Acta Mechanica Solida Sinica

, Volume 30, Issue 6, pp 668–673 | Cite as

Dynamic response of a pile embedded in elastic half space subjected to harmonic vertical loading

  • Changjie Zheng
  • Shishun Gan
  • Xuanming Ding
  • Lubao Luan


An analytical method is developed to investigate the dynamic response of a pile subjected to harmonic vertical loading. The pile is modeled as a one-dimensional (1D) elastic rod. The elastic soil is divided into a homogeneous half space underlying the base of pile and a series of infinitesimally thin layers along the vertical shaft of pile. The analytical solution for the soil-pile dynamic interaction problem is obtained by the method of Hankel transformation. The proposed solution is compared with the classical plane strain solution. Arithmetical examples are presented to demonstrate the sensitivity of the vertical impedance of the pile to relevant parameters.


Pile Dynamic response Vertical loading 


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2017

Authors and Affiliations

  • Changjie Zheng
    • 1
    • 2
  • Shishun Gan
    • 1
    • 2
  • Xuanming Ding
    • 1
    • 2
  • Lubao Luan
    • 1
    • 2
  1. 1.Key Laboratory of New Technology for Construction of Cities in Mountain Area (Chongqing University)Ministry of EducationChongqingChina
  2. 2.School of Civil EngineeringChongqing UniversityChongqingChina

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