Interaction Model for Torsional Dynamic Response of Thin-Wall Pipe Piles Embedded in Both Vertically and Radially Inhomogeneous Soil
Publication: International Journal of Geomechanics
Volume 21, Issue 10
Abstract
The inhomogeneity of soil is a ubiquitous problem for pile foundations due to, for example, pile installation (radial inhomogeneity) or the natural sedimentation of soil (vertical inhomogeneity). Most continuum theory solves soil equations by artificially setting the displacement at the inner soil core as zero, which results in the misestimation of soil shear strength. Although the additional mass model avoids the utilization of artificial boundaries, the internal deformation of soil is overlooked. In this paper, the modified additional mass model is proposed. The capacity of this model is verified through comparison with former studies. Through a comprehensive parametric study, it was found that (1) the inhomogeneity of soil has significant influence on pile stiffness and damping amplitudes, (2) the length and strength of the pile would affect the resonance frequency of the soil–pile system, (3) only the soil within the range of 0.3r1 to the pile shaft has a visible effect on the dynamic response at the pile head.
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Acknowledgments
The authors would like to thank the three reviewers for their constructive comments, which significantly increased the quality of this paper. This research is supported by the National Natural Science Foundation of China (Grant Nos. 51878634 and 51878185), the Outstanding Youth Project of Natural Science Foundation of Zhejiang Province (LR21E080005), the Young Elite Scientists Sponsorship Program by CAST (Grant No. 2018QNRC001), the Fundamental Research Funds for National University, China University of Geosciences (Wuhan) (Grant Nos. 1910491T04 and CUGGC09), China Postdoctoral Science Foundation Funded Project (Grant No. 2020M673093), and the Research Funds provided by MOE Engineering Research Center of Rock-Soil Drilling & Excavation and Protection, Ministry of Education (Grant No. 202012). Dr. Zhang and Dr. Liu were responsible for performing derivation, parametric analysis and organization, and the preparation of figures and the original manuscript. Dr. Wu (W.T.), Dr. Wen, and Dr. Wang conducted the validation and improved the readability of the manuscript. The contributions of Dr. Wu (W.W.B.), Dr. Mei, and Dr. Jiang included project administration and supervision. Dr. Wu (W.W.B.) also provided funding for this study.
Notation
The following symbols are used in this paper:
- material damping coefficient of the k-th inner soil (soil plug) sphere of the s-th pile segment;
- shear modules of the s-th pipe pile segment;
- shear modules of the j-th surrounding soil sphere of the s-th pile segment;
- H
- length of the pipe pile;
- hs
- buried depth of the upper surface of the s-th pile segment;
- polar moment of inertia of the s-th pipe pile segment;
- polar moment of inertia of the k-th inner soil (soil plug) sphere of the s-th pile segment;
- ks,k
- elastic modules of the k-th inner soil (soil plug) sphere of the s-th pile segment;
- ls
- length of the s-th pile segment;
- r1
- outer radii of the pipe pile;
- r2
- inner radii of the pipe pile;
- rs,k
- outer radius of the k-th sphere of the s-th soil–pile segment;
- t
- number of spheres divided in the inner soil;
- tm
- disturbed range of inner soil (soil plug) and surrounding soil;
- y
- number of spheres divided in the surrounding soil;
- material damping coefficient of the s-th pipe pile segment;
- material damping coefficient of the j-th surrounding soil sphere of the s-th pile segment;
- density of the s-th pipe pile segment;
- density of the j-th surrounding soil sphere of the s-th pile segment;
- density of the k-th inner soil (soil plug) sphere of the s-th pile segment;
- twist angle of the s-th pipe pile segment;
- twist angle in the j-th surrounding soil sphere of the s-th pile segment; and
- twist angle in the j-th inner soil (soil plug) sphere of the s-th pile segment.
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Received: Nov 12, 2020
Accepted: Jun 2, 2021
Published online: Jul 29, 2021
Published in print: Oct 1, 2021
Discussion open until: Dec 29, 2021
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