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| Study on longitudinal vibration of pile with variable sections in the viscous damping soil and its applications |
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| DOI：10.7511/jslx20086151 |
| KeyWord:axisymmetric wave effect,pile with variable sections,longitudinal vibration,Laplace transforms,potentials,impedance function,convolution theorem,inverse Fourier transform,semi-sine exciting force,mobility curves,reflection wave curves |
| QUE Ren-bo1 2 WANG Kui-hua2 XU Rui-ping1 |
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| Abstract: |
| Modeling soil as an axisymmetric continuum and taking its axisymmetric wave effect into account,longitudinal vibration of pile with variable sections undergoing arbitrary load is theoretically investigated.The pile is assumed to be vertical,elastic and of variable sections,and the soil is a linear visco-elastic layer with viscous damping.With Laplace transforms,the question can be solved in Laplace domain.With the aid of two potentials in conjunction with impedance transmit functions,an analytical solution for the impedance function in Laplace domain is yielded,so are the corresponding analytical solutions for the impedance function and mobility at the level of the pile head in frequency domain.With 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 derived.Based on the solutions proposed herein,the influence on mobility curves and reflection wave curves caused by variety of sections are emphatically discussed.Some important conclusions are drawn. |
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