Technical Papers
May 10, 2017

Peak Sliding Demands on Unanchored Equipment and Contents in Base-Isolated Buildings under Pulse Excitation

Publication: Journal of Structural Engineering
Volume 143, Issue 9

Abstract

Unanchored equipment and contents (EC) in buildings are of primary concern during an earthquake because not only can they contribute to substantial nonstructural losses but also pose a serious safety risk to building occupants. Base isolation is widely considered to be an effective technique for reducing seismic demands on nonstructural components, but recent research has noted situations, under broadband ground motions, where isolating a building can in fact amplify the response of unanchored EC that are prone to sliding. This study investigates the sliding response of unanchored EC in base-isolated buildings subjected to analytical pulse excitation representing pulselike ground motions. Describing the excitation by analytical pulses enables the application of dimensional analysis on the problem to provide insight into how different parameters of the nonlinear problem affect the response. The EC are idealized as freestanding rigid bodies, and the contact surface between the EC and floor is described by a Stribeck friction model taking into account the transition from static to kinetic friction. The isolation system is treated as either viscoelastic or bilinear. The study shows that the peak sliding response of rigid objects exhibits complete similarity in the ratio of kinetic-to-static friction coefficient. Therefore, a simple Coulomb model with a single friction coefficient value is adequate for estimating the peak sliding displacement. Moreover, it is observed that as the isolation damping increases, the sliding response exhibits complete similarity in the ratio of isolation-to-pulse period. The study concludes that certain combinations of the isolation design parameters can result in amplification in the peak sliding response of contents, compared to the fixed-base building.

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Acknowledgments

The authors would like to gratefully acknowledge the financial support of the Natural Sciences and Engineering Research Council of Canada (NSERC).

