y., Wei, C.F., Phoon, K.K., et al., 2011. Some observations on the performance of the signal matching technique in assessment of pile integrity. Journal of Nondestructive Evaluation, 30(4):246-258.

[4]Chow, Y.K., Phoon, K.K., Chow, W.F., et al., 2003. Low strain integrity testing of piles: 3D effects. Journal of Geotechnical and Geoenvironmental Engineering, 129(11):1057-1062.

[5]Ding, X.M., Liu, H.L., Liu, J.Y., et al., 2011. Wave propagation in a pipe pile for low-strain integrity testing. Journal of Engineering Mechanics, 137(9):598-609.

[6]El Naggar, M.H., 2000. Vertical and torsional soil reactions for radially inhomogeneous soil layer. Structural Engineering and Mechanics, 10(4):299-312.

[7]El Naggar, M.H., Novak, M., 1994. Nonlinear axial interaction in pile dynamics. Journal of Geotechnical Engineering, 120(4):678-696.

[8]El Naggar, M.H., Wei, J.Q., 2000. Uplift behaviour of tapered piles established from model tests. Canadian Geotechnical Journal, 37(1):56-74.

[9]Elkasabgy, M., El Naggar, M.H., 2013. Dynamic response of vertically loaded helical and driven steel piles. Canadian Geotechnical Journal, 50(5):521-535.

[10]Gong, C.Z., He, C.L., Gong, W.M., et al., 2012. Analysis of size effect on large diameter rock-socketed pile based on self-balance method. Rock and Soil Mechanics, 33(8):2403-2407 (in Chinese).

[11]Han, Y.C., 1997. Dynamic vertical response of piles in nonlinear soil. Journal of Geotechnical and Geoenvironmental Engineering, 123(8):710-716.

[12]Han, Y.C., Sabin, G.C.W., 1995. Impedances for radially inhomogeneous viscoelastic soil media. Journal of Engineering Mechanics, 121(9):939-947.

[13]He, C.L., Gong, C.Z., Gong, F., et al., 2015. Laboratory test on the effect of diameter and depth of rock-socketed piles. Chinese Journal of Underground Space and Engineering, 11(2):293-298 (in Chinese).

[14]Jardine, R.J., Zhu, B.T., Foray, P., et al., 2013. Measurement of stresses around closed-ended displacement piles in sand. Géotechnique, 63(1):1-17.

[15]Li, Q., Wang, K.H., Xie, K.H., 2005. Dynamic response for vertical vibration of large diameter pile in saturated soil. Journal of Vibration Engineering, 18(4):500-505 (in Chinese).

[16]Li, Z.Y., Wang, K.H., Lv, S.H., et al., 2015. A new approach for time effect analysis in the settlement of single pile in nonlinear viscoelastic soil deposits. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 16(8):630-643.

[17]Liao, S.T., Roesset, J.M., 1997. Dynamic response of intact piles to impulse loads. International Journal for Numerical and Analytical Methods in Geomechanics, 21(4):255-275.

[18]Liu, F.T., Zhao, C.F., Wu, J., et al., 2010. Experimental research on bearing behavior and size effect of large diameter bored cast-in-situ piles in Changzhou area. Chinese Journal of Rock Mechanics and Engineering, 29(4):858-864 (in Chinese).

[19]Lü, S.H., Wang, K.H., Wu, W.B., et al., 2014. Longitudinal vibration of a pile embedded in layered soil considering the transverse inertia effect of pile. Computers and Geotechnics, 62:90-99.

[20]Lü, S.H., Wang, K.H., Wu, W.B., et al., 2015. Longitudinal vibration of pile in layered soil based on Rayleigh-Love rod theory and fictitious soil-pile model. Journal of Central South University, 22(5):1909-1918.

[21]Militano, G., Rajapakse, R.K.N.D., 1999. Dynamic response of a pile in a multi-layered soil to transient torsional and axial loading. Géotechnique, 49(1):91-109.

[22]MOHURD (Ministry of Housing and Urban-Rural Development), 2010. Code for Design of Concrete Structures, GB50010-2010. China Architecture & Building Press, China (in Chinese).

