Stochastic linearization method with random parameters for SDOF nonlinear dynamical systems: Prediction and identification procedures
Soize, Christian
HAL, hal-00770288 / Harvested from HAL
Text on HAL
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.
Publié le : 1995-07-05
Classification:  SDOF nonlinear dynamical systems,  random parameter,  stochastic linearization,  [SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph],  [PHYS.MECA.VIBR]Physics [physics]/Mechanics [physics]/Vibrations [physics.class-ph],  [MATH.MATH-PR]Mathematics [math]/Probability [math.PR] 
@article{hal-00770288,
     author = {Soize, Christian},
     title = {Stochastic linearization method with random parameters for SDOF nonlinear dynamical systems: Prediction and identification procedures},
     journal = {HAL},
     volume = {1995},
     number = {0},
     year = {1995},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00770288}
}

Soize, Christian. Stochastic linearization method with random parameters for SDOF nonlinear dynamical systems: Prediction and identification procedures. HAL, Tome 1995 (1995) no. 0, . http://gdmltest.u-ga.fr/item/hal-00770288/