Effect of Pile Group Configurations on Nonlinear Dynamic Response
Publication: International Journal of Geomechanics
Volume 16, Issue 1
Abstract
A three-dimensional (3D) finite-element program has been developed for the dynamic analysis of pile groups. Soil and pile media have been discretized into 3D isoparametric continuum elements. To simulate the stress transfer between soil and pile under lateral load, surface elements have been introduced at the interface. To avoid the radiation effect due to dynamic loading, it is proposed to use the appropriate boundary conditions with introduction of Kelvin elements at the transmitting boundary. The displacements at each time step are evaluated using the implicit Newmark-beta integration method. In the iterative procedure, stresses at a given Gauss point are first checked and adjusted against a limiting tension criterion, and then these stresses are further checked against a yield criterion. Extra stresses computed during these checks are converted to load vectors that are applied in the next iteration. A parametric study is carried out to consider the effect of pile spacing, number of piles, arrangement of pile, and soil modulus on the response of pile group.
Get full access to this article
View all available purchase options and get full access to this article.
References
Dodagoudar, G. R., Harikumar, A., and Praveen Kumar, R. (2006). “Analysis of laterally loaded single pile with material nonlinear behaviour.” Indian Geotech. J., 36(4), 299–320.
El Naggar, M. H., and Novak, M. (1995). “Nonlinear lateral interaction in pile dynamics.” Soil Dyn. Earthquake Eng., 14(2), 141–157.
Gazetas, G. (1984). “Seismic response of end-bearing single piles.” Soil Dyn. Earthquake Eng., 3(2), 82–93.
Hussien, M. N., Tobita, T., Lai, S., and Rollins, K. M. (2010). “Soil-pile separation effect on the performance of a pile group under static and dynamic lateral loads.” Can. Geotech. J., 47(11), 1234–1246.
Kontoe, S., Zdravkovic, L., Potts, D. M., and Salandy, N. E. (2007). “The use of absorbing boundaries in dynamic analyses of soil-structure interaction problems.” 4th Int. Conf. in Earthquake Geotechnical Engineering, the Technical Committee of Earthquake Geotechnical Engineering (TC4) of the International Society of Soil Mechanics and Geotechnical Engineering (ISSMGE), the Hellenic Scientific Society of Soil Mechanics and Geotechnical Engineering and the Laboratory of Soil Dynamics and Geotechnical Earthquake Engineering of Aristotle University of Thessaloniki, Thessaloniki, Greece.
Lysmer, J., and Kuhlemeyer, R. L. (1969). “Finite dynamic model for infinite media.” J. Eng. Mech. Div. 95(4), 859–877.
Maheshwari, B. K., and Sarkar, R. (2011). “Seismic behavior of soil-pile-structure interaction in liquefiable soils: Parametric study.” Int. J. Geomech., 335–347.
Maheshwari, B. K., Trumana, K. Z., Gould, P. L, and El Naggar, M. H. (2005). “Three-dimensional nonlinear seismic analysis of single piles using finite element model: Effects of plasticity of soil.” Int. J. Geomech., 35–44.
Makris, N., and Gazetas, G. (1992). “Dynamic pile-soil-pile interaction. Part II: Lateral and seismic response.” Earthquake Eng. Struct. Dyn., 21(2), 145–162.
Manna, B., and Baidya, D. K. (2010). “Nonlinear dynamic response of piles under horizontal excitation.” J. Geotech. Geoenviron. Eng., 1600–1609.
Matlock, H., Foo, S. H. C., and Bryant, L. M. (1978). “Simulation of lateral pile behaviour under earthquake motion.” Proc., ASCE Specialty Conf. on Earthquake Engrg. and Soil Dynamics, ASCE Geotechnical Division, Pasadena, CA, 600–619.
Mylonakis, G., and Gazetas, G. (1999). “Lateral vibration and internal forces of grouped piles in layered soil.” J. Geotech. Geoenviron. Eng., 16–25.
Nayak, G. C., and Zienkiewicz, O. C. (1972). “Convenient forms of stress invariants for plasticity.” J. Struct. Div. ASCE, 98(4), 949–954.
Newmark, N. M. (1959). “A method of computation for structural dynamics.” J. Eng. Mech., 85(3), 67–94.
Nogami, T., and Konagai, K. (1988). “Time domain flexural response of dynamically loaded single piles.” J. Eng. Mech., 1512–1225.
Novak, M. (1974). “Dynamic stiffness and damping of pile.” Can. Geotech. J., 11(4), 574–598.
Novak, M., and Mitwally, H. (1988). “Transmitting boundary for axisymmetrical dilation problems.” J. Eng. Mech., 181–187.
Park, D., and Hashash, Y. M. A. (2004). “Soil damping formulation in nonlinear time domain site response analysis.” J. Earthquake Eng., 8(2), 249–274.
Patil, V. A., Sawant, V. A., and Deb, K. (2013). “3D finite element dynamic analysis of rigid pavement using infinite elements.” Int. J. Geomech., 533–544.
Rovithis, E. N., Pitilakis, K. D., and Mylonakis, G. E. (2009). “Seismic analysis of coupled soil-pile-structure systems leading to the definition of a pseudo-natural SSI frequency.” Soil Dyn. Earthquake Eng., 29(6), 1005–1015.
Viladkar, M. N., Noorzaei, J., and Godbole, P. N. (1995). “Convenient forms of yield criteria in elasto-plastic analysis of geological materials.” Comput. Struct., 54(2), 321–337.
Wu, G., and Finn, W. D. L. (1997). “Dynamic nonlinear analysis of pile foundations using finite element method in the time domain.” Can. Geotech. J., 34(1), 44–52.
Zienkiewicz, O. C., Valliappan, S., and King, I. P. (1968). “Stress analysis of rock as no tension material.” Geotechnique, 18(1), 56–66.
Information & Authors
Information
Published In
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Apr 9, 2014
Accepted: Nov 14, 2014
Published online: Apr 30, 2015
Discussion open until: Sep 30, 2015
Published in print: Feb 1, 2016
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.