Abstract
An efficient semi analytical-numerical methodology is presented for modeling pile dynamics. The medium is assumed to be a transversely isotropic infinite domain. In this paper, the mechanical state of stress and displacement fields arising from the coupling of wave propagation and the various pile effects for vertical cross sections of piles is solved analytically by utilizing the Boussinesq solution. The effective pile stiffness is obtained by finite element assembly of the displacement and force vectors due to wave propagation solution obtained at vertical pile cross sections and the resulting dynamic system is solved using the finite element method (FEM) in the frequency domain. A few numerical examples demonstrating various factors affecting the response of the pile system are presentenced. The present model predicts the pile dynamics problems accurately and efficiently for linear elastic mediums.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Apsel, R.J., Luco, J.E.: On the Green’s functions for a layered half space. part II. Bull. Seism. Soc. Am. 73(4), 931–951 (1983)
Buchwald, V.: Rayleigh waves in transversely isotropic media. Quart J. Mech. Appl. Math. 14(3), 293–318 (1961)
Chen, L., Polous, J.: Analysis of pile-soil interaction under lateral loading using infinite and finite elements. Comput. Geotech. 15(4), 189–220 (1993)
Kashtalyan, M., Rushchitsky, J.J.: Revisiting displacement functions in three-dimensional elasticity of inhomogeneous media. Int. J. Solids Struct. 46, 3463–3470 (2009)
Khodar, R., Abdel-Mohti, A.: Numerical analysis of pile-soil interaction under axial and lateral loads. Int. J. Concr. Struct. Mater. 8(3), 239–249 (2014)
Kukukarsalan, S., Banerjie, P.: Inelastic analysis of pile-soil interaction. J. Geotech. Geoenviron. Eng. 130(11), 1152–1157 (2004)
Liu, W., Novak, M.: Dynamic response of single piles embedded in transversely isotropic layered media. Earthq. Eng. Struct. Dynam. 73(4), 931–951 (1994)
Padron, L.A., Aznarez, J., Maeso, M.: BEM–FEM coupling model for the dynamic analysis of piles and pile groups. Eng. Anal. Boundary Elem. 31(16), 473–484 (2007)
Synge, J.: Elastic waves in anisotropic media. J. Math. Phys. 35(35), 323–334 (1957)
Waas, G., Riggs, H., Werkle, H.: Displacement solutions for dynamic loads in transversely isotropic stratified media. Earthq. Eng. Struct. Dynam. 13(2), 173–193 (1985)
Wang, C.D., Pan, E., Tzeng, C.S., Han, F., Liao, J.J.: Displacements and stresses due to a uniform vertical circular load in an inhomogeneous cross-anisotropic half-space. Int. J. Geomech. 6(1), 1–10 (2006)
Yaghmaie, R., Noorzad, A.: 3D dynamic soil-foundations interactions in a transversely isotropic medium-impedance characteristics. In: Engineering Mechanics Institute Conference, University of Southern California, Los Angeles, CA., USA, 8–11 Aug 2010. https://doi.org/10.13140/rg.2.1.1988.0803
Yaghmaie, R., Guo, S., Ghosh, S.: Simulating coupled transient electromagnetic-large deformation dynamical mechanical systems using a novel multi-time scaling method. In: Engineering Mechanics Institute Conference, Northwestern University, Evanston, IL, USA, 4–7 Aug 2013. https://doi.org/10.13140/rg.2.1.4744.3041
Yaghmaie, R., Guo, S., Ghosh, S.: Wavelet transformation based multi-time scaling method for FE simulations of coupled transient electromagnetic nonlinear dynamical systems. In: 17th US National Congress on Theoretical and Applied Mechanics, Michigan State University, East Lansing, MI, USA. 15–20 June 2014. https://doi.org/10.13140/rg.2.1.4744.3041
Yaghmaie, R., Ghosh, S.: Wavelet transformation induced multi-time scaling (WATMUS) model for coupled transient electro-magnetic and structural dynamics finite element analysis. In: 13th U.S. National Congress on Computational Mechanics, San Diego, CA, USA, 27–30 July 2015
Yaghmaie, R., Asgari, H.: Dynamic Reissner-Sagoci problem for a transversely-isotropic bi-material half-space. In: Fourth Geo-China International Conference, Shandong, China, 25–27 July 2016, pp. 17–24 (2016a). https://doi.org/10.1061/9780784480069
Yaghmaie, R., Asgari, H.: The elastodynamic interaction of a rigid circular foundation embedded in a functionally graded transversely isotropic half-space. In: Fourth Geo-China International Conference, Shandong, China, 25–27 July 2016, pp. 57–64 (2016b). https://doi.org/10.1061/9780784480021
Yaghmaie, R., Asgari, H.: Axisymmetric vibration of an elastic circular plate in an inhomogeneous half-space. In: Fourth Geo-China International Conference, Shandong, China, 25–27 July 2016, pp. 65–72 (2016c). https://doi.org/10.1061/9780784480021
Yaghmaie, R., Guo, S., Ghosh, S.: Multi‐time scale coupled transient electro‐magnetic and structural dynamics finite element analysis for antenna simulations. In: Engineering Mechanics Institute and Probabilistic Mechanics and Reliability Conference, Vanderbilt University, Nashville, TN, USA. 22–25 May 2016
Yaghmaie, R., Guo, S., Ghosh, S.: Wavelet transformation induced multi-time scaling (WATMUS) model for coupled transient electro-magnetic and structural dynamics finite element analysis. Comput. Methods Appl. Mech. Eng. 303, 341–373 (2016). https://doi.org/10.1016/j.cma.2016.01.016
Yaghmaie, R., Ghosh, S.: Multi-time scaling based modeling of transient electro-magnetic fields in vibrating media with antenna applications. Comput. Mech. 60(1), 117–141 (2017). https://doi.org/10.1007/s00466-017-1396-1
Yaghmaie, R., Ghosh, S.: Computational modeling of finite deformation piezoelectric material behavior coupling transient electrical and mechanical fields. J. Comput. Phys. (2018a, in press)
Yaghmaie, R., Ghosh, S.: Two scale wavelet transformation based multi-time scale (WATMUS) method for simulating coupled transient electro-mechanical fields with evolving damage. In: 18th US National Congress on Theoretical and Applied Mechanics, Northwestern University, Evanston, IL, USA. 9–4 June 2018b
Yaghmaie, R., Ghosh, S.: 2-scale multi-time scale computational framework for simulating finite strain transient piezoelectricity with evolving damage (2018c, in press)
Yaghmaie, R., Ghosh, S.: Multi-time scale simulations of coupled transient electro-mechanical fields for modeling finite strain piezoelectricity. In: Engineering Mechanics Institute Conference, Massachusetts Institute of Technology, Cambridge, MA, USA. May 29–June 1, 2018d
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer International Publishing AG, part of Springer Nature
About this paper
Cite this paper
Yaghmaie, R. (2019). A Novel Finite Element Model for Modeling Pile Dynamics. In: Khabbaz, H., Youn, H., Bouassida, M. (eds) New Prospects in Geotechnical Engineering Aspects of Civil Infrastructures. GeoChina 2018. Sustainable Civil Infrastructures. Springer, Cham. https://doi.org/10.1007/978-3-319-95771-5_17
Download citation
DOI: https://doi.org/10.1007/978-3-319-95771-5_17
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-95770-8
Online ISBN: 978-3-319-95771-5
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)