References

Alavi, B., and Krawinkler, H. (2001). “Effects of near-fault ground motions on frame structures.”, John A. Blume Earthquake Engineering Center, Stanford Univ., Stanford, CA.
Anderson, J. G., et al. (1986). “Strong ground motion from the Michoagan, Mexico, earthquake.” Science, 233(4768), 1043–1049.
Baker, J. W. (2007). “Quantitative classification of near fault ground motions using wavelet analysis.” Bull. Seismol. Soc. Am., 97(5), 1486–1501.
Barenblatt, G. I. (1996). Scaling, self-similarity, and intermediate asymptotics, Cambridge University Press, New York.
Bertero, V. V., Mahin, S. A., and Herrera, R. A. (1978). “Aseismic design implications of near-fault San Fernando earthquake records.” Earthquake Eng. Struct. Dyn., 6(1), 31–42.
Chaudhuri, S. R., and Hutchinson, T. C. (2005). “Characterizing frictional behavior for use in predicting the seismic response of unattached equipment.” Soil Dyn. Earthquake Eng., 25(7–10), 591–604.
Comerio, M. C., and Stallmeyer, J. C. (2002). “Nonstructural loss estimation: The UC Berkeley case study.”, Pacific Earthquake Engineering Research Center, Berkeley, CA.
Constantinou, M. C., Kartoum, A., and Kelly, J. M. (1992). “Analysis of compression of hollow circular elastomeric bearings.” Eng. Struct., 14(2), 103–111.
Dao, N. D., Ryan, K. L., Sato, E., and Sasaki, T. (2013). “Predicting the displacement of triple pendulum™ bearings in a full-scale shaking experiment using a three-dimensional element.” Earthquake Eng. Struct. Dyn., 42(11), 1677–1695.
Dar, A., Konstantinidis, D., and El-Dakhakhni, W. (2016). “Evaluation of ASCE 43-05 seismic design criteria for rocking objects in nuclear facilities.” J. Struct. Eng., 04016110.
Dimitrakopoulos, E., Makris, N., and Kappos, A. J. (2009). “Dimensional analysis of the earthquake-induced pounding between adjacent structures.” Earthquake Eng. Struct. Dyn., 38(7), 867–886.
Dimitrakopoulos, E. G., and DeJong, M. J. (2012). “Revisiting the rocking block: Closed-form solutions and similarity laws.” Proc. R. Soc. A, 468(2144), 2294–2318.
Fenz, D. M., and Constantinou, M. C. (2008). “Spherical sliding isolation bearings with adaptive behavior: Experimental verification.” Earthquake Eng. Struct. Dyn., 37(2), 185–205.
Filiatrault, A., and Sullivan, T. (2014). “Performance-based seismic design of nonstructural building components: The next frontier of earthquake engineering.” Earthquake Eng. Eng. Vib., 13(S1), 17–46.
Furukawa, S., Sato, E., Shi, Y., Becker, T., and Nakashima, M. (2013). “Full-scale shaking table test of a base-isolated medical facility subjected to vertical motions.” Earthquake Eng. Struct. Dyn., 42(13), 1931–1949.
Gazetas, G., Garini, E., Anastasopoulos, I., and Georgarakos, T. (2009). “Effects of near-fault ground shaking on sliding systems.” J. Geotech. Geoenviron. Eng., 1906–1921.
Hall, J. F., Heaton, T. H., Halling, M. W., and Wald, D. J. (1995). “Nearsource ground motion and its effects on flexible buildings.” Earthquake Spectra, 11(4), 569–605.
Hutchinson, T. C., and Chaudhuri, S. R. (2006). “Bench-shelf system dynamic characteristics and their effects on equipment and contents.” Earthquake Eng. Struct. Dyn., 35(13), 1631–1651.
Karavasilis, T. L., Makris, N., Bazeos, N., and Beskos, D. E. (2010). “Dimensional response analysis of multistory regular steel MRF subjected to pulselike earthquake ground motions.” J. Struct. Eng., 921–932.
Kelly, J. M. (1997). Earthquake-resistant design with rubber, Springer, London.
Kelly, J. M., and Konstantinidis, D. (2011). Mechanics of rubber bearings for seismic and vibration isolation, Wiley, Chichester, U.K.
Konstantinidis, D., Kelly, J. M., and Makris, N. (2008). “Experimental investigation on the seismic response of bridge bearings.”, Pacific Earthquake Engineering Research Center, Berkeley, CA.
Konstantinidis, D., and Makris, N. (2005). “Seismic response analysis of multidrum classical columns.” Earthquake Eng. Struct. Dyn., 34(10), 1243–1270.
Konstantinidis, D., and Makris, N. (2006). “Experimental and analytical studies on the seismic response of freestanding and restrained laboratory equipment.” Proc., 8th U.S. National Conf. on Earthquake Engineering, Earthquake Engineering Research Institute, Oakland, CA.
Konstantinidis, D., and Makris, N. (2009). “Experimental and analytical studies on the response of freestanding laboratory equipment to earthquake shaking.” Earthquake Eng. Struct. Dyn., 38(6), 827–848.
Konstantinidis, D., and Makris, N. (2010). “Experimental and analytical studies on the response of 1/4-scale models of freestanding laboratory equipment subjected to strong earthquake shaking.” Bull. Earthquake Eng., 8(6), 1457–1477.
Konstantinidis, D., and Nikfar, F. (2015). “Seismic response of equipment and contents in base-isolated buildings subjected to broad-band ground motions.” Earthquake Eng. Struct. Dyn., 44(6), 865–887.
Lu, Y., and Panagiotou, M. (2014). “Characterization and representation of near-fault ground motions using cumulative pulse extraction with wavelet analysis.” Bull. Seismol. Soc. Am., 104(1), 410–426.
Makris, N., 1997. “Rigidity–plasticity–viscosity: Can electrorheological dampers protect base-isolated structures from nearsource ground motions?” Earthquake Eng. Struct. Dyn., 26(5), 571–591.
