Repeated exponential sine sweeps for the autonomous estimation of nonlinearities and bootstrap assessment of uncertainties
Article dans une revue avec comité de lecture
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.
Files in this item
Showing items related by title, author, creator and subject.
A multi-sine sweep method for the characterization of weak non-linearities ; plant noise and variability estimation. Communication avec acteGALLO, Maxime; EGE, Kerem; REBILLAT, Marc; ANTONI, Jérôme (2015)Weak non-linearities in vibrating structures can be characterized by a signal-model approach based on cascade of Hammerstein models. The experiment consists in exciting a device with a sine sweep at different levels, in ...
Exponential sine sweeps for the autonomous estimation of nonlinearities and errors assessment by bootstrap Application to thin vibrating structures Article dans une revue avec comité de lectureREBILLAT, Marc; EGE, Kerem; GALLO, Maxime; ANTONI, Jérôme (American Society of Mechanical Engineers, 2015)Vibrating structures are generally assumed to behave linearly and in a noise-free environment. This is in practice not perfectly the case. First, nonlinear phenomena such as jump phenomenon, hysteresis or internal resonance ...
Repeated exponential sine sweeps for the autonomous estimation of nonlinearities and bootstrap assessment of uncertainties Communication sans acteREBILLAT, Marc; EGE, Kerem; MECHBAL, Nazih; ANTONI, Jérôme (2016)Systems and structures are generally assumed to behave linearly and in a noise-free environment. This is in practice not perfectly the case. First, nonlinear phenomena can appear and second, the presence of noise is ...
Vibroacoustics of the piano soundboard : (Non)linearity and modal properties in the low- and mid-frequency ranges Article dans une revue avec comité de lectureEGE, Kerem; BOUTILLON, Xavier; REBILLAT, Marc (Elsevier, 2013)The piano soundboard transforms the string vibration into sound and therefore, its vibrations are of primary importance for the sound characteristics of the instrument. An original vibro-acoustical method is presented to ...
Article dans une revue avec comité de lectureHEILIGENSTEIN, Xavier; HEILIGENSTEIN, Jérôme; DELEVOYE, Cédric; HURBAIN, Ilse; BARDIN, Sabine; PERRINE, Paul-Gilloteaux; SENGMANIVONG, Lucie; RÉGNIER, Gilles; SALAMERO, Jean; ANTONY, Claude; RAPOSO, Graca (Wiley, 2014)Correlating complementary multiple scale images of the same object is a straightforward means to decipher biological processes. Light microscopy and electron microscopy are the most commonly used imaging techniques, yet ...