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Application Of An Itô-Based Approximation Method To Random Vibration Of A Pinching Hysteretic System, Mohammad N. Noori, Mark D. Padua, Hamid Davoodi

Office of the Dean (CENG) Scholarship

In this paper, an extension of the Cumulant-Neglect closure scheme is utilized for the random vibration analysis of a single degree of freedom system with a general pinching hysteresis restoring force. The hysteresis element used in the system model can simulate commonly observed forms of stiffness, strength and pinching degradations. The second order statistics of the system response to a stationary Gaussian white noise input are derived using an Itô-based approximation technique. The validity of these response statistics are then verified by comparing them to Monte Carlo simulation results. The numerical studies performed for different combinations of degradation parameters and …