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Compressed sensing applied to modeshapes reconstruction

Morlier, Joseph and Bettebghor, Dimitri Compressed sensing applied to modeshapes reconstruction. (2011) In: IMAC XXX Conference and exposition on structural dynamics, 30 Jan – 02 Feb 2012, Jacksonville, USA . (Unpublished)

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Abstract

Modal analysis classicaly used signals that respect the Shannon/Nyquist theory. Compressive sampling (or Compressed Sampling, CS) is a recent development in digital signal processing that offers the potential of high resolution capture of physical signals from relatively few measurements, typically well below the number expected from the requirements of the Shannon/Nyquist sampling theorem. This technique combines two key ideas: sparse representation through an informed choice of linear basis for the class of signals under study; and incoherent (eg. pseudorandom) measurements of the signal to extract the maximum amount of information from the signal using a minimum amount of measurements. We propose one classical demonstration of CS in modal identification of a multi-harmonic impulse response function. Then one original application in modeshape reconstruction of a plate under vibration. Comparing classical L2 inversion and L1 optimization to recover sparse spatial data randomly localized sensors on the plate demonstrates the superiority of L1 reconstruction (RMSE).

Item Type:Conference or Workshop Item (Paper)
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution: Université de Toulouse > Ecole des Mines d'Albi-Carmaux - EMAC
Université de Toulouse > Institut National des Sciences Appliquées de Toulouse - INSA
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE
French research institutions > Office National d'Etudes et Recherches Aérospatiales - ONERA
Université de Toulouse > Université Paul Sabatier-Toulouse III - UPS
Laboratory name:
Département de Mécanique des Structures et Matériaux - DMSM (Toulouse, France) - Dynamique des structures
Département Traitement de l'Information et Modélisation - DTIM (Toulouse, France) - Modélisation et Ingénierie des Systèmes - MOIS - Modèles Mathématiques et Simulation Numérique - M2SN
Institut Clément Ader - ICA (Toulouse, France) - Dynamique des structures
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Deposited By: Joseph Morlier
Deposited On:30 Jan 2012 12:57

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