Dynamic response of a pile embedded in elastic half space subjected to harmonic vertical loading
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.
KeywordsPile Dynamic response Vertical loading
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- 6.M. Novak, Vibration of floating pile, J. Eng. Mech. Div. ASCE 103 (1) (1977) 153–168.Google Scholar
- 7.M. Novak, T. Nogami, F. Aboul-Ella, Dynamic soil reactions for plane strain case, J. Eng. Mech. Div. ASCE 104 (4) (1978) 953–959.Google Scholar
- 15.R.E.D. Bishop, D.C. Johnson, The Mechanics of Vibration, Cambridge University Press, England, 1979.Google Scholar
- 17.B. Nobel, The solution of Bessel-function dual integral equations by a multiplying-factor method, in: Mathematical Proceedings of the Cambridge Philosophical Society, vol. 59, 1963, pp. 351–362.Google Scholar