Video analysis of nonlinear systems with extended Kalman filtering for modal identification

[en] This study proposes to carry out the experimental modal analysis of nonlinear systems under the assumption of almost invariant modal shapes by coupling video analysis from a high speed/resolution camera and extended Kalman filtering. A clamped-clamped beam with a local nonlinearity is considered, and its vibrations are measured by detecting and tracking a large set of (virtual) sensors bonded to the beam outer surface. Specific image processing and video tracking techniques are employed and detailed herein. Then, the instantaneous natural frequencies and modal amplitudes are identified by means of a data assimilation method based on extended Kalman and modal filters. Finally, the proposed method of identification is assessed using a numerical example possessing 3 degrees of freedom and a strong nonlinearity. The performance and limits of the identification process are discussed.

Disciplines :

Mechanical engineering

Author, co-author :

Lo Feudo, Stefania ; QUARTZ Laboratory (EA7393), Vibrations, Acoustics, Mechanical Structures and Shapes, ISAE-Supméca, Saint-Ouen-sur-Seine, France

Dion, Jean-Luc ; QUARTZ Laboratory (EA7393), Vibrations, Acoustics, Mechanical Structures and Shapes, ISAE-Supméca, Saint-Ouen-sur-Seine, France

Renaud, Franck ; QUARTZ Laboratory (EA7393), Vibrations, Acoustics, Mechanical Structures and Shapes, ISAE-Supméca, Saint-Ouen-sur-Seine, France

Kerschen, Gaëtan ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux

Noël, Jean-Philippe; Mechanical Engineering Department, KU Leuven, Leuven, Belgium

Language :

English

Title :

Video analysis of nonlinear systems with extended Kalman filtering for modal identification

Publication date :

July 2023

Journal title :

Nonlinear Dynamics

ISSN :

0924-090X

eISSN :

1573-269X

Publisher :

Springer Science and Business Media B.V.

Volume :

111

Issue :

Pages :

13263 - 13277

Peer reviewed :

Peer reviewed

Additional URL :

https://link.springer.com/content/pdf/10.1007/s11071-023-08560-1.pdf

Funding text :

We thank Tilàn Dossogne (University of Liège) and Reza Babajanivalashedi (ISAE-Supméca) for their time and help during the experimental campaign.

Available on ORBi :

since 11 October 2024

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