Skip to main content
Log in

Numerical and test study on vertical vibration characteristics of pile group in slope soil topography

  • Technical Papers
  • Published:
Earthquake Engineering and Engineering Vibration Aims and scope Submit manuscript

Abstract

Topography effects on the vertical vibration responses of pile group are revealed though numerical analysis and model tests. First, a series of model tests with different topography of ground and bedrock are conducted. The results indicate that displacement amplitude of the pile head in sloping ground topography is larger than in horizontal ground. Differential displacement at various positions of the pile cap is observed in non-horizontal topography. Afterwards, a numerical algorithm is employed to further explore the essential response characteristics in group piles of different topography configurations, which has been verified by the test results. The lengths of the exposed and frictional segment, together with the thickness of the subsoil layer, are the dominant factors which cause non-axisymmetric vibration at the pile cap.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Amorosi A, Boldini D and Lernia AD (2017), “Dynamic Soil-Structure Interaction: A Three-Dimensional Numerical Approach and its Application to the Lotung Case Study,” Computers and Geotechnics, 90: 34–54.

    Article  Google Scholar 

  • Baars DS (2014), “The Inclination and Shape Factors for the Bearing Capacity of Footings,” Soils and Foundations, 54(5): 985–992.

    Article  Google Scholar 

  • Cao WZ, Zheng JJ, Zhang J and Zhang RJ (2016), “Field Test of a Geogrid-Reinforced and Floating Pile-Supported Embankment,” Geosynthetics International, 23(5): 348–361.

    Article  Google Scholar 

  • Choudhury D and Rao KSS (2006), “Seismic Bearing Capacity of Shallow Strip Footings Embedded in Slope,” International Journal of Geomechanics, 6(3): 176–184.

    Article  Google Scholar 

  • Chu JH, Ma M and Liu JB (2018). “Analysis of Dynamic Stiffness of Bridge Cap-Pile System,” Shock and Vibration, ID 7645726.

  • Cui CYKM, Wu YJ, David C and Liang ZM (2018), “Dynamic Response of Pipe Pile Embedded in Layered Visco-Elastic Media with Radial Inhomogeneity Under Vertical Excitation,” Geomechanics and Engineering, 16(6): 609–618.

    Google Scholar 

  • Ding XM, Liu HL, Chu J and Cheng K (2015), “Time-Domain Solution for Transient Dynamic Response of a Large-Diameter Thin-Walled Pipe Pile,” Earthquake Engineering and Engineering Vibration, 14(2): 239–251.

    Article  Google Scholar 

  • Han F, Salgado R, Prezzi M and Lim J (2017), “Shaft and Base Resistance of Non-Displacement Piles in Sand,” Computers and Geotechnics, 83: 184–197.

    Article  Google Scholar 

  • Han YC (2008), “Study of Vibrating Foundations Considering Soil-Pile-Structure Interaction for Practical Applications,” Earthquake Engineering and Engineering Vibration, 7(3): 90–96.

    Article  Google Scholar 

  • Kanellopoulos K and Gazetas G (2019), “Vertical Static and Dynamic Pile-to-Pile Interaction in Non-Linear Soil,” Géotechnique, 1–51.

  • Kumar Y (2012), “Free Vibrations of Simply Supported Nonhomogeneous Isotropic Rectangular Plates of Bilinearly Varying Thickness and Elastically Restrained Edges Against Rotation Using Rayleigh-Ritz Method,” Earthquake Engineering and Engineering Vibration, 11(2): 273–280.

    Article  Google Scholar 

  • Kuo KA and Hunt HEM (2013), “An Efficient Model for the Dynamic Behavior of a Single Pile in Viscoelastic Soil,” Journal of Sound and Vibration, 332(10): 2549–2561.

    Article  Google Scholar 

  • Luan LB, Ding XM, Zheng CJ, Kouretzis GP and Wu Q (2020b), “Dynamic Response of Pile Groups Subjected to Horizontal Loads,” Canadian Geotechnical Journal, 57(4): 469–481. https://doi.org/10.1139/cgj-2019-0031

    Article  Google Scholar 

  • Luan LB, Zheng CJ, Kouretzis GP and Ding XM (2020a), “Dynamic Analysis of Pile Groups Subjected to Horizontal Loads Considering Coupled Pile-to-Pile Interaction,” Computers and Geotechnics, 117. https://doi.org/10.1016/j.compgeo.2019.103276

  • Maeso O, Aznárez JJ and García F (2005), “Dynamic Impedances of Piles and Groups of Piles in Saturated Soils,” Computers & structures, 83(10–11): 769–782.

    Article  Google Scholar 

  • Manna B and Baidya DK (2009), “Vertical Vibration of Full-Scale Pile—Analytical and Experimental Study,” Journal of Geotechnical and Environmental Engineering, 135(10): 1452–1461.

    Article  Google Scholar 

  • Militano G and Rajapakse R (1999), “Dynamic Response of a Pile in a Multi-Layered Soil to Transient Torsional and Axial Loading,” Géotechnique, 49(1): 91–109.

    Article  Google Scholar 

  • Nogami T and Novak M (1976), “Soil-Pile Interaction in Vertical Vibration,” Earthquake Engineering & Structural Dynamics, 4(3): 277–293.

