Bound of Earthquake Input Energy
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Volume 130, Issue 9
Abstract
A new general critical excitation method is developed for a damped linear elastic single-degree-of-freedom structure. In contrast to previous studies considering amplitude nonstationarity only, no special constraint of input motions is needed on nonstationarity. The input energy to the structure during an earthquake is introduced as a new measure of criticality. It is shown that the formulation of earthquake input energy in the frequency domain is essential for solving the critical excitation problem and deriving a bound on the earthquake input energy for a class of ground motions. It is remarkable that no mathematical programming technique is required in the solution procedure. This enables structural engineers to use the method in their structural design practice without difficulty. The constancy of earthquake input energy for various natural periods and damping ratios is discussed based on an original sophisticated mathematical treatment. Through numerical examinations for four classes of recorded ground motions, the bounds under acceleration and velocity constraints (time integral of the squared base acceleration and time integral of the squared base velocity) are clarified to be meaningful in the short and intermediate/long natural period ranges, respectively.
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References
Abrahamson, N., Ashford, S., Elgamal, A., Kramer, S., Seible, F., and Somerville, P. (1998). Proc., 1st PEER Workshop on Characterization of Special Source Effects, San Diego.
Akiyama, H. (1985). Earthquake resistant limit-state design for buildings, Univ. of Tokyo Press, Tokyo.
Anderson, J. C., and Bertero, V. V.(1987). “Uncertainties in establishing design earthquakes.” J. Struct. Eng., 113(8), 1709–1724.
Arias, A. (1970). “A measure of earthquake intensity.” Seismic design for nuclear power plants, R. J. Hansen, ed., MIT Press, Cambridge, Mass., 438–469.
Berg, G. V., and Thomaides, T. T. (1960). “Energy consumption by structures in strong-motion earthquakes.” Proc., 2nd World Conf. on Earthquake Engineering, Tokyo and Kyoto, Japan, 681–696.
Drenick, R. F.(1970). “Model-free design of aseismic structures.” J. Eng. Mech. Div., 96(4), 483–493.
Fajfar, P., and Vidic, T.(1994). “Consistent inelastic design spectra: Hysteretic and input energy.” Earthquake Eng. Struct. Dyn., 23(5), 523–537.
Geller, R. J., Jackson, D. D., Kagan, Y. Y., and Mulargia, F.(1997). “Earthquakes cannot be predicted.” Science, 275, 1616–1616.
Goel, S. C., and Berg, G. V.(1968). “Inelastic earthquake response of tall steel frames.” J. Struct. Div., ASCE 94, 1907–1934.
Housner, G. W. (1956). “Limit design of structures to resist earthquakes.” Proc., 1st World Conf. on Earthquake Engineering, Berkeley, Calif., 5:1–5:11.
Housner, G. W.(1959). “Behavior of structures during earthquakes.” J. Eng. Mech. Div., 85(4), 109–129.
Housner, G. W. (1975). “Measures of severity of earthquake ground shaking.” Proc. US National Conf. on Earthquake Engineering, Ann Arbor, Mich., 25–33.
Housner, G. W., and Jennings, P. C. (1975). “The capacity of extreme earthquake motions to damage structures.” Structural and geotechnical mechanics: A volume honoring N. M. Newmark, W. J. Hall, ed., Prentice–Hall, Englewood Cliffs, N.J., 102–116.
Hudson, D. E.(1962). “Some problems in the application of spectrum techniques to strong-motion earthquake analysis.” Bull. Seismol. Soc. Am., 52, 417–430.
Kato, B., and Akiyama, H.(1975). “Energy input and damages in structures subjected to severe earthquakes.” J. Struct. Constr. Eng., 235, 9–18 (in Japanese).
Krawinkler, H., Medina, R., and Alavi, B. (2001). “Seismic drift and ductility demands and their dependence on ground motions.” Proc., US–Japan Seminar on Advanced Stability and Seismicity Concepts for Performance-Based Design of Steel and Composite Structures, Kyoto, Japan.
Kuwamura, H., Kirino, Y., and Akiyama, H.(1994). “Prediction of earthquake energy input from smoothed Fourier amplitude spectrum.” Earthquake Eng. Struct. Dyn., 23, 1125–1137.
