Generalized Interstory Drift Spectrum
Publication: Journal of Structural Engineering
Volume 132, Issue 6
Abstract
The recently developed drift spectrum is extended to buildings that do not deform laterally like pure shear beams. Similarly to Iwan’s drift spectrum, the proposed generalized interstory drift spectrum uses a continuous linear-elastic model to obtain estimates of interstory drift demands in buildings. However, the generalized interstory drift spectrum is based on a continuous model that consists of a combination of a flexural beam and a shear beam, rather than only a shear beam. By modifying one parameter the model used in the proposed generalized interstory drift spectrum can consider lateral deformations varying from those of a flexural beam to those of a shear beam. Hence, it permits us to account for a wide range of modes of deformation that represent more closely those of multistory buildings. The proposed generalized interstory drift spectrum is based on modal analysis techniques that are familiar to structural engineers and uses a damping model that avoids the problems that can occur in the drift spectrum. The generalized interstory drift spectrum is illustrated with various recorded ground motions. The effects of damping, higher modes, and lateral stiffness ratio are investigated and discussed.
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Acknowledgments
This work was initiated during a postdoctoral stay of the second author at Stanford University. Financial support for this postdoctoral stay was partially provided by the Scientific Research and Technical Council of Turkey. This financial support is greatly appreciated. The writers thank Professor Lázló Kollár and Dr. Gabriella Tarján for bringing to their attention the work on continuous beams by Hungarian investigators. Similarly, they are also grateful to Professor Andrei Reinhorn, Professor Polat Gülkan, and Professor Peter Fajfar who also provided them with information on previous research on continuous models. Comments by two anonymous reviewers are also acknowledged.
References
Algan, B. B. (1982). “Drift and damage considerations in earthquake resistant design of reinforced concrete buildings.” Ph.D. thesis, Univ. of Illinois, Urbana-Champaign, Ill.
Biot, M. A. (1941). “A mechanical analyzer for the prediction of earthquake stresses.” Bull. Seismol. Soc. Am., 31, 151–171.
Blume, J. A. (1968). “Dynamic characteristics of multi-story buildings.” J. Struct. Div. ASCE, 94, 337–402.
Bozorgnia, Y., and Bertero, V. V. (2001). “Improved shaking and damage parameters for post-earthquake applications.” Proc., SMIP01 Seminar on Utilization of Strong-Motion Data, California Division of Mines and Geology, Los Angeles, 1–22.
Chopra, A. K. (2001). Dynamics of structures: theory and applications to earthquake engineering, 2nd Ed., Prentice–Hall, Upper Saddle River, N.J.
Chopra, A. K., and Chintanapakdee, C. (2001). “Drift spectrum versus. modal analysis of structural response to near-fault ground motions.” Earthquake Spectra 17(2), 221–234.
Chopra, A. K., and Goel, R. K. (2000). “Building period formulas for estimating seismic displacements.” Earthquake Spectra 16(2), 533–536.
Csonka, P. (1965). “Simplified analysis for the calculation of multistory frames subjected to wind load.” Müszaki Tudományok Osztályának Közleményei, 35(1–3), 209–229 (in Hungarian).
Fajfar, P., and Strojnik, S. (1981). “Simplified method for computation of earthquake induced shears and overturning moments in regular multistorey structures.” Proc., 7th World Conf. on Earthquake Engineering, Vol. 7, Turkish Society for Earthquake Engineering, Istanbul, Turkey.
Gülkan, P., and Akkar, S. (2002). “A simple replacement for the drift spectrum.” Eng. Struct., 24(11), 1477–1484.
Gülkan, P., and Sozen, M. A. (1999). “Procedure for determining seismic vulnerability of building structures.” ACI Struct. J., 96(3), 336–342.
Heidebrecht, A. C., and Naumoski, N. D. (1997). “Development and application of a displacement-based design approach for moment-resisting frame structures.” Seismic design methodologies for the next generation of codes, P. Faifar, and H., Krawinkler, eds., Balkema, Rotterdam, The Netherlands, 217–228.
Heidebrecht, A. C., and Rutenberg, A. (2000). “Applications of drift spectra in seismic design.” Proc., 12th World Conf. on Earthquake Engineering, New Zealand Society for Earthquake Engineering, Upper Hutt, New Zealand, Paper No. 209.
Heidebrecht, A. C., and Stafford Smith, B. (1973). “Approximate analysis of tall wall-frame structures.” J. Struct. Div. ASCE, 99(2), 199–221.
