Weakly nonlinear second-order dynamical systems identification using a random parameters linear model

Christian Soize (1) , O. Le Fur (1)

1 ONERA - The French Aerospace Lab [Châtillon]

The objective of this paper is to present an identification procedure which is based on the use of a stochastic linearization method with random coefficients. The model is then defined as a multidimensional linear second-order dynamical system with random coefficients. An optimization procedure is developed to identify the parameters of the probability law of the random coefficients. The identification procedure is described step by step. Finally, an example is presented and shows the interest of the method proposed.

Mots clés: nonlinear dynamical system; identification; random parameters

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

Christian Soize, O. Le Fur. Weakly nonlinear second-order dynamical systems identification using a random parameters linear model. Journal of the Brazilian Society of Mechanical Sciences, 1997, XIX (2), pp.207-216. ⟨hal-00770028⟩