Technical Papers
Dec 16, 2013

New Analysis Methodology for Dynamic Soil Characterization Using Free-Decay Response in Resonant-Column Testing

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 140, Issue 1

Abstract

The resonant-column test is widely used for dynamic characterization of soils under different confinement and shear-strain conditions. The free-decay response of a soil specimen in resonant-column testing shows a nonlinear behavior when the strain levels exceed a threshold shear strain. However, the dynamic parameters are commonly determined assuming a linear single-degree-of-freedom (SDOF) model. This paper presents a new analysis methodology based on the complex exponential method (CEM) for the nonlinear dynamic characterization of soil specimens using the free-decay response in torsional fixed-free resonant-column testing. This analysis methodology represents a solution to the chronic problem of evaluating the dynamic properties of soils while avoiding the negative effects of imposing many loading cycles at strain levels greater than the threshold shear strain, which, in turn, change the original dynamic properties of soil specimens. The effectiveness of the proposed analysis methodology is demonstrated on a dry-sand specimen tested under isotropic loading and unloading conditions, two confining pressures (40 and 100 kPa), and different shear-strain levels (1.34×105γ1.52×103). The results from the CEM are compared with the results from traditional linear SDOF methods (transfer function and free-decay response). Damping ratios obtained from the CEM are also compared with values obtained using the empirical-mode-decomposition–Hilbert-transform (EMD-HT) method. The results show that the damping ratio can be underestimated up to 80% at strain levels greater than the threshold shear strain when computed using linear SDOF models. In a nonlinear free-decay response in resonant-column testing analyzed using the CEM, it is possible to observe that the dry-sand specimen becomes denser (stiffer). Thus the shear-wave velocity (resonant frequency) increases at the low shear-strain levels imposed during the same test.

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Acknowledgments

The authors express their gratitude to Prof. Sriram Narasimhan for his comments on the manuscript and thoughtful discussions on use of the empirical-mode decomposition method and the Hilbert-Huang method. They are also grateful to the Natural Sciences and Engineering Research Council of Canada (NSERC), the University Network of Excellence in Nuclear Engineering (UNENE), and Hydro-One for the funding provided for this research.

