Stochastic linearization of systems with hysteretic characteristics


  • Ovidiu Solomon
  • Ana Maria Mitu
  • Marius Giuclea


stochastic linearization, hysteretic characteristic, random excitation, Bouc-Wen model


In this paper is presented a linearization method for a stochastic differential system with hysteretic characteristics and random excitation. The Gaussian equivalent linearization technique is applied to a system with hysteretic characteristic modeled by a Bouc-Wen equation. In order to verify the efficiency of the linearization method, the standard deviations of the equivalent linear system response are compared with those of Bouc-Wen nonlinear system for two case studies: Gaussian white noise and seismic inputs.


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