Seismic Critical Excitation Method for Robust Design: A Review

A critical review of methods for critical excitation (worst-case input) is presented to enhance the robustness of structural design of aerospace, mechanical, and civil engineering structures. These structures are often subjected to disturbances including inherent uncertainties due mainly to their occurrence scarcity and worst-case analysis is expected to play an important role in avoiding difficulties induced by such uncertainties. During the last three decades, various critical excitation methods have been proposed extensively and applied to some structural design problems, mainly for important structures of which the failure or collapse must be absolutely avoided. Comparison of the critical responses with the corresponding structural responses to recorded ground motions, deterministic or stochastic treatment, elastic or elastic-plastic responses, system-dependent critical excitations are major subjects of discussion.

[1]  Izuru Takewaki,et al.  A NEW PROBABILISTIC CRITICAL EXCITATION METHOD , 2000 .

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

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

[4]  R. Narayana Iyengar Critical Seismic Excitation for Structures , 1990 .

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

[6]  Bruce D. Westermo The critical excitation and response of simple dynamic systems , 1985 .

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

[8]  Chung Bang Yun,et al.  Subcritical excitation and dynamic response of structures in frequency domain , 1979 .

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

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

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

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

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

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

[15]  Izuru Takewaki MAXIMUM GLOBAL PERFORMANCE DESIGN FOR VARIABLE CRITICAL EXCITATIONS , 2001 .

[16]  Izuru Takewaki,et al.  Probabilistic critical excitation for MDOF elastic–plastic structures on compliant ground , 2001 .

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

[18]  R. F. Drenick,et al.  Comments on “Worst inputs and a bound on the highest peak statistics of a class of non-linear systems” , 1975 .

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

[20]  Vitelmo V. Bertero,et al.  Uncertainties in Establishing Design Earthquakes , 1987 .

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

[22]  Izuru Takewaki,et al.  Critical excitation for elastic-plastic structures via statistical equivalent linearization , 2002 .

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

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

[25]  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 .

[26]  R. F. Drenick,et al.  Critical excitation method for calculating earthquake effects on nuclear plant structures: an assessment study. Technical report , 1980 .

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

[28]  Chris P. Pantelides,et al.  CONVEX MODEL FOR SEISMIC DESIGN OF STRUCTURES—II: DESIGN OF CONVENTIONAL AND ACTIVE STRUCTURES , 1996 .

[29]  Chung Bang Yun,et al.  Critical seismic response of nuclear reactors , 1980 .

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

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

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

[33]  Izuru Takewaki Nonstationary random critical excitation for nonproportionally damped structural systems , 2001 .

[34]  C. S. Manohar,et al.  CRITICAL CROSS POWER SPECTRAL DENSITY FUNCTIONS AND THE HIGHEST RESPONSE OF MULTI-SUPPORTED STRUCTURES SUBJECTED TO MULTI-COMPONENT EARTHQUAKE EXCITATIONS , 1996 .

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

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

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

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

[39]  Izuru Takewaki Nonstationary Random Critical Excitation for Acceleration Response , 2001 .

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

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

[42]  A. J. Philippacopoulos,et al.  Seismic Inputs for Nonlinear Structures , 1984 .

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