Makris, N., and Black, C. J. (2004a). “Dimensional analysis of bilinear oscillators under pulse-type excitations.” J. Eng. Mech., 1019–1031.
Makris, N., and Black, C. J. (2004b). “Dimensional analysis of rigid-plastic and elastoplastic structures under pulse-type excitations.” J. Eng. Mech., 1006–1018.
Makris, N., and Black, C. J. (2004c). “Evaluation of peak ground velocity as a ‘good’ intensity measure for near-source ground motions.” J. Eng. Mech., 1032–1044.
Makris, N., and Chang, S. P. (2000). “Effect of viscous, viscoplastic and friction damping on the response of seismic isolated structures.” Earthquake Eng. Struct. Dyn., 29(1), 85–107.
Makris, N., and Vassiliou, M. F. (2011). “The existence of ‘complete similarities’ in the response of seismic isolated structures subjected to pulse-like ground motions and their implications in analysis.” Earthquake Eng. Struct. Dyn., 40(10), 1103–1121.
MATLAB [Computer software]. MathWorks, Natick, MA.
Mavroeidis, G. P., and Papageorgiou, A. S. (2003). “A mathematical representation of near-fault ground motions.” Bull. Seismol. Soc. Am., 93(3), 1099–1131.
Mokha, A., Constantinou, M., and Reinhorn, A. (1990). “Teflon bearings in base isolation. I: Testing.” J. Struct. Eng., 438–454.
Newmark, N. M. (1965). “Effects of earthquakes on dams and embankments.” Géotechnique, 15(2), 139–160.
Newmark, N. M., and Rosenblueth, E. (1971). Fundamentals of earthquake engineering, Prentice Hall, Englewood Cliffs, NJ.
Nikfar, F., and Konstantinidis, D. (2013). “Sliding response analysis of operational and functional components (OFC) in seismically isolated buildings.” Proc., 3rd Specialty Conf. on Disaster Prevention and Mitigation, Canadian Society of Civil Engineering, Montreal.
Nikfar, F., and Konstantinidis, D. (2014). “Solving dynamical systems with path-dependent nonlinearities using MATLAB ODE solvers.” Proc., 10th National Conf. in Earthquake Engineering, Earthquake Engineering Research Institute, Oakland, CA.
Nikfar, F., and Konstantinidis, D. (2016). “Effect of the stick-slip phenomenon on the sliding response of objects subjected to pulse excitation.” J. Eng. Mech., 04016122.
Ryan, K. L., and Dao, N. D. (2016). “Influence of vertical ground shaking on horizontal response of seismically isolated buildings with friction bearings.” J. Struct. Eng., 04015089.
Sarma, S. K. (1975). “Seismic stability of earth dams and embankments.” Géotechnique, 25(4), 743–761.
Shenton, H. W. (1996). “Criteria for initiation of slide, rock, and slide-rock rigid-body modes.” J. Eng. Mech., 122(7), 690–693.
Somerville, P., and Graves, R. (1993). “Conditions that give rise to unusually large long period ground motions.” Struct. Des. Tall Build., 2(3), 211–232.
Steelman, J. S., Fahnestock, L. A., Hajjar, J. F., and LaFave, J. M. (2016). “Performance of nonseismic PTFE sliding bearings when subjected to seismic demands.” J. Bridge Eng., 04015028.
Taghavi, S., and Miranda, E. (2003). “Response assessment of nonstructural building elements.”, Pacific Earthquake Engineering Research Center, Berkeley, CA.
Tsopelas, P., Constantinou, M. C., Kim, Y. S., and Okamoto, S. (1996). “Experimental study of FPS sytem in bridge sesimic isolation.” Earthquake Eng. Struct. Dyn., 25(1), 65–78.
Vassiliou, M. F., and Makris, N. (2011). “Estimating time scales and length scales in pulse-like earthquake acceleration records with wavelet analysis.” Bull. Seismol. Soc. Am., 101(2), 596–618.
Vassiliou, M. F., and Makris, N. (2012). “Analysis of the rocking response of rigid blocks standing free on a seismically isolated base.” Earthquake Eng. Struct. Dyn., 41(2), 177–196.
Veletsos, A. S., Newmark, N. M., and Chelepati, C. V. (1965). “Deformation spectra for elastic and elastoplastic systems subjected to ground shock and earthquake motions.” Proc., 3rd World Conf. on Earthquake Engineering, International Association for Earthquake Engineering, Tokyo.
Voyagaki, E. (2012). “Contributions to dynamic response of yielding systems to near-fault earthquake motions.” Ph.D. disseration, School of Civil Engineering, National Technical Univ., Athens, Greece.
Voyagaki, E., Mylonakis, G., and Psycharis, I. N. (2012). “Rigid block sliding to idealized acceleration pulses.” J. Eng. Mech., 1071–1083.
Xia, F. (2003). “Modelling of a two-dimensional Coulomb friction oscillator.” J. Sound Vib., 265(5), 1063–1074.
Yang, T. Y., Konstantinidis, D., and Kelly, J. M. (2010). “The influence of isolator hysteresis on equipment performance in seismic isolated buildings.” Earthquake Spectra, 26(1), 275–293.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 143Issue 9September 2017

History

Received: May 13, 2016
Accepted: Feb 6, 2017
Published online: May 10, 2017
Published in print: Sep 1, 2017
Discussion open until: Oct 10, 2017

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Farzad Nikfar, S.M.ASCE
Structural Designer, Associated Engineering, Suite 200, 165 Commerce Valley Dr. W, Markham, ON, Canada L3T 7V8; formerly, Ph.D. Candidate, Dept. of Civil Engineering, McMaster Univ., 1280 Main St. W, Hamilton, ON, Canada L8S 4L7.
Dimitrios Konstantinidis, M.ASCE [email protected]
Assistant Professor, Dept. of Civil Engineering, McMaster Univ., 1280 Main St. W, Hamilton, ON, Canada L8S 4L7 (corresponding author). E-mail: [email protected]

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