[23]Nogami, T., Novák, M., 1976. Soil-pile interaction in vertical vibration. Earthquake Engineering & Structural Dynamics, 4(3):277-293.

[24]Nogami, T., Konagai, K., 1988. Time domain flexural response of dynamically loaded single piles. Journal of Engineering Mechanics, 114(9):1512-1525.

[25]Que, R.B., Wang, K.H., 2007. Theory on longitudinal vibration of pile in viscous damping soil layer considering 3D wave effect and its applications. Chinese Journal of Rock Mechanics and Engineering, 26(2):381-390 (in Chinese).

[26]Randolph, M.F., Deeks, A.J., 1992. Dynamic and static soil models for axial pile response. Proceedings of the 4th International Conference on the Application of Stress Wave Theory to Piles, the Hague, the Netherlands, p.21-24.

[27]Seidel, J.P., Tan, S.K., 2004. Elimination of the Rayleigh wave effect on low strain integrity test results (Part 1: experimental investigation). Proceedings of the 7th International Conference on the Application of Stress Wave Theory to Piles, Kuala Lumpur, Malaysia, p.179-185.

[28]Tian, X.J., Hu, W.T., Gong, X.N., 2015. Longitudinal dynamic response of pile foundation in a nonuniform initial strain field. KSCE Journal of Civil Engineering, 19(6):1656-1666.

[29]Wang, N., Wang, K.H., Wu, W.B., 2013. Analytical model of vertical vibrations in piles for different tip boundary conditions: parametric study and applications. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 14(2):79-93.

[30]Wu, W.B., Wang, K.H., Yang, D.Y., et al., 2012. Longitudinal dynamic response to the pile embedded in layered soil based on the fictitious soil pile model. Chinese Journal of Highway and Transport, 25(2):72-80 (in Chinese).

[31]Wu, W.B., Wang, K.H., Zhang, Z.Q., et al., 2013. Soil-pile interaction in the pile vertical vibration considering true three-dimensional wave effect of soil. International Journal for Numerical and Analytical Methods in Geomechanics, 37(17):2860-2876.

[32]Wu, W.B., Jiang, G.S., Huang, S.G., et al., 2014. Vertical dynamic response of pile embedded in layered transversely isotropic soil. Mathematical Problems in Engineering, 2014(12):1-12.

[33]Yang, D.Y., Wang, K.H., Ding, H.P., 2013. Vertical vibration of pile based on continuum medium model in vertically and radially inhomogeneous soil layers. China Civil Engineering Journal, 46(3):119-126 (in Chinese).

[34]Yang, X., Tang, J., 2013. Vertical vibration of single pile with transversal inertia effect in stratified saturated soil. Rock and Soil Mechanics, 34(6):1560-1566 (in Chinese).

[35]Yesilce, Y., Catal, H.H., 2008a. Free vibration of piles embedded in soil having different modulus of subgrade reaction. Applied Mathematical Modelling, 32(5):889-900.

[36]Yesilce, Y., Catal, H.H., 2008b. Free vibration of semi-rigid connected Reddy-Bickford piles embedded in elastic soil. Sadhana-Academy Proceedings in Engineering Sciences, 33(6):781-801.

[37]Yesilce, Y., Catal, H.H., 2008c. Free vibration of semi-rigidly connected piles embedded in soils with different subgrades. International Journal of Structural Stability and Dynamics, 8(2):299-320.

[38]Yu, J., Cai, Y.Y., Wu, W.B., 2013. Effect of sediment on vertical dynamic impedance of rock-socketed pile with large diameter. Journal of Central South University, 20:2856-2862.

[39]Zhou, J.J., Wang, K.H., Gong, X.N., et al., 2013. Bearing capacity and load transfer mechanism of a static drill rooted nodular pile in soft soil areas. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 14(10):705-719.

[40]Zhou, J.J., Gong, X.N., Wang, K.H., et al., 2015. A field study on the behavior of static drill rooted nodular piles with caps under compression. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 16(12):951-963.

[41]Zhou, X.L., Wang, J.H., Jiang, L.F., et al., 2009. Transient dynamic response of pile to vertical load in saturated soil. Mechanics Research Communications, 36(5):618-624.

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