Critical Base Excitations of Structural Systems
Publication: Journal of Engineering Mechanics
Volume 117, Issue 6
Abstract
A critical excitation is one that maximizes chosen response quantities subject to constraints related to duration and energy imposed on the excitation. A study of the response of single‐ and multi‐degree‐of‐freedom systems subjected to critical base excitations is presented. The effect of damping and duration of excitation on the peak response is studied. The critical peak relative displacement, relative velocity, and absolute acceleration are related to one another in the same manner as the spectral displacement, velocity, and acceleration are related in earthquake response spectra. Objective functionals for maximizing response of multi‐degree‐of‐freedom systems are developed. Examples illustrating system behavior are included, and a comparison is made of peak critical response with peak responses from a strong‐motion earthquake.
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References
1.
Abdelrahman, A. M., Yun, C. B., and Wang, P. C. (1978). “Subcritical excitation and dynamic response of structures in frequency domain.” Comput. Struct., 10(2), 761–771.
2.
Arias, A. (1970). “A measure of earthquake intensity.” Seismic design for nuclear power plants, R. J. Hansen, ed., Massachusetts Institute of Technology, Cambridge, Mass.
3.
Clough, R. W., and Penzien, J. (1975). Dynamics of structures. McGraw‐Hill International, New York, N.Y.
4.
Drenick, R. F. (1970). “Model‐free design of aseismic structures.” J. Engrg. Mech., ASCE, 96(4), 483–493.
5.
Drenick, R. F. (1973). “Aseismic design by way of critical excitation.” J. Engrg. Mech., ASCE, 99(4), 649–667.
6.
Drenick, R. F. (1977). “The critical excitation of nonlinear systems.” J. Appl. Mech., ASME, 44, 333–336.
7.
Hudson, D. E. (1979). Reading and interpreting strong motion accelerograms. Earthquake Engineering Research Institute Monograph, Berkeley, Calif.
8.
Iyengar, R. N. (1973). “Worst inputs and a bound on the highest peak statistics of a class of nonlinear systems.” J. Sound Vib., 25, 29–37.
9.
Iyengar, R. N., and Manohar, C. S. (1985). “System dependent critical stochastic seismic excitations.” Proc. Eighth Int. Conf. on Struct. Mech. in Reactor Tech.
10.
Iyengar, R. N., and Manohar, C. S. (1987). “Nonstationary random critical seismic excitations.” J. Engrg. Mech., ASCE, 113(4), 529–541.
11.
Jerri Abdul, A. (1985). Introduction to integral equations with applications. Marcel Dekker, New York, N.Y.
12.
Newmark, N., and Rosenblueth, E. (1971). Fundamentals of earthquake engineering. Prentice‐Hall, Englewood Cliffs, N.J.
13.
Shinozuka, M. (1970). “Maximum structural response to seismic excitations.” J. Engrg. Mech., ASCE, 96(5), 729–738.
14.
Sokolnikoff, I. S., and Redheffer, R. M. (1958). Mathematics of physics and modern engineering. McGraw‐Hill, New York, N.Y.
15.
Srinivasan, M. (1989). “Critical excitations of structural systems,” thesis presented to The Johns Hopkins University, at Baltimore, Md., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
16.
Wang, P. C., Drenick, R. F., and Wang, W. (1978). “Seismic assessment of highrise buildings.” J. Engrg. Mech., ASCE, 104(2), 441–456.
17.
Wang, P. C., and Yun, C. B. (1979). “Site dependent critical design spectra.” Earthquake Engrg. Struct. Dyn., 7(5), 569–578.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 117 • Issue 6 • June 1991
Pages: 1403 - 1422
Copyright
Copyright © 1991 ASCE.
History
Published online: Jun 1, 1991
Published in print: Jun 1991
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