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A continuum-based model on axial pile-head dynamic impedance in inhomogeneous soil

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Abstract

This paper presents a closed-form solution on the steady dynamic response of circular piles embedded in inhomogeneous soil. The soil is modeled as a viscoelastic continuum, and the pile is modeled as a one-dimensional elastic shaft. Fictitious soil pile model and Hamilton’s energy principle are introduced to deduce the equations governing the layered pile–soil system. Impedance transfer method and iterative algorithm are deduced to decouple the pile–soil dynamic interaction. The results show that the modulus and thickness of inhomogeneous soil profile play a more significant role in the dynamic stiffness than the damping effects. The variation pattern of the dynamic impedance against the modulus of layered soil is dominated by the cut-off frequency. Particularly, in Gibson soil, the stiffer surface soil yields the greater pile-head stiffness. The dynamic stiffness of piles in Gibson soil could be approximated by two or more soil layers with equivalent Young’s modulus.

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Acknowledgements

This research was financially supported by National Natural Science Foundation Project (No: 52078426); National Key Research and Development Plan (No. 2018YFE0207100); 2018 Sichuan province Ten thousand people plan.

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Authors and Affiliations

  1. MOE Key Laboratory of High-Speed Railway Engineering, College of Civil Engineering, Southwest Jiaotong University, Chengdu, 610031, China

    Liming Qu & Changwei Yang

  2. Key Laboratory of New Technology for Construction of Cities in Mountain Area, College of Civil Engineering, Chongqing University, Chongqing, 400045, China

    Xuanming Ding

  3. Department of Theoretical Mechanics, Dynamics and Vibrations, Faculty of Engineering, Université de Mons, Mons, Belgium

    Georges Kouroussis

  4. School of Civil Engineering, Fujian University of Technology, Fuzhou, 350118, China

    Changjie Zheng

  5. Fujian Provincial Key Laboratory of Advanced Technology and Informatization in Civil Engineering, Fuzhou, 350118, China

    Changjie Zheng

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  1. Liming Qu
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  2. Changwei Yang
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  3. Xuanming Ding
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  4. Georges Kouroussis
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  5. Changjie Zheng
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Correspondence to Changwei Yang.

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Qu, L., Yang, C., Ding, X. et al. A continuum-based model on axial pile-head dynamic impedance in inhomogeneous soil. Acta Geotech. 16, 3339–3353 (2021). https://doi.org/10.1007/s11440-021-01274-x

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  • DOI: https://doi.org/10.1007/s11440-021-01274-x

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