Dynamic Stiffness and Damping of a Shallow Foundation from Forced Vibration of a Field Test Structure
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 137, Issue 4
Abstract
Foundation impedance ordinates are identified from forced vibration tests conducted on a large-scale model test structure in Garner Valley, California. The structure is a steel moment frame with removable cross-bracing, a reinforced concrete roof, and a nonembedded square slab resting on Holocene silty sands. Low-amplitude vibration is applied across the frequency range of 5–15 Hz with a uniaxial shaker mounted on the roof slab. We describe procedures for calculating frequency-dependent foundation stiffness and damping for horizontal translational and rotational vibration modes. We apply the procedures to test data obtained with the structure in its braced and unbraced configurations. Experimental stiffness ordinates exhibit negligible frequency dependence in translation but significant reductions with frequency in rotation. Damping increases strongly with frequency, is stronger in translation than in rocking, and demonstrates contributions from both radiation and hysteretic sources. The impedance ordinates are generally consistent with numerical models for a surface foundation on a half-space, providing that soil moduli are modestly increased from free-field values to account for structural weight, and hysteretic soil damping is considered.
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Acknowledgments
This work was partially supported by the Center for Embedded Network Sensing (CENS) at UCLA and also by fellowship funding from UCLA. This research made use of the testing facilities of NEES and NEES at UCSB. NEES Site PI Dr. Jamison Steidl is thanked for his assistance with site operation and data collection, as are NEES at UCSB staff Hank Ratzesberger and Paul Hegarty. We thank Timothy Ancheta, Dennis Hiltunen, George Mylonakis, and Dimitris Pitilakis for helpful discussions over the course of this research. We thank Lisa Star for independently checking the test results. Two anonymous reviewers are thanked for their helpful comments. We thank Dr. Atsushi Mikami for performing the SASSI runs for the test structure.
References
Abrahamson, N. A. (1992). “Spatial variation of earthquake ground motion for application to soil–structure interaction.” Rep. No. TR-100463, Electrical Power Research Institute, Palo Alto, CA.
ASCE. (2006). “Seismic rehabilitation of existing buildings.” ASCE/SEI 41-06, Reston, VA.
Andrus, R. D., Stokoe, K. H., II, and Juang, C. H. (2004). “Guide for shear-wave-based liquefaction potential evaluation.” Earthquake Spectra, 20(2), 285–308.
Apsel, R. J., and Luco, J. E. (1987). “Impedance functions for foundations embedded in a layered medium: An integral equation approach.” Earthquake Eng. Struct. Dyn., 15(2), 213–231.
Building Seismic Safety Council (BSSC). (2009). “NEHRP recommended seismic provisions for new buildings and other structures.” Rep. FEMA P-750, FEMA, Washington DC.
Clough, R. W., and Penzien, J. (1993). Dynamics of structures, McGraw Hill, New York.
Crouse, C. B., Hushmand, B., Luco, J. E., and Wong, H. L. (1990). “Foundation impedance functions: Theory versus experiment.” J. Geotech. Eng., 116(3), 432–449.
Crouse, C. B., Liang, G. C., and Martin, G. R. (1984). “Experimental study of soil-structure interaction at an accelerograph station.” Bull. Seismol. Soc. Am., 74(5), 1995–2013.
Crouse, C. B., and McGuire, J. (2001). “Energy dissipation in soil-structure interaction.” Earthquake Spectra, 17(2), 235–259.
Darendeli, M. (2001). “Development of a new family of normalized modulus reduction and material damping curves.” Ph.D. dissertation, Dept. of Civil, Architectural, and Environmental Engineering Univ. of Texas, Austin, TX.
de Barros, C. P., and Luco, J. E. (1995). “Identification of foundation impedance functions and soil properties from vibration tests of the Hualien containment model.” Soil Dyn. Earthquake Eng., 14(4), 229–248.
Dobry, R., Gazetas, G., and Stokoe, K. H., II. (1986). “Dynamic response of arbitrarily shaped foundations: Experimental verification.” J. Geotech. Eng., 112(2), 136–154.
Fadum, R. E. (1948). “Influence values for estimating stresses in elastic foundations.” Proc. 2nd Int. Conf. Soil Mechanics and Foundation Engineering, Rotterdam, Vol. 3, 77–84.
Gadre, A., and Dobry, R. (1998). “Lateral cyclic loading centrifuge tests on square embedded footing.” J. Geotech. Geoenviron. Eng., 124(11), 1128–1138.
Gajan, S., and Kutter, B. L. (2008). “Capacity, settlement, and energy dissipation of shallow footings subjected to rocking.” J. Geotech. Geoenviron. Eng., 134(8), 1129–1141.
Gazetas, G. (1991). “Formulas and charts for impedances of surface and embedded foundations.” J. Geotech. Eng., 117(9), 1363–1381.
Gazetas, G., and Stokoe, K. H., II. (1991). “Free vibration of embedded foundations: Theory versus experiment.” J. Geotech. Eng., 117(9), 1382–1401.
