STOCHASTIC LINEARIZATION METHOD WITH RANDOM PARAMETERS FOR SDOF NONLINEAR DYNAMICAL-SYSTEMS - PREDICTION AND IDENTIFICATION PROCEDURES

This paper describes firstly, the calculation of the Power Spectral De nsity Function (PSDF) for the stationary response of SDOF nonlinear se cond-order dynamical systems excited by a white or a broad-band Gaussi an noise, and secondly, the identification of a single-degree-of-freed om (SDOF) nonlinear dynamical second-order dynamical system driven by a broad-band or a colored Gaussian noise. The two aspects are based on the use of a stochastic linearization method with random parameters w hich is an efficient way of approximating the PSDF. The gain obtained by this method is shown on a SDOF nonlinear dynamical system. In addit ion, it is shown that the stochastic linearization method with random parameters is an efficient approach for identifying a SDOF nonlinear d ynamical system.