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Magnification Effect of the Action of Seismic Wave at the Head of a Single Pile in FDV Soil Foundation
YU Huan-xin
2012, 32 (2):
45-48.
DOI: 10.3969/j.issn.1006-1355-2012.02.011
A model for analyzing the magnification effect of the action of seismic wave at the head of a single pile in soil foundation was established. The soil foundation on bedrock was regarded as a viscoelastic medium with the constitutive relation of fractional derivative viscoelasticity (FDV). The horizontal displacements of the FDV soil foundation under the action of SH harmonic seismic wave were obtained by employing the orthogonality of trigonometric functions and the boundary conditions of the soil foundation. Considering a single pile of circular sections with its end supported on the bedrock, the interaction between the pile and the soil foundations was represented by a series of equivalent dynamic Winkler spring-damper elements. On the basis of Novak plane assumptions, the radial and circumferential displacements of the FDV soil were determined, and then the coefficients of stiffness and damping of the Winkler spring-damper elements were obtained. Furthermore, the lateral vibration of the single pile in FDV soil under SH harmonic seismic wave was solved, and the magnification factor at the head of the single pile in the FDV soil was obtained. The results indicate that the order of fractional derivative and model parameters of the soil foundation has a great effect on the resonance of single pile in FDV soil under the action of the SH harmonic seismic wave, while the density ratio and modulus ratio of pile to soil have very small influence on the magnification factor at lower frequencies, and have some effect at higher frequencies.
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