Non-Gaussian Response Analysis of Degrading Hysteretic System Subjected to White Noise Excitation

概要

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An approximate analytical method is developed to calculate the response distribution of a single DOF degrading bilinear hysteretic system subjected to white noise excitation. The degrading hysteretic characteristic is described by an additional state variable and newly introduced degrading parameters, which are time varying and expressed in terms of the dissipated energy. When the degrading occurs, the parameters of the hysteretic characteristic become the random processes because the dissipated energy is the function of the responses. The proposed analytical method consists of the equivalent linearization, the moment equations and assumption of the probability density functions of the dissipated energy, the degrading parameters and the responses. The probability density function of the dissipated energy is approximated by the Weibull distribution and used to derive that of the degrading parameters. The probability density function of the responses are extended from the one which has been developed for the non-degrading bilinear hysteretic system. The rms responses and the probability density functions of the stochastic responses are obtained and compared with the Monte Carlo simulation results.
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