Vertical vibration of piles in viscoelastic non-uniform soil overlying a rigid base

  • Shishun Gan
  • Changjie ZhengEmail author
  • George Kouretzis
  • Xuanming Ding
Short Communication


This paper presents an analytical methodology that provides the dynamic response of an elastic pile embedded in viscoelastic non-uniform soil overlying a rigid base, when subjected to a harmonic vertical load. The non-uniform soil comprises two parts, featuring independent properties: the substratum soil, below the pile toe, is represented by a viscoelastic layer of finite thickness resting on rigid bedrock, while the soil surrounding the pile shaft is modelled as a series of infinitesimally thin independent viscoelastic layers. Following validation of the methodology, where we show that the presented solution degenerates to published solutions for simpler pile embedment conditions, we use results of a parametric investigation to discuss the mechanisms governing the dynamic response of the non-uniform soil–pile system. The presented solution allows modelling realistically the contribution of end-bearing resistance to vertical vibrations of piles in cases of practical interest when non-linearity effects can be effectively ignored.


Dynamic impedance Piles Soil–structure interaction 



This work was supported by the National Natural Science Foundation of China (No. 51708064 and 51622803) and the Fundamental Research Funds for the Central Universities (No. 106112017CDJXY200002 and No. 106112016CDJXZ208821).


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Shishun Gan
    • 1
    • 2
    • 3
  • Changjie Zheng
    • 1
    • 2
    • 3
    Email author
  • George Kouretzis
    • 4
  • Xuanming Ding
    • 3
  1. 1.School of Civil EngineeringFujian University of TechnologyFuzhouChina
  2. 2.Fujian Provincial Key Laboratory of Advanced Technology and Informatization in Civil EngineeringFuzhouChina
  3. 3.Key Laboratory of New Technology for Construction of Cities in Mountain Area, College of Civil EngineeringChongqingChina
  4. 4.Priority Research Centre for Geotechnical Science and Engineering, Faculty of Engineering and Built EnvironmentThe University of NewcastleCallaghanAustralia

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