Housner, G. W. (1947). “Characteristics of strong motion earthquakes.” Bull. Seismol. Soc. Am., 37(1), 19–31.
Housner, G. W., Martel, R. R., and Alford, J. L. (1953). “Spectrum analysis of strong-motion earthquakes.” Bull. Seismol. Soc. Am. 43(2), 97–119.
International Conference of Building Officials (ICBO). (1997). Uniform building code, Whittier, Calif.
Iwan, W. D. (1997). “Drift spectrum: Measure of demand for earthquake ground motions.” J. Struct. Eng., 123(4), 397–404.
Jennings, R. L., and Newmark, N. M. (1960). “Elastic response of multi-story shear beam type structures subjected to strong ground motion.” Proc., 2nd World Conf. on Earthquake Engineering, Vol. II, Science Council of Japan, Tokyo, 699–717.
Khan, F. R., and Sbarounis, J. A. (1964). “Interaction of shear walls and frames.” J. Struct. Div. ASCE 90(3), 285–335.
Kim, J., and Collins, K. R. (2002). “Closer look at the drift demand spectrum.” J. Struct. Eng. 128(7), 942–945.
Miranda, E. (1999). “Approximate lateral deformation demands in multistory buildings.” J. Struct. Eng., 125(4), 417–425.
Miranda, E., and Reyes, C. J. (2002). “Approximate lateral drift demands in multi-story buildings with nonuniform stiffness.” J. Struct. Eng., 128(7), 840–849.
Miranda, E., and Taghavi, S. (2005). “Approximate floor acceleration demands in multistory buildings. I: Formulation.” J. Struct. Eng., 131(2), 203–211.
Moehle, J. P. (1984). “Strong monitor drift estimates for R/C structures.” J. Struct. Eng., 110(9), 1988–2001.
Moehle, J. P. (1994). “Seismic drift and its role in design.” Proc., 5th U.S.–Japan Workshop on the Improvement of Building Structural Design and Construction Practices, San Diego, 65–78.
Montes, R., and Rosenblueth, E. (1968). “Shears and overturning moments in chimneys.” Proc., 2nd Mexican Conf. on Earthquake Engineering, Mexican Society of Earthquake Engineering, Veracruz, Mexico.
Potzta, G., and Kollar, L. P. (2003). “Analysis of building structures by replacement sandwich beams.” Int. J. Solids Struct., 40(3), 535–553.
Qi, X., and Moehle, J. P. (1991). “Displacement design approach for reinforced concrete structures subjected to earthquakes.” Rep. EERC/UCB-91/02, Earthquake Engineering Research Center, Univ. of California at Berkeley, Berkeley, Calif.
Rinne, J. E. (1960). “Design criteria for shear and overturning moment.” Proc., 2nd World Conf. on Earthquake Engineering, Vol. III, Science Council of Japan, Tokyo.
Rosenblueth, E., Elorduy, J., and Mendoza, E. (1968). “Shears and overturning moments in shear buildings during earthquakes.” Proc., 2nd Mexican Conf. on Earthquake Engineering, Mexican Society of Earthquake Engineering, Veracruz, Mexico.
Rosman, R. (1967). “Laterally loaded systems consisting of walls and frames.” Tall buildings, Pergamon, New York.
Sozen, M. A. (1983). “Lateral drift of reinforced concrete structures subjected to strong ground motion.” Bull. New Zealand Natl. Soc. Earthquake Engineering, 16(2), 107–122.
Taghavi, S., and Miranda, E. (2005). “Approximate floor acceleration demands in multistory buildings. II: Applications.” J. Struct. Eng., 131(2), 212–220.
Traum, E., and Zalewski, W. P. (1970). “An analogy to the structural behavior of shear-wall systems.” J. Boston Soc. Civ. Eng., 57(4), 303–335.
Westergaard, H. M. (1933). “Earthquake-shock transmission in tall buildings.” Eng. News-Rec., 111, 654–656.
Zalka, K. A. (2000). “Stress analysis of buildings under horizontal load. Part I: Basic behaviour – deformations.” Proc. Inst. Civ. Eng., Struct. Build., 140(2), 179–186.
Information & Authors
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Published In
Journal of Structural Engineering
Volume 132 • Issue 6 • June 2006
Pages: 840 - 852
Copyright
© 2006 ASCE.
History
Received: May 3, 2004
Accepted: Sep 8, 2005
Published online: Jun 1, 2006
Published in print: Jun 2006
Notes
Note. Associate Editor: Rakesh K. Goel
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