Skip to main content
SpringerLink
Log in

Dynamic Response of Pile Reinforced Soils and Piled Foundations

  • Original paper
  • Published:
Geotechnical and Geological Engineering Aims and scope Submit manuscript

Abstract

The rigid-pile soil-improvement technique aims to increase the bearing capacity of the soil and decrease the settlement of the surface structure. The most remarkable difference of this technique from the deep-foundation system is the soil layer between the pile heads and the structure. This soil layer, called the mattress, is made of compacted granular materials and participates in the load transfer through arching and shear mechanisms. In order to understand the dynamic behavior of rigid-pile reinforced soils, tri-dimensional finite-element analyses of a soil-pile-slab system, a soil-pile-mattress-slab system, and a soil-pile-mattress-embankment system are presented in this paper. Different geometric configurations are studied in terms of dynamic impedances. The soil, piles, mattress, and embankment are represented as continuum solids, and the slab is represented by structural plate-type elements. The horizontal and vertical impedances of pile foundations are presented and the results are compared with studies in the literature. This study shows the influence of the mattress stiffness, the geometrical configuration, and head/tip fixity conditions on the dynamic response of the foundation system. A comparison between rigid piles and pile foundations is then presented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19

Similar content being viewed by others

Abbreviations

[M]:

Mass matrix

[C]:

Damping matrix

[K]:

Stiffness matrix

[K d ]:

Dynamic-stiffness matrix

[K ij (ω)]:

Dynamic-impedance matrix

[K s ]:

Static stiffness

cij :

Damping coefficients

a o :

Dimensionless frequency

ω :

Driving frequency

d:

Diameter of pile

L:

Length of pile

S:

Distance between the axis of the pile (axis to axis distance)

P r :

Vector of loading at the boundary of the model

P * f :

Vector of forces (moments) caused by the movement of the free field

P f :

Vector of forces (moments) derived from the inertial effect of the superstructure

P b :

Vector of forces (moments) of the superstructure

P :

Vector of the forces applied to the soil-structure system

U :

Resulting displacement from the soil-structure system

U b :

Resulting displacement from the superstructure

U f :

Resulting displacement in the soil-foundation interface

\(U_{f}^{*}\) :

Resulting displacement from the movement of the free field

Kzz :

Vertical dynamic impedance

Δ Z :

Vertical displacement

Kxx :

Horizontal dynamic impedance

Δ X :

Horizontal displacement

\(\left| {U/F} \right|,\,\left| {u_{0} } \right.\) :

Amplitudes of displacement

F:

Force amplitude

Hss :

Height of the soft soil

Hrs :

Height of the embankment

References

  • Aubry D, Clouteau D (1992) A subdomain approach to dynamic soil-structure interaction. Earthquake engineering and structural dynamics. Ouest editions/AFPS, Nantes, pp 251–272

    Google Scholar 

  • Beskos DE (1997) 1986–1996 Boundary element methods in dynamic analysis: part II. Appl Mech Rev 50:149–197

    Article  Google Scholar 

  • Coda HB, Venturini WS (1999) On the coupling of 3D BEM and FEM frame model applied to elastodynamic analysis. Int J Solids Struct 36:4789–4804

    Article  Google Scholar 

  • Coda HB, Venturini WS, Aliabadi MH (1999) A general 3D BEM/FEM coupling applied to elastodynamic continua/frame structures interaction analysis. Int J Numer Method Eng 46:695–712

    Article  Google Scholar 

  • CODE-ASTER, http://www.code-aster.org/utilisation/non-french.ph.pNon-FrenchCode_AsterResources

  • Emani PK, Maheshwari BK (2009) Dynamic impedances of pile groups with embedded slabs in homogeneous elastic soils using CIFECM. Soil Dyn Earthq Eng 29:963–973

    Article  Google Scholar 

  • Hatem A (2009) Comportement en zone sismique des piles rigides, analyse de l’interaction sol-pile-matelas en répartition de structure. Doctoral thesis, Université des Sciences et Technologies de Lille

