Stochastic averaging of Preisach hysteretic systems

Spanos, P.D., Cacciola, P. and Muscolino, G. (2004) Stochastic averaging of Preisach hysteretic systems Journal of Engineering Mechanics, 130 (11). pp. 1257-1267. ISSN 0733-9399

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The sustained progress in the study of the hysteretic behavior of structural and mechanical systems has led to the adoption of increasingly sophisticated and reliable mathematical representations. Models based on the distributed elements (hysterons) appear to be quite versatile. Among these, the Preisach hysteretic model has received considerable attention in the field of engineering mechanics. In this paper, the stochastic response of a Preisach hysteretic system driven by a white noise process is investigated. In this regard, the method of stochastic averaging is modified to be applicable for the determination of the probability density of the stationary system response envelope. Remarkably, this probability density expression in conjunction with the response of an auxiliary linear system can also be used to determine the power spectrum of the system response. The approximate theoretical solutions are validated by data derived by a pertinent Monte Carlo study.

Item Type:Journal article
Uncontrolled Keywords:Stochastic processes, Random vibration, Monte Carlo method, Hysteretic systems
Subjects:H000 Engineering > H200 Civil Engineering > H210 Structural Engineering
H000 Engineering > H200 Civil Engineering
DOI (a stable link to the resource):10.1061/(ASCE)0733-9399(2004)130:11(1257)
Faculties:Faculty of Science and Engineering > School of Environment and Technology > Ground water and structural engineering
Faculty of Science and Engineering > School of Environment and Technology
ID Code:5927
Deposited By:editor environment
Deposited On:17 Sep 2009
Last Modified:03 May 2012 10:59

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