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Article Dans Une Revue Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science Année : 2016

Repeated exponential sine sweeps for the autonomous estimation of nonlinearities and bootstrap assessment of uncertainties

Résumé

Measurements on vibrating structures has been a topic of interest for decades. Vibrating structures are however generally assumed to behave linearly and in a noise-free environment, which is not the case in practice. This paper provides a methodology that allows for the autonomous estimation of nonlinearities and assessment of uncertainties by bootstrap on a given vibrating structure. Nonlinearities are estimated by means of a block-oriented nonlinear model approach based on parallel Hammerstein models and on exponential sine sweeps. Estimation uncertainties are simultaneously assessed using repetitions of the input signal (multi-sine sweeps) as the input of a bootstrap procedure. Mathematical foundations and a practical implementation of the method are discussed using an experimental example. The experiment chosen here consists in exciting a steel plate under various boundary conditions with exponential sine sweeps and at different levels in order to assess the evolution of nonlinearities and uncertainties over a wide range of frequencies and input amplitudes.
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Dates et versions

hal-01253861 , version 1 (11-01-2016)

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Marc Rebillat, Kerem Ege, Maxime Gallo, Jérôme Antoni. Repeated exponential sine sweeps for the autonomous estimation of nonlinearities and bootstrap assessment of uncertainties. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2016, 230 (6), pp.1007-1018. ⟨10.1177/0954406215620685⟩. ⟨hal-01253861⟩
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