Technical Papers
Apr 8, 2013

Pros and Cons of Rotating Ground Motion Records to Fault-Normal/Parallel Directions for Response History Analysis of Buildings

Publication: Journal of Structural Engineering
Volume 140, Issue 3

Abstract

According to the regulatory building codes in the United States (e.g., 2010 California Building Code), at least two horizontal ground motion components are required for three-dimensional (3D) response history analysis (RHA) of building structures. For sites within 5 km of an active fault, these records should be rotated to fault-normal/fault-parallel (FN/FP) directions, and two RHAs should be performed separately (when FN and then FP are aligned with the transverse direction of the structural axes). It is assumed that this approach will lead to two sets of responses that envelope the range of possible responses over all nonredundant rotation angles. This assumption is examined here, for the first time, using a 3D computer model of a six-story reinforced-concrete instrumented building subjected to an ensemble of bidirectional near-fault ground motions. Peak values of engineering demand parameters (EDPs) were computed for rotation angles ranging from 0 through 180° to quantify the difference between peak values of EDPs over all rotation angles and those due to FN/FP direction rotated motions. It is demonstrated that rotating ground motions to FN/FP directions (1) does not always lead to the maximum responses over all angles, (2) does not always envelope the range of possible responses, and (3) does not provide maximum responses for all EDPs simultaneously even if it provides a maximum response for a specific EDP.

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Acknowledgments

Neal S. Kwong would like to acknowledge the USGS for providing him the financial support for conducting this research. Special thanks are extended to Rakesh Goel for generously providing the OpenSees model of the Imperial County Services building. Rui Chen, Alex Taflanidis, Dimitrios Vamvatsikos, Aysegul Askan, Ricardo Medina, and three anonymous reviewers reviewed the material presented herein and offered their valuable comments and suggestions, which helped improve the technical quality and presentation of this paper.

