Abstract

A thorough non-Gaussian stationary analysis of a nondimensionalized form of a Bouc-Wen-Baber smooth hysteresis model is presented. Stationary moments of up to 6th order are generated via 3000 sample Monte Carlo simulation in order to assess the convergence of the non-Gaussian response statistics. The degree of deviation from Gaussian response is assessed by comparison of the simulated probability density functions of various response variables with a corresponding unit normal density function. The effect of variation of hysteresis shape control parameters and other important system and excitation parameters, such as the postyield to preyield stiffness ratio, and power spectral density level on response coordinate moments of various orders is studied. The effect of these parameters on correlation coefficients, probability density of the displacement, and other statistical indices are thoroughly studied. This study provides considerable insight about the range of important system and excitation parameters influencing system response. These information on the characteristic behaviors of BWB hysteresis model is useful for non-Gaussian analysis of MDOF hysteresis models and comparative studies with approximation techniques.

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