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R. Iyengar, C. Manohar (1987)
Nonstationary Random Critical Seismic ExcitationsJournal of Engineering Mechanics-asce, 113
E. Dowell (1984)
Asymptotic modal analysis and statistical energy analysis of dynamical systemsJournal of the Acoustical Society of America, 75
I. Takewaki (2004)
Frequency domain modal analysis of earthquake input energy to highly damped passive control structuresEarthquake Engineering & Structural Dynamics, 33
M. Trifunac, T. Hao, M. Todorovska (2001)
On Energy Flow in Earthquake Response
M. Ordaz, Benjamín Huerta, E. Reinoso (2003)
Exact computation of input‐energy spectra from Fourier amplitude spectraEarthquake Engineering & Structural Dynamics, 32
(1975)
“ The capacity of extreme earthquake motions to damage structures ”
J. Conte, B. Peng (1997)
Fully nonstationary analytical earthquake ground-motion modelJournal of Engineering Mechanics-asce, 123
H. Kuwamura, Takuya Takeda, Yoshinari Sato (1997)
ENERGY INPUT RATE IN EARTHQUAKE DESTRUCTIVENESS : Comparison between epicentral and oceanic earthquakesJournal of Structural and Construction Engineering (transactions of Aij), 62
M. Austin, Wane-Jang Lin (2004)
Energy Balance Assessment of Base-Isolated StructuresJournal of Engineering Mechanics-asce, 130
C. Uang, V. Bertero (1990)
Evaluation of seismic energy in structuresEarthquake Engineering & Structural Dynamics, 19
(1975)
The capacity of extreme earthquake motions to damage structures”, Structural and Geotechnical Mechanics: a Volume Honoring N. M. Newmark, edited by W.J
T. Fang, M. Sun (1997)
A unified approach to two types of evolutionary random response problems in engineeringArchive of Applied Mechanics, 67
I. Takewaki (2000)
Optimal damper placement for critical excitationProbabilistic Engineering Mechanics, 15
A. Abbas, C. Manohar (2002)
Investigations into critical earthquake load models within deterministic and probabilistic frameworksEarthquake Engineering & Structural Dynamics, 31
C. Page (1952)
Instantaneous Power SpectraJournal of Applied Physics, 23
I. Takewaki (2001)
Nonstationary Random Critical Excitation for Acceleration ResponseJournal of Engineering Mechanics-asce, 127
I. Takewaki (2001)
Resonance and criticality measure of ground motions via probabilistic critical excitation methodSoil Dynamics and Earthquake Engineering, 21
G. Housner (1959)
Behavior of Structures During Earthquakes
G. Housner (1956)
Limit Design of Structures to Resist Earthquakes
I. Takewaki (2001)
Nonstationary random critical excitation for nonproportionally damped structural systemsComputer Methods in Applied Mechanics and Engineering, 190
M. Shinozuka, Y. Sato (1967)
Simulation of Nonstationary Random ProcessJournal of Engineering Mechanics-asce, 94
R. Drenick (1970)
Model-Free Design of Aseismic StructuresJournal of Engineering Mechanics-asce, 96
L. Lutes, S. Sarkani (1996)
Stochastic analysis of structural and mechanical vibrations
I. Takewaki (2005)
Closure to “Bound of Earthquake Input Energy” by Izuru TakewakiJournal of Structural Engineering-asce, 131
I. Takewaki (2005)
Bound of earthquake input energy to soil–structure interaction systemsSoil Dynamics and Earthquake Engineering, 25
I. Takewaki (2001)
A new method for non‐stationary random critical excitationEarthquake Engineering & Structural Dynamics, 30
I. Takewaki (2002)
Critical excitation for elastic-plastic structures via statistical equivalent linearizationProbabilistic Engineering Mechanics, 17
I. Takewaki, H. Fujimoto (2004)
Earthquake Input Energy to Soil-Structure Interaction Systems: A Frequency-Domain ApproachAdvances in Structural Engineering, 7
M. Shinozuka (1970)
Maximum Structural Response to Seismic ExcitationsJournal of Engineering Mechanics-asce, 96
I. Takewaki (2004)
BOUND OF EARTHQUAKE INPUT ENERGYJournal of Structural Engineering-asce, 130
I. Takewaki (2004)
Critical Envelope Function for Nonstationary Random Earthquake Input
N. Nigam (1983)
Introduction to Random Vibrations
K. Ohi, K. Takanashi, Yasuaki Honma (1991)
ENERGY INPUT RATE SPECTRA OF EARTHQUAKE GROUND MOTIONSJournal of Structural and Construction Engineering (transactions of Aij), 420
I. Takewaki (2002)
Seismic Critical Excitation Method for Robust Design: A ReviewJournal of Structural Engineering-asce, 128
I. Takewaki (2001)
Probabilistic critical excitation for MDOF elastic–plastic structures on compliant groundEarthquake Engineering & Structural Dynamics, 30
H. Kuwamura, J. Iyama, Takuya Takeda (1997)
ENERGY INPUT RATE OF EARTHQUAKE GROUND MOTION : Matching of displacement theory and energy theoryJournal of Structural and Construction Engineering (transactions of Aij), 62
秋山 宏 (1985)
Earthquake-resistant limit-state design for buildings
C. Manohar, A. Sarkar (1995)
Critical earthquake input power spectral density function models for engineering structuresEarthquake Engineering & Structural Dynamics, 24
Possible realization of earthquake ground motion and its effects on structures are very uncertain even with the accumulated knowledge. It is therefore desirable to develop a robust structural design method taking into account these uncertainties. Under these circumstances worst excitation approaches have been proven to be promising. A new worst-case analysis method is developed here in which the mean value of the earthquake energy input rate is chosen as a measure of criticality. The concepts of statistical input energy and statistical input rate are new directions. The non-stationary ground motion is described as a uniformly modulated nonstationary random process. The power and the intensity of the input ground motion are bounded and the worst excitation is found under these restrictions. The key for solving the problem is the interchange of the order of the double maximization procedures with respect to time and to the power spectral density function. It is further shown that the formulation in single-degree-of-freedom models can be extended to multi-degree-of-freedom models with proportional damping. Examples for a specific envelope function of the non-stationary ground motion are presented in single and multi-degree-of-freedom models for demonstrating the validity of the method.
Advances in Structural Engineering – SAGE
Published: Jun 1, 2006
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