Abstract
In this paper, the transient analysis of a single pile and a 3 × 3 pile group is presented for Gibson type non-homogeneous soil by using a hybrid type of boundary and finite element formulation for the soil domain and pile domain, respectively. The formula is presented for a transient point force acting in the interior of a non-homogeneous, isotropic half space. A time stepping boundary element algorithm for soil domain is used together with an implicit time integration scheme for finite pile domain. To investigate the validity of this formulation, a single pile and a pile group are analyzed under Heaviside loading and triangular transient loading. In the analyses, it can be concluded that the results agree well for all cases of the inhomogeneity index by comparing the Laplace domain solutions.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Kaynia, A.M., Kausel, E.: Dynamic stiffness and seismic response of pile groups. Technical Report R82–03, Massachusetts Institute of Technology, Cambridge (1982)
Apsel, R.: Dynamic Green’s functions for layered media and application to boundary value problems. PhD Dissertation, University of California, San Diego (1979)
Guin, J.: Advanced soil pile structure interaction and nonlinear behavior. PhD Dissertation, State University of New York, Buffalo
Poulos H.G. (1979). Settlement of single piles in non-homogeneous soils. ASCE J. Geo. Eng. 105(5): 627–641
Mindlin R.D. (1936). Force at a point in the interior of a semi-infinite solid. Physics 7: 195–202
Banerjee P.K. and Davies T.C. (1978). The behavior of axially and laterally loaded piles embedded in non-homogeneous soils. Geotechnique 28(3): 309–326
Randolph M.F. (1981). The response of flexible piles to lateral loading. Geotechnique 31(2): 247–259
Randolph M.F. and Wroth C.P. (1978). Analysis of deformation of vertically loaded piles. ASCE J. Geo. Eng. 104(12): 1465–1488
Sen R., Kausel E. and Banerjee P.K. (1985). Dynamic analysis of piles and pile groups embedded in non-homogeneous soils. Int. J. Numer. Anal. Methods Geomech. 9: 507–524
Küçükarslan, S.: Linear and nonlinear soil–pile-structure interaction under static and transient impact loading. PhD Dissertation, State University of New York, Buffalo (1999)
Nogami T. and Konagai K. (1986). Time domain axial response of dynamically loaded single piles. ASCE J. Eng. Mech. 112(11): 1241–1252
Nogami T. and Konagai K. (1988). Time domain flexural response of dynamically loaded single piles. ASCE J. Eng. Mech. 114(9): 1512–1525
Banerjee P.K. and Mamoon S.M. (1990). A fundamental solution due to a periodic point force in the interior of an elastic half apace. Earthq. Eng. Struct. Dyn. 19(1): 91–105
Mamoon S.M. and Banerjee P.K. (1992). Time domain analysis of dynamically loaded single piles. ASCE J. Eng. Mech. 118(1): 140–160
Mattes N.S. and Poulos H.G. (1969). Settlement of single compressible pile. ASCE JSMFD 95(SM1): 189–207
Poulos H.G. and Davis E.H. (1980). Pile Foundation Analysis and Design. Wiley, New York
Bathe K.J. (1993). Finite Element Procedures in Engineering Analysis. Englewood Cliffs, Prentice-Hall
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Küçükarslan, S. Transient analysis of piles and pile groups in non-homogeneous soil. Arch Appl Mech 78, 21–31 (2008). https://doi.org/10.1007/s00419-007-0136-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00419-007-0136-y