Application of an Itô-based approximation method to random vibration of a pinching hysteretic system |
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Authors: | Mohammad N Noori Mark D Padula Hamid Davoodi |
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Institution: | (1) Department of Mechanical Engineering, Worcester Polytechnic Institute, 01609 Worcester, MA, U.S.A.;(2) GTE Government Systems Corporation, 02194 Needham, MA, U.S.A.;(3) Department of Mechanical Engineering, University of Puerto Rico, PR 00708 Mayaguez, Puerto Rico |
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Abstract: | 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 excitation levels show that the response estimates obtained by this solution method are in good agreement with Monte Carlo simulation. These studies also indicate the applicability of this technique for response analysis of complicated forms of non-linearities. |
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Keywords: | Pinching hysterosis Itô random vibrations |
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