  • Hejazi Y, Dias D, Kastner R (2008) Impact of constitutive models on the numerical analysis of underground constructions. Acta Geotech 3(4):251–258

    Article  Google Scholar 

  • Kattis SE, Polyzos D, Beskos DE (1999a) Vibration isolation by a row of piles using a 3-D frequency domain BEM. Int J Numer Method Eng 46:713–728

    Article  Google Scholar 

  • Kattis SE, Polyzos D, Beskos DE (1999b) Modelling of pile wave barriers by effective trenches and their screening effectiveness. Soil Dyn Earthq Eng 18:1–10

    Article  Google Scholar 

  • Kausel E, Whitman RV, Morray JP, Elsabee F (1978) The spring method for embedded foundations. Nucl Eng Des 48:377–392

    Article  Google Scholar 

  • Kaynia AM (1982) Dynamic stiffness and seismic response of pile groups. Research report R82-03, Order No. 718, Cambridge

  • Kaynia AM, Kausel E (1991) Dynamics of piles and pile groups in layered soils. Soil Dyn Earthq Eng 10(8):386–401

    Article  Google Scholar 

  • Kuhlemeyer RL, Lysmer J (1973) Finite element method accuracy for wave propagation problems. J Soil Mech Found Div ASCE 99(SM5):421–427

    Google Scholar 

  • Maeso O, Aznarez JJ, Garcia F (2005) Dynamic impedances of piles and groups of piles in saturated soils. Comput Struct 83:769–782

    Article  Google Scholar 

  • Mamoon SM, Kaynia AM, Banerjee PK (1990) Frequency domain dynamic analysis of piles and pile groups. J Eng Mech ASCE 116(10):2237–2257

    Article  Google Scholar 

  • Okyay US (2010) Etude expérimentale et numérique des transferts de charge dans un massif renforcé par inclusions rigides: application à des cas de chargements statiques et dynamiques. Doctoral thesis, Université Lyon 1

  • Okyay US, Dias D, Billion P (2012) Impedance functions of flab foundations with rigid piles. Geotech Geol Eng 30(4):1013–1024

    Article  Google Scholar 

  • Padron LA, Aznarez JJ, Maeso O (2007) BEM–FEM coupling model for the dynamic analysis of piles and pile groups. Eng Anal Bound Elem 31:473–484

    Article  Google Scholar 

  • Pecker A (1984) Dynamique des sols. Presses de l’Ecole Nationale des Ponts et Chaussées

  • Pradhan PK, Baidya DK, Ghosh DP (2004) Vertical Dynamic response of foundation resting on a soil layer over rigid rock using Cone Model. J Inst Eng 85:179–185

    Google Scholar 

  • Vinciprova F, Aznarez JJ, Maeso O, Oliveto G (2003) Interaction of BEM analysis and experimental testing on pile–soil systems. In: Davini C, Viola E (eds) Problems in structural identification and diagnostic: general aspects and applications. Springer, Berlin, pp 195–227

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. LGCE University of Jijel, BP 98, Jijel, 18000, Ouled Aissa, Algeria

    Salah Messioud

  2. Entreprise PINTO Fougères, Fougères, France

    Umur Salih Okyay

  3. Department of Civil Engineering, Univ Annaba, 21000, Skikda, Algeria

    Badreddine Sbartai

  4. LMGHU Laboratory, Univ Skikda, 21000, Skikda, Algeria

    Badreddine Sbartai

  5. 3SR Laboratory, Grenoble Alpes University, Grenoble, France

    Daniel Dias

Authors
  1. Salah Messioud
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Umur Salih Okyay
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Badreddine Sbartai
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Daniel Dias
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Daniel Dias.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Messioud, S., Okyay, U.S., Sbartai, B. et al. Dynamic Response of Pile Reinforced Soils and Piled Foundations. Geotech Geol Eng 34, 789–805 (2016). https://doi.org/10.1007/s10706-016-0003-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10706-016-0003-0

Keywords

Search

Navigation