Technical Notes
Apr 27, 2018

Dynamic Axial Stiffness and Damping Parameters of Tapered Piles

Publication: International Journal of Geomechanics
Volume 18, Issue 7

Abstract

The theoretical models currently reported in the literature idealize a uniformly tapered pile as a step-tapered pile to facilitate dynamic analysis. The step-taper idealization produces approximate solutions, which become more accurate as the number of steps is increased. This paper presents a new theoretical model for obtaining axial stiffness and damping parameters of tapered piles. The underlying theory is consistent with the traditional elastic model for the vertical vibration of cylindrical piles. The governing differential equation for vertical vibration of a uniformly tapered pile is solved numerically using software, and the dynamic response is analyzed; it is observed that the resonant amplitude can be significantly reduced with an increased taper angle. A simple approximate solution is also presented, and the results are in good agreement with the numerical solution. Frequency-dependent axial stiffness and damping parameters of tapered piles can thus be obtained quickly and with sufficient accuracy by implementation of the proposed approximate method.

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References

Arya, S. C., O’Neill, M. W., and Pincus, G. (1979). Design of structures and foundations for vibrating machines, Gulf Publication, Houston.
Baranov, V. A. (1967). “On the calculation of an embedded foundation.” Voprosy Dinamiki i Prochnosti, 14, 195–209 (in Russian).
Bryden, C., Arjomandi, K., and Valsangkar, A. (2017). “Explicit frequency-dependent equations for vertical vibration of piles.” Pract. Period. Struct. Des. Constr., 06016003.
Cai, Y. Y., Yu, J., Zheng, C., Qi, Z., and Song, B. (2011). “Analytical solution for longitudinal dynamic complex impedance of tapered pile.” Chin. J. Geotech. Eng., 33(2), 392–398 (in Chinese).
Canadian Geotechnical Society. (2006). Canadian foundation engineering manual, 4th Ed., BiTech Publishers, Richmond, BC, Canada.
Department of Defense. (1983). Soil dynamics and special design aspects, Washington, DC.
El Naggar, M. H., and Wei, J. Q. (1999). “Axial capacity of tapered piles established from model tests.” Can. Geotech. J., 36(6), 1185–1194.
Ghazavi, M. (2008). “Response of tapered piles to axial harmonic loading.” Can. Geotech. J., 45(11), 1622–1628.
Ghazavi, M., and Ahmadi, H. A. (2008). “Long-term capacity of driven non-uniform piles in cohesive soil–field load tests.” Proc., 8th Int. Conf. on the Application of Stress-Wave Theory to Piles, Lisbon, Portugal, J. A. dos Santos, ed., IOS, Press, Amsterdam, Netherlands, 139–142.
Han, Y., and Sabin, G. (1995). “Impedances for radially inhomogeneous viscoelastic soil media.” J. Eng. Mech., 939–947.
Horvath, J. S., and Trochalides, T. (2004). “A half century of tapered-pile usage at the John F. Kennedy International Airport.” Proc., Fifth Int. Conf. on Case Histories in Geotechnical Engineering, Univ. of Missouri-Rolla, St. Louis. http://scholarsmine.mst.edu/icchge/5icchge/session11/4/.
Khan, M. K., El Naggar, M. H., and Elkasabgy, M. (2008). “Compression testing and analysis of drilled concrete tapered piles in cohesive-frictional soil.” Can. Geotech. J., 45(3), 372–392.
Kodikara, J., and Moore, I. (1993). “Axial response of tapered piles in cohesive frictional ground.” J. Geotech. Eng., 675–693.
Liu, J., He, J., Wu, Y. P., and Yang, Q. G. (2012). “Load transfer behaviour of a tapered rigid pile.” Géotechnique, 62(7), 649–652.
Maple 18 [Computer software]. Maplesoft, Waterloo, ON, Canada.
Novak, M. (1974). “Dynamic stiffness and damping of piles.” Can. Geotech. J., 11(4), 574–598.
Novak, M. (1977). “Vertical vibration of floating piles.” J. Eng. Mech. Div., 103(1), 153–168.
Novak, M., and El Sharnouby, B. (1983). “Stiffness constants of single piles.” J. Geotech. Eng., 961–974.
Novak, M., and Grigg, R. F. (1976). “Dynamic experiments with small pile foundations.” Can. Geotech. J., 13(4), 372–385.
Prakash, S. (1981). Soil dynamics, McGraw-Hill, New York.
Prakash, S., and Sharma, H. D. (1990). Pile foundations in engineering practice, John Wiley & Sons, New York.
Puri, V. K. (1988). “Observed and predicted natural frequency of a pile foundation.” Proc., Second Int. Conf. on Case Histories in Geotechnical Engineering, Univ. of Missouri-Rolla, Rolla, MO. http://scholarsmine.mst.edu/icchge/2icchge/2icchge-session4/12/.
Rybnikov, A. M. (1990). “Experimental investigations of bearing capacity of bored-cast-in-place tapered piles.” Soil Mech. Found. Eng., 27(2), 48–52.
Saha, S., and Ghosh, D. (1986). “Vertical vibration of tapered piles.” J. Geotech. Eng., 290–302.
Wu, W., Jiang, G., Dou, B., and Leo, C. J. (2013). “Vertical dynamic impedance of tapered pile considering compacting effect.” Math. Prob. Eng., 304856.
Xie, J., and Vaziri, H. (1991). “Vertical vibration of nonuniform piles.” J. Eng. Mech., 1105–1118.

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Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 18Issue 7July 2018

History

Received: Dec 16, 2016
Accepted: Jan 15, 2018
Published online: Apr 27, 2018
Published in print: Jul 1, 2018
Discussion open until: Sep 27, 2018

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Authors

Affiliations

Campbell Bryden [email protected]
Research Assistant, Dept. of Civil Engineering, Univ. of New Brunswick, Fredericton, NB, Canada E3B 5A3 (corresponding author). E-mail: [email protected]
Kaveh Arjomandi, Ph.D. [email protected]
P.Eng.
Assistant Professor, Dept. of Civil Engineering, Univ. of New Brunswick, Fredericton, NB, Canada E3B 5A3. E-mail: [email protected]
Arun Valsangkar, Ph.D. [email protected]
P.Eng.
Professor Emeritus, Dept. of Civil Engineering, Univ. of New Brunswick, Fredericton, NB, Canada E3B 5A3. E-mail: [email protected]

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