Nonstationary Random Critical Excitation for Acceleration Response

The critical excitation method is promising as a robust method for accounting for inherent uncertainties in predicting forthcoming earthquake events and for constructing design earthquake ground motions in a reasonable way. Most of the proposed theories are based on deterministic approaches and deal with displacement responses. A stochastic acceleration response index is treated here as the objective function to be maximized. The power (area of power spectral density function) and the intensity (magnitude of power spectral density function) are fixed and the critical excitation is found under these restrictions. It is shown that the original idea for stationary random inputs can be utilized effectively in the procedure for finding a critical excitation for nonstationary acceleration responses of nonproportionally damped structural systems. Several numerical examples are presented to demonstrate the characteristics of generalized time-varying frequency response functions for models with various stiffness and damping distributions.

[1]  Rudolf F. Drenick,et al.  Model-Free Design of Aseismic Structures , 1970 .

[2]  C. S. Manohar,et al.  CRITICAL SEISMIC VECTOR RANDOM EXCITATIONS FOR MULTIPLY SUPPORTED STRUCTURES , 1998 .

[3]  Izuru Takewaki,et al.  Optimal damper placement for critical excitation , 2000 .

[4]  Chris P. Pantelides,et al.  Convex models for impulsive response of structures , 1996 .

[5]  Richard J. Balling,et al.  The use of optimization to construct critical accelerograms for given structures and sites , 1988 .

[6]  Ross B. Corotis,et al.  Critical Base Excitations of Structural Systems , 1991 .

[7]  Yakov Ben-Haim,et al.  Maximum Structural Response Using Convex Models , 1996 .

[8]  Chung Bang Yun,et al.  Reliability of Seismic Resistance Predictions , 1979 .

[9]  Joel P. Conte,et al.  Fully nonstationary analytical earthquake ground-motion model , 1997 .

[10]  C. S. Manohar,et al.  Critical earthquake input power spectral density function models for engineering structures , 1995 .

[11]  Rudolf F. Drenick.  A SEISMIC DESIGN BY WAY OF CRITICAL EXITATION , 1973 .

[12]  Masanobu Shinozuka,et al.  A generalization of the Drenick-Shinozuka model for bounds on the seismic response of a single-degree-of-freedom system , 1998 .

[13]  R. N. Iyengar,et al.  Nonstationary Random Critical Seismic Excitations , 1987 .

[14]  Ping-chun Wang,et al.  Seismic Assessment of High-Rise Buildings , 1978 .

[15]  Izuru Takewaki.  A NONSTATIONARY RANDOM CRITICAL EXCITATION METHOD FOR MDOF LINEAR STRUCTURAL MODELS , 2000 .

[16]  Izuru Takewaki,et al.  A new method for non‐stationary random critical excitation , 2001 .

[17]  Goodraz Ahmadi,et al.  On the Application of the Critical Excitation Method to Aseismic Design , 1979 .

[18]  Chung Bang Yun,et al.  Site‐dependent critical design spectra , 1979 .

[19]  Ewald Heer,et al.  Maximum Dynamic Response and Proof Testing , 1971 .

[20]  I. Elishakoff,et al.  Convex models of uncertainty in applied mechanics , 1990 .

[21]  Ross B. Corotis,et al.  Generation of critical stochastic earthquakes , 1992 .

[22]  R. F. Drenick,et al.  The Critical Excitation of Nonlinear Systems , 1977 .

[23]  R. Narayana Iyengar,et al.  Worst inputs and a bound on the highest peak statistics of a class of non-linear systems , 1972 .

[24]  A. Papoulis,et al.  Maximum response with input energy constraints and the matched filter principle , 1970 .

[25]  A. Papoulis.  Limits on bandlimited signals , 1967 .

[26]  Masanobu Shinozuka,et al.  Maximum Structural Response to Seismic Excitations , 1970 .

[27]  Chris P. Pantelides,et al.  CONVEX MODEL FOR SEISMIC DESIGN OF STRUCTURES—I: ANALYSIS , 1996 .

[28]  T. Fang,et al.  A unified approach to two types of evolutionary random response problems in engineering , 1997 .