Grey-box state-space identification of nonlinear mechanical vibrations
Abstract
The present paper deals with the identification of nonlinear mechanical vibrations. A grey-box, or semi-physical, nonlinear state-space representation is introduced, expressing the nonlinear basis functions using a limited number of measured output variables. This representation assumes that the observed nonlinearities are localised in physical space, which is a generic case in mechanics. A two-step identification procedure is derived for the grey-box model parameters, integrating nonlinear subspace initialisation and weighted least-squares optimisation. The complete procedure is applied to an electrical circuit mimicking the behaviour of a single-input, single-output (SISO) nonlinear mechanical system and to a single-input, multiple-output (SIMO) geometrically nonlinear beam structure.
Cite
@article{arxiv.1804.10758,
title = {Grey-box state-space identification of nonlinear mechanical vibrations},
author = {Jean-Philippe Noël and Johan Schoukens},
journal= {arXiv preprint arXiv:1804.10758},
year = {2018}
}