Cohesionless Soil Behavior Under Random Excitation Conditions
Publication: Journal of Geotechnical Engineering
Volume 114, Issue 8
Abstract
Little is known about the behavior of soil when subjected to random loading. A testing program was undertaken in which dry sand at different confining pressures was tested in a resonant column device using random torsional excitation in addition to conventional sinusoidal loading. The concept of the root‐mean‐square (rms) strain, as well as the use of the extreme value theory to determine the peak shearing strain under random excitation, is presented. The damping and shear modulus from random loading were determined by the autocorrelation function and the power spectral density function. By measuring and analyzing both the input excitation and the output response, the transfer function method was used for the first time in soil testing. Evaluation of the dynamic soil properties for sinusoidal vibration followed conventional procedures. The results indicate that during random loading, the damping values are higher and the shear moduli lower than the values obtained from sinusoidal loading at the same rms strain. Formulas were developed to correct the damping and shear moduli obtained from routine sinusoidal testing so that the values are more representative of actual field conditions.
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References
1.
Abdel‐Ghaffar, A. M., and Scott, R. F. (1981). “Vibration tests of full‐scale earth dam.” J. Geotech. Engrg. Div., ASCE, 107(GT3), 241–269.
2.
Aggour, M. S., Yang, J. C. S., and Al‐Sanad, H. (1982a). “Application of the random decrement technique in the determination of damping of soils.” Proc., Seventh European Conference on Earthquake Engineering, Athens, Greece, Vol. 2, Sept., 337–344.
3.
Aggour, M. S., et al. (1982b). “In‐situ determination of damping of soils.” Proc., Seventh Symposium on Earthquake Engineering, Roorkee, India, Vol. I, Nov., 365–370.
4.
Al‐Sanad, H. A. (1982). “Effect of random loading on modulus and damping of sands,” thesis presented to the University of Maryland, at College Park, Md., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
5.
Al‐Sanad, H., Aggour, M. S., and Yang, J. C. S. (1983). “Dynamic shear modulus and damping ratio from random loading tests.” Geotech. Test. J., ASTM, 6(3), 120–127.
6.
Amini, F. (1986). “Dynamic soil behavior under random excitation conditions,” thesis presented to the University of Maryland, at College Park, Md., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
7.
Amini, F., Tawfiq, K. S., and Aggour, M. S. (1986). “Damping of sandy soils using autocorrelation function.” Proc., 8th Symposium on Earthquake Engineering, Roorkee, India, Dec., I, 181–188.
8.
Bendat, J. S., and Piersol, A. G. (1980). Engineering applications of correlation and spectral analysis. John Wiley and Sons, New York, N.Y.
9.
Burg, J. P. (1975). “Maximum entropy spectral analysis,” thesis presented to Stanford University, at Stanford, Calif., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
10.
Cole, H. A., Jr. (1971). “Methods and apparatus for measuring the damping characteristics of a structure.” United States Patent No. 3,620,069. U.S. Dept. of Commerce, Patent and Trademark Ofc, Washington, D.C.
11.
Crandall, S. H., and Mark, W. D. (1963). Random vibration in mechanical systems. Academic Press, New York, N.Y.
12.
Davenport, A. G. (1964). “Note on the distribution of the largest value of a random function with application to gust loading.” Proc. Inst. Civ. Engrg., London, U.K., 28, 187–196.
13.
Der Kiureghian, A. (1980). “Structural response to stationary excitation.” J. Engrg. Mech. Div., ASCE, 106(EM6), 1195–1213.
14.
Drnevich, V. P., Hardin, B. O., and Shippy, D. J. (1978). “Modulus and damping of soils by the resonant‐column method.” Dyn. Geotech. Test., ASTM, STP 654, 91–125.
15.
Ewins, D. J. (1984). Modal testing: theory and practice. John Wiley and Sons, New York, N.Y.
16.
Fabunmi, J. A. (1986). “Developments in helicopter ground vibration testing.” J. Amer. Helicopter Soc., 31(3), 54–59.
17.
Harichandran, R. S., and Vanmarcke, E. H. (1986). “Stochastic vibration of earthquake ground motion in space and time.” J. Engrg. Mech., ASCE, 112(2), 154–174.
18.
Hardin, B. O. (1970). “Suggested methods of tests for shear modulus and damping of soils by the resonant column.” Special procedures for testing soil and rock for engineering purposes, ASTM, STP 479, Philadelphia, Pa., 516–529.
19.
Martin, G. R., and Seed, H. B. (1966). “An investigation of the dynamic response characteristics of Bon Tempe Dam, California.” Report No. TE‐66‐2 to State of California, Dept. of Water Resources, Univ. of California, Soil Mechanics and Bituminous Materials Research Laboratory, Berkeley, Calif.
20.
Seed, H. B., and Idriss, I. M. (1970). “Analysis of ground motions at Union Bay, Seattle, during earthquakes and distant nuclear blasts.” Bull. Seismol. Soc. Am., 60(1), 125–136.
21.
Shannon and Wilson, and Agbabian‐Jacobsen Associates. (1980). “Evaluation of in‐situ soil damping characteristics.” Report No. NUREG/CR‐1638, U.S. Nuclear Regulatory Commission, Washington, D.C.
22.
Stokoe, K. H., II, and Woods, R. D. (1972). “In‐situ shear wave velocity by cross‐hole method.” J. Soil Mech. Found. Engrg. Div., ASCE, 98(SM5), 443–460.
23.
Vandiver, J. K., and Campbell, R. B. (1980). “The estimation of natural frequencies and damping ratios of off‐shore structures.” ASME Paper No. 80‐WA/DSC‐29, ASME Winter Meeting, Chicago, Ill., Nov.
24.
Vandiver, J. K., et al. (1982). “A mathematical basis for the random decrement vibration signature analysis technique.” J. Mech. Design., ASME, 104(2), 307–313.
25.
Vanmarcke, E. (1983). Random fields. The MIT Press, Cambridge, Mass.
26.
Vanmarcke, E. H. (1975). “On the distribution of the first‐passage time for normal stationary random processes.” J. Appl. Mech., 42(1), 215–220.
27.
Vanmarcke, E. H. (1976). “Structural response to earthquakes.” Seismic risk and engineering decisions. C. Lomnitz and E. Rosenblueth, eds., Elsevier Publishing Company, New York, N.Y.
28.
Vanmarcke, E. H., and Lai, S. P. (1977). “Strong motion duration of earthquakes.” Report No. R77‐16, Dept. of Civil Eng., M.I.T., Cambridge, Mass.
Information & Authors
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Published In
Journal of Geotechnical Engineering
Volume 114 • Issue 8 • August 1988
Pages: 896 - 914
Copyright
Copyright © 1988 ASCE.
History
Published online: Aug 1, 1988
Published in print: Aug 1988
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