In the present paper, a flexible and parsimonious model of the vibrations of nonlinear mechanical systems is introduced in the form of state-space equations. It is shown that the nonlinear model terms can be formed using a limited number of output measurements. A two-step identification procedure is derived for this grey-box model, integrating nonlinear subspace initialisation and maximum likelihood optimisation. The complete procedure is demonstrated on the Silverbox benchmark, which is an electrical mimicry of a single-degree-of-freedom mechanical system with one displacement-dependent nonlinearity.
Cite
@article{arxiv.1610.09145,
title = {Grey-box nonlinear state-space modelling for mechanical vibrations identification},
author = {Jean-Philippe Noël and Johan Schoukens and Gaetan Kerschen},
journal= {arXiv preprint arXiv:1610.09145},
year = {2016}
}
Comments
Presented at the 17th IFAC Symposium on System Identification SYSID 2015 - Beijing, China, 19-21 October 2015