References

ASTM. (2007). “Standard test methods for modulus and damping of soils by resonant-column method.” D4015-077, West Conshohocken, PA.
Bracale, A., Caramia, P., and Carpinelli, G. (2007). “Adaptive Prony method for waveform distortion detection in power systems.” Int. J. Electr. Power Energy Syst., 29(5), 371–379.
Braun, S., and Hammond, K. J. (1986). “Parametric methods.” Mechanical signature analysis: Theory and applications, S. Braun, ed., Academic Press, London, 103–138.
Cascante, G., and Santamarina, J. (1996). “Interparticle contact behaviour on wave propagation.” J. Geotech. Eng., 122(10), 831–839.
Cascante, G., Vanderkooy, J., and Chung, W. (2003). “Difference between current and voltage measurements in resonant-column testing.” Can. Geotech. J., 40(4), 806–820.
Cascante, G., Vanderkooy, J., and Chung, W. (2005). “A new mathematical model for resonant-column measurements including eddy-current effects.” Can. Geotech. J., 42(1), 121–135.
Drnevich, V. P., and Richart, F. E. (1970). “Dynamic prestraining of dry sand.” J. Soil Mech. and Found. Div., 96(2), 453–467.
Feldman, M. (1994). “Nonlinear system vibration analysis using hilbert transform free vibration analysis method.” Mech. Syst. Signal Process., 8(2), 119–127.
Garoosi, V., and Jansen, H. (2000). “Development and evaluation of the piecewise Prony method for evoked potential analysis.” IEEE Trans. Biomed. Eng., 47(12), 1549–1554.
Hardin, B. O. (1965). “The nature of damping in sands.” J. Soil Mech. and Found. Div., 91(1), 63–98.
Hardin, B. O., and Richart, F. E. (1963). “Elastic wave velocities in granular soil.” J. Soil Mech. and Found. Div., 89(1), 33–65.
Hardin, B. O., and Scott, G. D. (1966). “Generalized Kelvin-Voigt used in soil dynamics study.” J. Engrg. Mech. Div., 92(1), 143–156.
Huang, Norden E., et al. (1998). “The empirical mode decomposition for the Hilbert spectrum for nonlinear and nonstationary time series analysis.” Proc. R. Soc. Lond. A, 454(1971), 903–995.
Khan, Z., Cascante, G., and El-Naggar, H. (2008a). “Evaluation of the first torsional mode of vibration and base fixidity in resonant column.” ASTM Geotech. Test. J., 31(1), 587–606.
Khan, Z., Cascante, G., El-Naggar, H., and Lai, C. (2008b). “Measurement of frequency dependent dynamic properties of soils using the resonant column device.” J. Geotech. Geoenviron. Eng., 134(9), 1319–1326.
Khan, Z., El-Naggar, M. H., and Cascante, G. (2011). “Frequency dependent dynamic properties of soils from resonant column and cyclic triaxial tests.” J. Franklin Inst., 348(7), 1363–1376.
Li, X., and Yang, W. (1998). “Effects of vibration history on modulus and damping of dry sand.” J. Geotech. Geoenviron. Eng., 124(11), 1071–1081.
Meng, J., and Rix, G. (2003). “Reduction of equipment-generated damping in resonant column measurements.” Geotechnique, 53(5), 503–512.
Osborne, M. R., and Smyth, G. K. (1995). “A modified Prony algorithm for fitting sums of exponential functions.” SIAM J. Sci. Comput., 16(1), 119–138.
Rilling, G., Flandrin, P., and Goncalves, P. (2003). “On empirical mode decomposition and its algorithms.” Proc., IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing NSIP-03.
Santamarina, J. C., and Cascante, G. (1996). “Stress anisotropy and wave propagation: A micromechanical view.” Can. Geotech. J., 33(5), 770–782.
Slivinskas, V., and Simonyte, V. (2006). “Estimation of parameters of impulse responses of mechanical systems by modified Prony method.” Solid State Phenomena, 113(1), 190–194.
Vucetic, M. (1994). “Cyclic threshold shear strains in soils.” J. Geotech. Engrg., 120(12), 2208–2228.
Wang, Y.-H., Cascante, G., and Santamarina, C. (2003). “Resonant column testing: The inherent counter emf effect.” ASTM Geotech. Test. J., 26(3), 1–19.
Wilson, S. D., and Dietrich, R. J. (1960). “Effect of consolidation pressure on elastic and strength properties of clay.” Proc., ASCE Soil Mechanics and Foundation Division Research Conf. on Shear Strength of Cohesive Soils, ASCE, Reston, VA, 419–435.
Yang, J. N., Lei, Y., Pan, S., and Huang, N. (2003). “Identification of linear structures based on Hilbert-Huang transform. 1: Normal modes.” Earthquake Eng. Struct. Dynam., 32(9), 1443–1467.
Zambelli, C., di Prisco, C., d’Onofrio, A., Visone, C., and de Magistris, F. (2006). “Dependency of the mechanical behaviour of granular soils on loading frequency: Experimental results and constitutive modeling.” Proc., Geotechnical Symp., Soil Stress-Strain Behavior: Measurement, Modeling and Analysis, Vol. 146, Springer, Dordrecht, Netherlands, 567–582.
Zhou, Y., and Chen, Y. (2005). “Influence of seismic cyclic loading history on small strain shear modulus of saturated sands.” Soil Dyn. Earthquake Eng., 25(3), 341–353.

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Published In

Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 140Issue 1January 2014
Pages: 121 - 132

History

Received: Aug 9, 2012
Accepted: Jun 12, 2013
Published online: Dec 16, 2013
Published in print: Jan 1, 2014

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Authors

Affiliations

Fernando Tallavo
Research Associate, Civil and Environmental Engineering Dept., Univ. of Waterloo, Waterloo, ON, Canada N2L 3G1.
Giovanni Cascante, M.ASCE [email protected]
Professor, Civil and Environmental Engineering Dept., Univ. of Waterloo, Waterloo, ON, Canada N2L 3G1 (corresponding author). E-mail: [email protected]
Ayan Sadhu, A.M.ASCE
Research Assistant, Civil and Environmental Engineering Dept., Univ. of Waterloo, Waterloo, ON, Canada N2L 3G1.
Mahesh D. Pandey, M.ASCE
Professor, Civil and Environmental Engineering Dept., Univ. of Waterloo, Waterloo, ON, Canada N2L 3G1.

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