References

ASCE. (2010). Minimum design loads for buildings and other structures, ASCE/SEI 7-10, Reston, VA.
Athanatopoulou, A. M. (2005). “Critical orientation of three correlated seismic components.” Eng. Struct., 27(2), 301–312.
Bray, J., and Rodriguez-Marek, A. (2004). “Characterization of forward-directivity ground motions in the near-fault region.” Soil Dyn. Earthquake Eng., 24(11), 815–828.
Dudley, R. M. (1999). Uniform central limit theorems, Cambridge University Press, Cambridge, UK.
Fernandez-Davila, I., Comeinetti, S., and Cruz, E. F. (2000). “Considering the bi-directional effects and the seismic angle variations in building design.” Proc., 12th World Conf. on Earthquake Engineering, Auckland, New Zealand.
Franklin, C. Y., and Volker, J. A. (1982). “Effect of various 3-D seismic input directions on inelastic building systems based on INRESB-3D-82 Computer Program.” Proc., 7th Eur. Conf. on Earthquake Engineering.
Chopra, A. K. (2007). Dynamics of structures: Theory and applications to equation engineering, 2nd Ed., Prentice-Hall, Englewood Cliffs, NJ.
Goel, R. K., and Chadwell, C. (2007). Evaluation of current nonlinear static procedures for concrete buildings using recorded strong-motion data, data interpretation rep., California Strong Motion Instrumentation Program (CSMIP), Dept. of Conservation, Sacramento, CA.
Goel, R. K., and Chopra, A. K. (2004). “Evaluation of modal and FEMA pushover analysis: SAC buildings.” Earthquake Spectra, 20(1), 225–254.
Goda, K. (2012). “Comparison of peak ductility demand of inelastic SDOF systems in maximum elastic response and major principal directions.” Earthquake Spectra, 28(1), 385–399.
International Conference for Building Officials (ICBO). (2009). International building code, Whittier, CA.
International Conference for Building Officials (ICBO). (2010). California building code, Whittier, CA.
Kalkan, E., and Kunnath, S. K. (2006). “Effects of fling-step and forward directivity on the seismic response of buildings.” Earthquake Spectra, 22(2), 367–390.
Kalkan, E., and Kunnath, S. K. (2007). “Effective cyclic energy as a measure of seismic demand.” J. Earthquake Eng., 11(5), 725–751.
Kalkan, E., and Kunnath, S. K. (2008). “Relevance of absolute and relative energy content in seismic evaluation of structures.” Adv. Struct. Eng., 11(1), 17–34.
Kalkan, E., and Kwong, N. S. (2012). Evaluation of fault-normal/fault-parallel directions rotated ground motions for response history analysis of an instrumented six-story building, Menlo Park, CA, 〈http://pubs.usgs.gov/of/2012/1058/〉 (Sep. 21, 2013).
Khoshnoudian, F., and Poursha, M. (2004). “Responses of three dimensional buildings under bi-directional and unidirectional seismic excitations.” Proc., 13th World Conf. on Earthquake Engineering, Mira Digital Publishing, Vancouver, Canada.
Kojic, S., Trifunac, M. D., and Anderson, J. C. (1984). A post earthquake response analysis of the Imperial County Services building in El Centro, University of Southern California, Dept. of Civil Engineering, Los Angeles.
Lagaros, N. D. (2010). “Multicomponent incremental dynamic analysis considering variable incident angle.” Struct. Infrastr. Eng., 6(1–2), 77–94.
Lopez, O. A., Chopra, A. K., and Hernandez, J. J. (2000). “Critical response of structures to multicomponent earthquake excitation.” Earthquake Eng. Struct. Dyn., 29(12), 1759–1778.
Lopez, O. A., and Torres, R. (1997). “The critical angle of seismic incidence and structural response.” Earthquake Eng. Struct. Dyn., 26(9), 881–894.
MacRae, G. A., and Mattheis, J. (2000). “Three-dimensional steel building response to near-fault motions.” J. Struct. Eng., 117–126.
Mavroeidis, G. P., and Papageorgiou, A. S. (2003). “A mathematical representation of near-fault ground motions.” Bull. Seismol. Soc. Am., 93(3), 1099–1131.
OpenSees [Computer software]. Berkeley, CA, 〈http://opensees.berkeley.edu〉 (Sep. 21, 2013).
Penzien, J., and Watabe, M. (1974). “Characteristics of 3-dimensional earthquake ground motions.” Earthquake Eng. Struct. Dyn., 3(4), 365–373.
Reyes, J. C., and Kalkan, E. (2013a). “Significance of rotating ground motions on behavior of symmetric- and asymmetric-plan structures: Part 1. Single-story structures.” Earthquake Spectra, in press.
Reyes, J. C., and Kalkan, E. (2013b). “Significance of rotating ground motions on behavior of symmetric- and asymmetric-plan structures: Part 2. Multi-story structures.” Earthquake Spectra, in press.
Rigato, A., and Medina, R. A. (2007). “Influence of angle of incidence on the seismic demands for inelastic single-storey structures subjected to bi-directional ground motions.” Eng. Struct., 29(10), 2593–2601.
Tezcan, S. S., and Alhan, C. (2001). “Parametric analysis of irregular structures under seismic loading according to the new Turkish Earthquake Code.” Eng. Struct., 23(6), 600–609.
Todorovska, M. I., and Trifunac, M. D. (2008). “Earthquake damage detection in the Imperial County Services Building. III: Analysis of wave travel times via impulse response functions.” Soil Dyn. Earthquake Eng., 28(5), 387–404.
Wasserman, L. (2004). All of statistics: A concise course in statistical inference, Springer, New York.
Wilson, E. L., Suharwardy, I., and Habibullah, A. (1995). “A clarification of the orthogonal effects in a three-dimensional seismic analysis.” Earthquake Spectra, 11(4), 659–666.

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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 140Issue 3March 2014

History

Received: Feb 3, 2012
Accepted: Apr 5, 2013
Published online: Apr 8, 2013
Published in print: Mar 1, 2014
Discussion open until: Mar 28, 2014

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Authors

Affiliations

Erol Kalkan [email protected]
M.ASCE
Research Structural Engineer, USGS, Menlo Park, CA 94025 (corresponding author). E-mail: [email protected]
Neal S. Kwong [email protected]
Ph.D. Candidate, Univ. of California, Berkeley, CA 94709. E-mail: [email protected]

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