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Stochastic linearization method with random parameters for SDOF nonlinear dynamical systems: Prediction and identification procedures

Abstract : This paper describes firstly, the calculation of the Power Spectral Density Function (PSDF) for the stationary response of SDOF nonlinear second-order dynamical systems excited by a white or a broadband Gaussian noise, and secondly, the identification of a single-degree-of-freedom (SDOF) nonlinear dynamical second-order dynamical system driven by a broadband or a colored Gaussian noise. The two aspects are based on the use of a stochastic linearization method with random parameters which is an efficient way of approximating the PSDF. The gain obtained by this method is shown on a SDOF nonlinear dynamical system. In addition, it is shown that the stochastic linearization method with random parameters is an efficient approach for identifying a SDOF nonlinear dynamical system.
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Christian Soize. Stochastic linearization method with random parameters for SDOF nonlinear dynamical systems: Prediction and identification procedures. Probabilistic Engineering Mechanics, Elsevier, 1995, 10 (3), pp.143-152. ⟨10.1016/0266-8920(95)00011-M⟩. ⟨hal-00770288⟩

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