    Article  Google Scholar 

  • Peng Y, Liu HL, Li C, Ding XM, Deng X and Wang CY (2021), “The Detailed Particle Breakage Around the Pile in Coral Sand,” Acta Geotechnica, doi:https://doi.org/10.1007/s11440-020-01089-2.

  • Qu LM, Ding XM, Kouroussis G and Zheng CJ (2021), “Dynamic Interaction of Soil and End-Bearing Piles in Sloping Ground: Numerical Simulation and Analytical Solution,” Computer and Geotechnics. https://doi.org/10.1016/j.compgeo.2020.103917

  • Qu LM, Ding XM, Wu CR, Long YH and Yang JC (2020), “Effects of Topography on Dynamic Responses of Single Piles Under Vertical Cyclic Loading,” Journal of Mountain Science, 17(1): 230–243.

    Article  Google Scholar 

  • Qu LM, Ding XM, Zheng CJ and Liu HL (2017), “An Analytical Solution for Wave Propagation in a Square Pile Due to Transient Point Load,” Computers and Geotechnics, 83: 77–82.

    Article  Google Scholar 

  • Saha R, Haldar S and Dutta SC (2015), “Influence of Dynamic Soil-Pile Raft-Structure Interaction: An Experimental Approach,” Earthquake Engineering and Engineering Vibration, 14(4): 625–645.

    Article  Google Scholar 

  • Shadlou M, Bhattacharya S (2014), “Dynamic Stiffness of Pile in a Layered Elastic Continuum,” Géotechnique, 64(4): 303–319.

    Article  Google Scholar 

  • Takemiya H and Yamada Y (1981), “Layered Soil-Pile-Structure Dynamic Interaction,” Earthquake Engineering & Structural Dynamics, 9(5): 437–457.

    Article  Google Scholar 

  • Tian XJ, Hu WT and Gong XN (2015), “Longitudinal Dynamic Response of Pile Foundation in a Nonuniform Initial Strain Field,” KSCE Journal of Civil Engineering, 19(6): 1656–1666.

    Article  Google Scholar 

  • Tripe R, Kontoe S and Wong TKC (2013), “Slope Topography Effects on Ground Motion in the Presence of Deep Soil Layers,” Soil Dynamics and Earthquake Engineering, 50: 72–84.

    Article  Google Scholar 

  • Ullah, MS, Yamamoto H, Goit CS and Saitoh M (2018), “On the Verification of Superposition Method of Kinematic Interaction and Inertial Interaction in Dynamic Response Analysis of Soil-Pile-Structure Systems,” Soil Dynamics and Earthquake Engineering, 113: 522–533.

    Article  Google Scholar 

  • Wang N, Wang KH and WB Wu (2013), “Analytical Model of Vertical Vibrations in Piles for Different Tip Boundary Conditions: Parametric Study and Applications,” Journal of Zhejiang University Science A, 14(2): 79–93.

    Article  Google Scholar 

  • Wu WB, Liu HLMH, El Naggar, Mei GX and Jiang GS (2016), “Torsional Dynamic Response of a Pile Embedded in Layered Soil based on the Fictitious Soil Pile Model,” Computers and Geotechnics, 80: 190–198.

    Article  Google Scholar 

  • Yang DY, Wang KH, Zhang ZQ and Leo CJ (2009), “Vertical Dynamic Response of Pile in a Radially Heterogeneous Soil Layer,” International Journal for Numerical and Analytical Methods in Geomechanics, 33(8): 1039–1054.

    Article  Google Scholar 

  • Yang S, Ren X and Zhang J (2011), “Study on Embedded Length of Piles for Slope Reinforced with One Row Of Piles,” Journal of Rock Mechanics and Geotechnical Engineering, 3(2): 167–178.

    Article  Google Scholar 

  • Zhao H, Yin PB and Li XB (2015), “Mechanical Response of Bridge Piles in High-Steep Slopes and Sensitivity Study,” Journal of Central South University, 22(10): 4043–4048.

    Article  Google Scholar 

  • Zheng C, Ding XM, Li P and Fu Q (2015), “Vertical Impedance of an End-Bearing Pile in Viscoelastic Soil,” International Journal for Numerical and Analytical Methods in Geomechanics, 39(6): 676–684.

    Article  Google Scholar 

Download references

Acknowledgement

This work was supported by the National Science Foundation of China (51622803, 51778092), Innovation Group Science Foundation of the Natural Science Foundation of Chongqing, China under Grant No. cstc2020jcyj-cxttX0003, and China Scholarship Council (File No.: 201806050121) for financial support to visit Purdue University.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ding Xuanming.

Additional information

Supported by

National Science Foundation of China under Grant Nos. 51622803 and 51778092, Innovation Group Science Foundation of the Natural Science Foundation of Chongqing, China under Grant No. cstc2020jcyj-cxttX0003, and China Scholarship Council (File No: 201806050121) for financial support to visit Purdue University

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liming, Q., Xuanming, D., Changjie, Z. et al. Numerical and test study on vertical vibration characteristics of pile group in slope soil topography. Earthq. Eng. Eng. Vib. 20, 377–390 (2021). https://doi.org/10.1007/s11803-021-2026-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11803-021-2026-7

Keywords

Navigation