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

Abstract : 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.
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https://hal-upec-upem.archives-ouvertes.fr/hal-00770028
Contributor : Christian Soize <>
Submitted on : Friday, January 4, 2013 - 11:34:58 AM
Last modification on : Friday, June 26, 2020 - 2:00:04 PM
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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, Brazilian Society of Mechanical Sciences, 1997, XIX (2), pp.207-216. ⟨hal-00770028⟩

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