Study on the Lateral Dynamic Impedance of Pile Groups in Transversely Isotropic Soil Using Novak’s Plane Model
Open Access
- 16 March 2023
- journal article
- research article
- Published by Hindawi Limited in Journal of Applied Mathematics
- Vol. 2023, 1-13
- https://doi.org/10.1155/2023/9132285
Abstract
In order to consider the effect of anisotropy of soil around the pile on the lateral vibration of pile groups, the soil around the pile is regarded as a transversely isotropic medium, and a lateral dynamic interaction model of pile-pile in transversely isotropic soil is established. According to Novak’s plane assumption and wave propagation theory, the lateral vibration of transversely isotropic soil layer is solved by introducing potential function and using mathematical and physical means, and the attenuation function of lateral displacement of free field is given. The Dobry and Dazetas simplified solution of attenuation function is different from that of solution of plane model. The pile-pile horizontal dynamic interaction factor in transversely isotropic soil is obtained by using the initial parameter method and Krylov function. The horizontal dynamic impedance of pile groups is obtained by using the pile-pile superposition principle. The change rule of the lateral displacement attenuation function of transversely isotropic soil with frequency is related to the direction and frequency. The ratio of the shear modulus in the lateral plane to the shear modulus in the vertical plane and the pile spacing have a great impact on the lateral vibration of pile groups, and when the pile spacing is large, the curves of attenuation function varying with frequency fluctuate greatly. The ratio of elastic modulus of pile to vertical plane shear modulus of soil <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" width="13.622pt" style="vertical-align:-5.47417pt" height="14.7625pt" version="1.1"...Keywords
Funding Information
- Key Scientific Research Project of Colleges and Universities in Henan Province (23B560001, U1504505)
This publication has 28 references indexed in Scilit:
- Dynamic impedances of piles and groups of piles in saturated soilsComputers & Structures, 2005
- Soil–pile–structure interaction under SH wave excitationEarthquake Engineering & Structural Dynamics, 2003
- Nonlinear lateral interaction in pile dynamicsSoil Dynamics and Earthquake Engineering, 1995
- Dynamic pile‐soil‐pile interaction. Part II: Lateral and seismic responseEarthquake Engineering & Structural Dynamics, 1992
- Dynamic pile‐soil‐pile interaction. Part I: Analysis of axial vibrationEarthquake Engineering & Structural Dynamics, 1991
- Dynamic analysis of piles and pile groups embedded in homogeneous soilsEarthquake Engineering & Structural Dynamics, 1985
- Soil‐pile interaction in horizontal vibrationEarthquake Engineering & Structural Dynamics, 1977
- Soil‐pile interaction in vertical vibrationEarthquake Engineering & Structural Dynamics, 1976
- Dynamic Stiffness and Damping of PilesCanadian Geotechnical Journal, 1974
- Torsional and coupled vibrations of embedded footingsEarthquake Engineering & Structural Dynamics, 1973