Leger, P., and Dussault, S.(1992). “Seismic-energy dissipation in MDOF structures.” J. Struct. Eng., 118(5), 1251–1269.
Lyon, R. H. (1975). Statistical energy analysis of dynamical systems, MIT Press, Cambridge, Mass.
Mahin, S. A., and Lin, J. (1983). “Construction of inelastic response spectrum for single-degree-of-freedom system.” Rep. No. UCB/EERC-83/17, Earthquake Engineering Research Center, Univ. of California, Berkeley, Calif.
Ogawa, K., Inoue, K., and Nakashima, M.(2000). “A study on earthquake input energy causing damages in structures.” J. Struct. Constr. Eng., 530, 177–184 (in Japanese).
Ohi, K., Takanashi, K., and Tanaka, H.(1985). “A simple method to estimate the statistical parameters of energy input to structures during earthquakes.” J. Struct. Constr. Eng., 347, 47–55 (in Japanese).
Ordaz, M., Huerta, B., and Reinoso, E.(2003). “Exact computation of input-energy spectra from Fourier amplitude spectra.” Earthquake Eng. Struct. Dyn., 32, 597–605.
Page, C. H.(1952). “Instantaneous power spectra.” J. Appl. Phys., 23(1), 103–106.
PEER Center, ATC, Japan Ministry of Education, Science, Sports, and Culture, US-NSF (2000). “Effects of near-field earthquake shaking.” Proc., US–Japan Workshop, San Francisco.
Riddell, R., and Garcia, J. E.(2001). “Hysteretic energy spectrum and damage control.” Earthquake Eng. Struct. Dyn., 30, 1791–1816.
Shinozuka, M.(1970). “Maximum structural response to seismic excitations.” J. Eng. Mech. Div., 96(5), 729–738.
Singh, J. P. (1984). “Characteristics of near-field ground motion and their importance in building design.” ATC-10-1 Critical aspects of earthquake ground motion and building damage potential, ATC, 23–42.
Stein, R. S.(2003). “Earthquake conversations.” Sci. Am., 288(1), 72–79.
Takewaki, I.(2001a). “A new method for nonstationary random critical excitation.” Earthquake Eng. Struct. Dyn., 30(4), 519–535.
Takewaki, I.(2001b). “Probabilistic critical excitation for MDOF elastic-plastic structures on compliant ground.” Earthquake Eng. Struct. Dyn., 30(9), 1345–1360.
Takewaki, I.(2002b). “Robust building stiffness design for variable critical excitations.” J. Struct. Eng., 128(12), 1565–1574.
Takewaki, I.(2002a). “Seismic critical excitation method for robust design: A review.” J. Struct. Eng., 128(5), 665–672.
Takizawa, H. (1977). “Energy-response spectrum of earthquake ground motions.” Proc., 14th Natural Disaster Science Symp., Hokkaido, Japan, 359–362 (in Japanese).
Tanabashi, R.(1935). “Personal view on destructiveness of earthquake ground motions and building seismic resistance.” J. Archit. Build. Sci., 48, 599 (in Japanese).
Tanabashi, R. (1956). “Studies on the nonlinear vibrations of structures subjected to destructive earthquakes.” Proc., 1st World Conf. on Earthquake Engineering, Berkeley, Calif., 6:1–6:16.
Uang, C. M., and Bertero, V. V.(1990). “Evaluation of seismic energy in structures.” Earthquake Eng. Struct. Dyn., 19, 77–90.
Westermo, B. D.(1985). “The critical excitation and response of simple dynamic systems.” J. Sound Vib., 100(2), 233–242.
Zahrah, T. F., and Hall, W. J.(1984). “Earthquake energy absorption in SDOF structures.” J. Struct. Eng., 110(8), 1757–1772.
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Published In
Journal of Structural Engineering
Volume 130 • Issue 9 • September 2004
Pages: 1289 - 1297
Copyright
Copyright © 2004 American Society of Civil Engineers.
History
Received: Mar 25, 2003
Accepted: Sep 8, 2003
Published online: Aug 16, 2004
Published in print: Sep 2004
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