A multi-sine sweep method for the characterization of weak non-linearities ; plant noise and variability estimation.
Communication avec acte
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 order to assess the evolutions of non linearities on a wide frequency range. A method developed previously, based on exponential sine sweep, is able to give an approximative identification of the Hammerstein models, but cannot make the distinction between nonlinear distortion and stationary plant noise. Therefore, this paper proposes improvements on the method that provide a more precise estimation of the Hammerstein models through the cancellation of the plant noise: it relies on the repetition of the signal on a certain amount of periods (multi-sine sweeps) and then on the consideration of the synchronous average out of the different periods from the resulting signal. Mathematical foundations and practical implementation of the method are discussed. The second main point of improvement concerning the study of the vibrating device is the use of the Bootstrap analysis. By considering some periods randomly chosen among the multisine sweep, one can study the variability of the experiments. The method becomes more robust.
Files in this item
Showing items related by title, author, creator and subject.
Repeated exponential sine sweeps for the autonomous estimation of nonlinearities and bootstrap assessment of uncertainties Article dans une revue avec comité de lectureREBILLAT, Marc; EGE, Kerem; GALLO, Maxime; ANTONI, Jérôme (American Society of Mechanical Engineers, 2015)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 ...
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 ...