Calibration of the equivalent linearization gaussian approach applied to simple hysteretic systems subjected to narrow band seismic motions

A calibration of the equivalent linearization approach (EL) applied to simple hysteretic systems subjected to narrow band seismic motions is reported. The results obtained through this method are compared with those derived using the Monte Carlo simulation technique. An evaluation is presented of the influence of the ductility demand of the system, as well as of the degradation parameters, hardening ratio and smoothness of the hysteretic behavior on the accuracy of the EL approach. The computational efficiency of the approach is estimated for the cases analyzed.

[1]  Chin-Hsun Yeh,et al.  Modeling of nonstationary earthquake ground motion and biaxial and torsional response of inelastic structures , 1989 .

[2]  Wilfred D. Iwan,et al.  The stochastic response of strongly yielding systems , 1988 .

[3]  Stephen Barnett,et al.  Comparison of numerical methods for solving Liapunov matrix equations , 1972 .

[4]  G. Karami Lecture Notes in Engineering , 1989 .

[5]  Erik H. Vanmarcke,et al.  Strong-motion duration and RMS amplitude of earthquake records , 1980 .

[6]  Gerhart I. Schuëller,et al.  Probability densities of the response of nonlinear structures under stochastic dynamic excitation , 1989 .

[7]  Y. Wen Method for Random Vibration of Hysteretic Systems , 1976 .

[8]  Y. Wen Equivalent Linearization for Hysteretic Systems Under Random Excitation , 1980 .

[9]  Thomas T. Baber,et al.  Random Vibration Hysteretic, Degrading Systems , 1981 .

[10]  S. Utku,et al.  Stochastic linearization of multi‐degree‐of‐freedom non‐linear systems , 1976 .

[11]  C. S. Lu Solution of the matrix equation AX+XB = C , 1971 .

[12]  Y. J. Park,et al.  EQUIVALENT LINEARIZATION FOR SEISMIC RESPONSES. I: FORMULATION AND ERROR ANALYSIS , 1992 .

[13]  R. Bouc Forced Vibration of Mechanical Systems with Hysteresis , 1967 .

[14]  Richard H. Bartels,et al.  Algorithm 432 [C2]: Solution of the matrix equation AX + XB = C [F4] , 1972, Commun. ACM.

[15]  Ryoichiro Minai,et al.  Application of stochastic differential equations to seismic reliability analysis of hysteretic structures , 1988 .

[16]  Koichiro Asano,et al.  An alternative approach to the random response of bilinear hysteretic systems , 1984 .

[17]  Fabio Casciati,et al.  Fragility analysis of complex structural systems , 1991 .

[18]  E. D. Denman,et al.  A New Solution Method for the Lyapunov Matrix Equation , 1975 .

[19]  P. Spanos,et al.  Random vibration and statistical linearization , 1990 .