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| Theory of vibration of pile on elastic foundation considering 3D wave effect of soil and its applications |
| Revised:November 24, 2003 |
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| DOI：10.7511/jslx20056128 |
| KeyWord:elastic bottom boundary,hysteretic type damping,potentials,soil-pile interaction,analytical solution in frequency domain,convolution theorem,inverse Fourier transform,semi-analytical solution in time-domain, |
| QUE Ren-bo~ |
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| Abstract: |
| Modeling soil as a 3D axisymmetric continuum and taking its radial and vertical displacement into account,the interaction between a soil layer and a pile with elastic bottom boundary undergoing vertical harmonic load is theoretically investigated.The pile is assumed to be vertical,elastic and of uniform cross-section,and the soil is considered as a linear visco-elastic layer with hysteretic type damping.With the aid of two potentials,the displacement of the soil is decomposed and then the dynamic equilibrium equation of soil layer is uncoupled and solved first.Thus the vibration modes of the soil layer are obtained and used to analyse the response on pile.By considering the interaction between the soil layer and the pile with boundary condition of continuity of displacement and equilibrium of force at their interface,the dynamic equilibrium equation of pile is solved and an analytical solution for the response on pile in frequency domain is obtained,which is used to define the complex stiffness and mobility at the level of the pile head.Based on the convolution theorem and inverse Fourier transform,a semi-analytical solution of velocity response in time-domain subjected to a semi-sine exciting force is given.A parametric study of the effect of these governing dimensionless parameters is conducted to illustrate the behavior of soil-pile interaction.Some new conclusions are drawn. |
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