Seismic Collapse Capacity–Based Evaluation and Design of Frame Buildings with Viscous Dampers Using Pushover Analysis
Publication: Journal of Structural Engineering
Volume 141, Issue 6
Abstract
A simplified procedure is developed for estimating the seismic sidesway collapse capacity of frame building structures incorporating linear and nonlinear viscous dampers. The proposed procedure is based on a robust database of seismic peak displacement responses of viscously damped nonlinear single-degree-of-freedom systems for various seismic intensities and uses nonlinear static (pushover) analysis without the need for nonlinear time history dynamic analysis. The proposed procedure is assessed by comparing its collapse capacity predictions on 1,190 different building models with those obtained from incremental nonlinear dynamic analyses. A straightforward collapse capacity-based design procedure aimed at achieving a predetermined probability of collapse under maximum considered earthquake event is also introduced for viscously damped structures without extreme soft story irregularities.
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Acknowledgments
The research described in this paper was supported by the Multidisciplinary Center for Earthquake Engineering Research (MCEER). Support from Center for Computational Research (CCR) staff members at the University at Buffalo is also gratefully acknowledged. The authors would like to thank the three reviewers of the original manuscript for their valuable comments. The opinions, findings, conclusions, or recommendations expressed in this paper are those of the authors.
References
Adam, C., and Jäger, C. (2012). “Simplified collapse capacity assessment of earthquake excited regular frame structures vulnerable to -delta.” Eng. Struct., 44, 159–173.
Applied Technology Council (ATC). (1994). Proc., Invitational Workshop on Steel Seismic Issues, Redwood City, CA.
ASCE. (2010). “Minimum design loads of buildings and other structures.”, Reston, VA.
Christopoulos, C., and Filiatrault, A. (2006). Principles of passive supplemental damping and seismic isolation, IUSS Press, Pavia, Italy.
De Luca, F., Vamvatsikos, D., and Iervolino, I. (2013). “Near-optimal piecewise linear fits of static pushover capacity curves for equivalent SDOF analysis.” Earthquake Eng. Struct. Dynam., 42(4), 523–543.
Diotallevi, P. P., Landi, L., and Dellavalle, A. (2012). “A methodology for the direct assessment of the damping ratio of structures equipped with nonlinear viscous dampers.” J. Earthquake Eng., 16(3), 350–373.
Fajfar, P. (2000). “A nonlinear analysis method for performance-based seismic design.” Earthquake Spectra, 16(3), 573–592.
Federal Emergency Management Agency (FEMA). (2009). “Quantification of building seismic performance factors.”, Washington, DC.
Guo, J. W. W., and Christopoulos, C. (2013). “Performance spectra based method for the seismic design of structures equipped with passive supplemental damping systems.” Earthquake Eng. Struct. Dynam., 42(6), 935–952.
Gupta, A., and Krawinkler, H. (1999). “Seismic demands for performance evaluation of steel moment resisting frame structures.”, John A. Blume Earthquake Engineering Center, Stanford Univ., Palo Alto, CA.
Hall, J. F. (1995). “Parameter study of the response of moment -resisting steel frame buildings to near-source ground motions.”, Sacramento, CA.
Hamidia, M. (2014). “Simplified seismic collapse capacity-based evaluation and design of frame buildings with and without supplemental damping systems.” Ph.D. dissertation, State Univ. of New York, Univ. at Buffalo, Buffalo, New York.
Hamidia, M., Filiatrault, A., and Aref, A. (2014a). “Simplified seismic sidesway collapse capacity based evaluation and design of frame buildings with linear viscous dampers.” J. Earthquake Eng., 18(4), 528–552.
Hamidia, M., Filiatrault, A., and Aref, A. (2014b). “Simplified seismic sidesway collapse analysis of frame buildings.” Earthquake Eng. Struct. Dynam., 43(3), 429–448.
Hamidia, M., Filiatrault, A., and Aref, A. (2014c). “Simplified seismic collapse capacity-based evaluation and design of frame buildings with and without supplemental damping systems.”, Multidisciplinary Center for Earthquake Engineering Research, Univ. at Buffalo, State Univ. of New York, Buffalo, NY.
Han, S. W., Moon, K.-H., and Chopra, A. K. (2010). “Application of MPA to estimate probability of collapse of structures.” Earthquake Eng. Struct. Dynam., 39(11), 1259–1278.
