Vertical vibration of a large diameter pile with transversal inertia effect in saturated soil

GONG Zhi-chao, YANG Dong-ying

Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (2) : 163-168.

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PDF(1681 KB)
Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (2) : 163-168.

Vertical vibration of a large diameter pile with transversal inertia effect in saturated soil

  • GONG Zhi-chao, YANG Dong-ying
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Abstract

Based on the saturated porous medium theory, vertical vibration of a large diameter pile with transversal inertia effect in homogeneous saturated soil was studied. Firstly, the complex stiffness of surrounding soil was obtained with Novak’s thin layer theory and the saturated porous medium theory. According to the continuous contact condition between the pile and surrounding soil, considering the pile’s transversal inertia effect, the large diameter pile was equivalent to a Rayleigh-Love rod, the coupled dynamic equations of the large diameter pile and soil were established. The analytical solutions to the impedance function and admittance function at the top of the pile were derived by solving the coupled dynamic equations of the large diameter pile and soil with Laplace transformation. Then, the semi analytical solution to the velocity response at the top of the pile in time domain was deduced with the convolution theorem and the inverse Fourier transformation. Finally, the influences of relevant parameters of the pile and saturated soil on the response function in frequency domain and that in time domain at the top of the pile were analyzed, and the influences of relevant parameters on the complex stiffness at the top of the pile within a lower frequency range were also analyzed. The results provided a new theoretical basis for dynamic detecting of piles in saturated soil.

 

Key words

 transversal inertia effect / dynamic response of pile / Laplace transformation / saturated porous medium / large diameter pile

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GONG Zhi-chao, YANG Dong-ying. Vertical vibration of a large diameter pile with transversal inertia effect in saturated soil[J]. Journal of Vibration and Shock, 2018, 37(2): 163-168

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