Hardin, B. O., and Black, W. L. (1968). “Vibration modulus of normally consolidated clay.” J. Soil Mech. Found. Div., 94(2), 353–369.
Iguchi, M., and Luco, J. E. (1982). “Vibration of flexible plate on viscoelastic medium.” J. Eng. Mech., 108(6), 1103–1120.
Kim, S., and Stewart, J. P. (2003). “Kinematic soil-structure interaction from strong motion recordings.” J. Geotech. Geoenviron. Eng., 129(4), 323–335.
Lin, A. N., and Jennings, P. C. (1984). “Effect of embedment on foundation-soil impedances.” J. Eng. Mech., 110(7), 1060–1075.
Luco, J. E, Trifunac, M. D., and Wong, H. L. (1988). “Isolation of soil structure interaction effects by full-scale forced vibration tests.” Earthquake Eng. Struct. Dyn., 16(1), 1–21.
Marcuson, W. F., and Wahls, H. E. (1972). “Time effects on dynamic shear modulus of clays.” J. Soil Mech. Found. Div., 98(12), 1359–1373.
Mikami, A., Stewart, J. P., and Kamiyama, M. (2008). “Effects of time series analysis protocols on transfer functions calculated from earthquake accelerograms.” Soil Dyn. Earthquake Eng., 28(9), 695–706.
Nii, Y. (1987). “Experimental half-space dynamic stiffness.” J. Geotech. Eng., 113(11), 1359–1373.
Novak, M. (1987). “Discussion of ‘Dynamic response of arbitrarily shaped foundations: Experimental verification’ by Ricardo Dobry, George Gazetas, and Kenneth H. Stokoe II.” J. Geotech. Eng., 113(11), 1410–1412.
Ostadan, F. (2006). SASSI2000: A system for analysis of soil-structure interaction, Revision 2, user’s manual, Bechtel, San Francisco.
Pais, A., and Kausel, E. (1988). “Approximate formulas for dynamic stiffnesses of rigid foundations.” Soil Dyn. Earthquake Eng., 7(4), 213–227.
Pandit, S. M. (1991). Modal and spectrum analysis, Wiley, New York.
Richart, F. E., Jr., and Whitman, E. V. (1967). “Comparison of footing vibration tests with theory.” J. Soil Mech. and Found. Div., 93(6), 143–168.
Stewart, J. P., Kim, S., Bielak, J., Dobry, R., and Power, M. (2003). “Revisions to soil structure interaction procedures in NEHRP design provisions.” Earthquake Spectra, 19(3), 677–696.
Stewart, J. P., Whang, D. H., Nigbor, R. L., Wallace, J. W., and Kim, S. (2005). “Role of field performance data in development and calibration of seismic soil-structure interaction analysis procedures.” Soil-Structure Interaction: Calculation Methods and Engineering Practice, Proc. of the Int. Geotechnical Conf. Dedicated to the Tercentenary of St. Petersburg, V. M. Ulitsky, ed., Vol. 1, St. Petersburg, Russia, 47–58.
Stokoe, K. H., II, Kurtulus, A., and Menq, F.-H. (2004). “Data report-SASW measurements at the NEES Garner Valley Test Site, California.” Dept. of Civil Engineering, Univ. of Texas, Austin, 〈http://nees.ucsb.edu/〉 (2010).
Tileylioglu, S. (2008). “Evaluation of soil-structure interaction effects from field performance data.” Ph.D. dissertation, Dept. of Civil and Environmental Engineering, Univ. of California, Los Angeles.
Veletsos, A. S., and Wei, Y. T. (1971). “Lateral and rocking vibrations of footings.” J. Soil Mech. and Found. Div., 97(9), 1227–1248.
Vrettos, C. (1999). “Vertical and rocking impedances for rigid rectangular foundations on soils with bounded non-homogeneity.” Earthquake Eng. Struct. Dyn., 28(12), 1525–1540.
Wong, H. L., and Luco, J. E. (1985). “Tables of impedance functions for square foundations on layered media.” Soil Dyn. Earthquake Eng., 4(2), 64–81.
Wong, H. L., Trifunac, M. D., and Luco, J. E. (1988). “A comparison of soil-structure interaction calculations with results of full-scale forced vibration tests.” Soil Dyn. Earthquake Eng., 7(1), 22–31.
Yamada, S., Hyodo, M., Orense, R. P., Dinesh, S. V., and Hyodo, T. (2008). “Strain-dependent dynamic properties of remolded sand-clay mixtures.” J. Geotech. Geoenviron. Eng., 134(7), 972–981.
Youd, T. L., Steidl, J. H., and Nigbor, R. L. (2004). “Ground motion, pore water pressure and SFSI monitoring at NEES permanently instrumented field sites.” Proc. 11th Int. Conf. on Soil Dynamics and Earthquake Engineering and the 3rd Int. Conf. on Earthquake Geotechnical Enginering, PEER, Vol. 2, 435–442.
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© 2011 American Society of Civil Engineers.
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Received: Oct 2, 2009
Published online: Aug 18, 2010
Accepted: Oct 7, 2010
Published in print: Apr 1, 2011
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