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

Christian Soize (1)

1 ONERA - The French Aerospace Lab [Châtillon]

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.

Mots clés: stochastic linearization; random parameter; SDOF nonlinear dynamical systems

Domaines: Mécanique [physics.med-ph]; Vibrations [physics.class-ph]; Probabilités [math.PR]

Christian Soize. Stochastic linearization method with random parameters for SDOF nonlinear dynamical systems: Prediction and identification procedures. Probabilistic Engineering Mechanics, 1995, 10 (3), pp.143-152. ⟨10.1016/0266-8920(95)00011-M⟩. ⟨hal-00770288⟩