Haselton, C. B. (2006). “Assessing seismic collapse safety of modern reinforced concrete moment frame buildings.” Ph.D. dissertation, Dept. of Civil and Environmental Engineering, Stanford Univ., Stanford, CA.
Haselton, C. B., Liel, A. B., Deierlein, G. G., Dean, B. S., and Chou, J. H. (2011). “Seismic collapse safety of reinforced concrete buildings. I: Assessment of ductile moment frames.” J. Struct. Eng., 481–491.
Hwang, J. S., Huang, Y. N., Yi, S. L., and Ho, S. Y. (2008). “Design formulations for supplemental viscous dampers to building structures.” J. Struct. Eng., 22–31.
Kasai, K., Ito, H., Ooki, Y., Hikino, T., Kajiwara, K., Motorui, S., Ozaki, H., and Ishii, M. (2010). “Full-scale shake table tests of 5-story steel building with various dampers.” Proc., 7th Int. Conf. on Urban Earthquake Engineering (7CUEE), Tokyo Institute of Technology, Tokyo.
Krawinkler, H., and Seneviratna, G. D. P. K. (1998). “Pros and cons of a pushover analysis of seismic performance evaluation.” Eng. Struct., 20(4–6), 452–464.
Lignos, D. G., and Krawinkler, H. (2011). “Deterioration modeling of steel components in support of collapse prediction of steel moment frames under earthquake loading.” J. Struct. Eng., 1291–1302.
Lin, W. H., and Chopra, A. K. (2002). “Earthquake response of elastic SDF systems with non-linear fluid viscous dampers.” Earthquake Eng. Struct. Dynam., 31(9), 1623–1642.
Miyamoto, H. K., Gilani, A. S. J., Wada, A., and Ariyaratana, C. (2011). “Identifying the collapse hazard of steel special moment-frame buildings with viscous dampers using the FEMA P695 methodology.” Earthquake Spectra, 27(4), 1147–1168.
National Earthquake Hazard Reduction Program (NEHRP). (2009). “NEHRP recommended seismic provisions for new buildings and other structures (FEMA P750).” Building Seismic Safety Council, Washington, DC.
Open System for Earthquake Engineering Simulation (OpenSees). (2013). Pacific Earthquake Engineering Research Center, Univ. of California, Berkeley, CA.
Peruš, I., Klinc, R., Dolenc, M., and Dolšek, M. (2013). “A web-based methodology for the prediction of approximate IDA curves.” Earthquake Eng. Struct. Dyn., 42(1), 43–60.
Ramirez, O. M., et al. (2001). “Development and evaluation of simplified procedures of analysis and design for structures with passive energy dissipation systems.”, Multidisciplinary Center for Earthquake Engineering Research, Univ. at Buffalo, State Univ. of New York, Buffalo, NY.
Ramirez, O. M., Constantinou, M. C., Gomez, J. D., Whittaker, A. S., and Chrysostomou, C. Z. (2002a). “Evaluation of simplified methods of analysis of yielding structures with damping systems.” Earthquake Spectra, 18(3), 501–530.
Ramirez, O. M., Constantinou, M. C., Whittaker, A. S., Kircher, C. A., and Chrysostomou, C. Z. (2002b). “Elastic and inelastic seismic response of buildings with damping systems.” Earthquake Spectra, 18(3), 531–547.
Schmidt, M., and Lipson, H. (2009). “Distilling free-form natural laws from experimental data.” Sci., 324(5923), 81–85.
Uniform Building Code (UBC). (1994). Int. Conf. of Building Officials, Whittier, CA.
Vamvatsikos, D., and Cornell, C. A. (2006). “Direct estimation of the seismic demand and capacity of oscillators with multi-linear static pushovers through IDA.” Earthquake Eng. Struct. Dyn., 35(9), 1097–1117.
Whittaker, A. S., Constantinou, M. C., Ramirez, O. M., Johnson, M. W., and Chrysostomou, C. Z. (2003). “Equivalent lateral force and modal analysis procedures of the 2000 NEHRP provisions for buildings with damping systems.” Earthquake Spectra, 19(4), 959–980.
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Published In
Journal of Structural Engineering
Volume 141 • Issue 6 • June 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Sep 25, 2013
Accepted: May 7, 2014
Published online: Jul 25, 2014
Discussion open until: Dec 25, 2014
Published in print: Jun 1, 2015
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