Sparse representation for the inverse problem of force identification

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

5 Scopus citations

Abstract

Force identification remains a challenging inverse problem, where a small error in structural responses may lead to a large deviation in the true solution. To overcome the ill-posed nature, a general sparse representation model is developed thereafter for solving the inverse problem of force identification. Different from the traditional function expansion methods that should determine the number of basis function in advance, the sparse representation method can adaptively determine it by minimizing the number of nonzero components in the sparse coefficient vector during the regularization process. Compared with the Tikhonov method, four dictionaries including Dirac delta functions, Db6 wavelets, Sym4 wavelets and cubic B-spline functions, accurately represent the consecutive impact force acting on a carbon fiber reinforced composite laminates plate.

Original languageEnglish
Title of host publicationProceedings of ISMA 2016 - International Conference on Noise and Vibration Engineering and USD2016 - International Conference on Uncertainty in Structural Dynamics
EditorsPaul Sas, David Moens, Axel van de Walle
PublisherKU Leuven, Departement Werktuigkunde
Pages1685-1696
Number of pages12
ISBN (Electronic)9789073802940
StatePublished - 2016
Event27th International Conference on Noise and Vibration Engineering, ISMA 2016 and International Conference on Uncertainty in Structural Dynamics, USD2016 - Leuven, Belgium
Duration: 19 Sep 201621 Sep 2016

Publication series

NameProceedings of ISMA 2016 - International Conference on Noise and Vibration Engineering and USD2016 - International Conference on Uncertainty in Structural Dynamics

Conference

Conference27th International Conference on Noise and Vibration Engineering, ISMA 2016 and International Conference on Uncertainty in Structural Dynamics, USD2016
Country/TerritoryBelgium
CityLeuven
Period19/09/1621/09/16

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