Reconstruction of governing equations from vibration measurements for geometrically nonlinear systems

Didonna, M; Stender, M; Papangelo, A; Fontanela, F; Ciavarella, M; Hoffmann, N

Reconstruction of governing equations from vibration measurements for geometrically nonlinear systems

Didonna, M Stender, M

Papangelo, A Fontanela, F Ciavarella, M Hoffmann, N

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Publisher:: MDPI AG
Publication Type:: Journal Article
Citation:: Lubricants, 2019, 7, (8)
Issue Date:: 2019-08-01

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Field	Value	Language
dc.contributor.author	Didonna, M
dc.contributor.author	Stender, M https://orcid.org/0000-0002-0888-8206
dc.contributor.author	Papangelo, A
dc.contributor.author	Fontanela, F
dc.contributor.author	Ciavarella, M
dc.contributor.author	Hoffmann, N
dc.date.accessioned	2020-05-12T02:58:32Z
dc.date.available	2020-05-12T02:58:32Z
dc.date.issued	2019-08-01
dc.identifier.citation	Lubricants, 2019, 7, (8)
dc.identifier.issn	2075-4442
dc.identifier.issn	2075-4442
dc.identifier.uri	http://hdl.handle.net/10453/140665
dc.description.abstract	© 2019 by the authors. Data-driven system identification procedures have recently enabled the reconstruction of governing differential equations from vibration signal recordings. In this contribution, the sparse identification of nonlinear dynamics is applied to structural dynamics of a geometrically nonlinear system. First, the methodology is validated against the forced Duffing oscillator to evaluate its robustness against noise and limited data. Then, differential equations governing the dynamics of two weakly coupled cantilever beams with base excitation are reconstructed from experimental data. Results indicate the appealing abilities of data-driven system identification: underlying equations are successfully reconstructed and (non-)linear dynamic terms are identified for two experimental setups which are comprised of a quasi-linear system and a system with impacts to replicate a piecewise hardening behavior, as commonly observed in contacts.
dc.language	en
dc.publisher	MDPI AG
dc.relation.ispartof	Lubricants
dc.relation.isbasedon	10.3390/lubricants7080064
dc.rights	info:eu-repo/semantics/openAccess
dc.title	Reconstruction of governing equations from vibration measurements for geometrically nonlinear systems
dc.type	Journal Article
utslib.citation.volume	7
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney
utslib.copyright.status	open_access	*
pubs.consider-herdc	false
dc.date.updated	2020-05-12T02:58:28Z
pubs.issue	8
pubs.publication-status	Published
pubs.volume	7
utslib.citation.issue	8

Abstract:

© 2019 by the authors. Data-driven system identification procedures have recently enabled the reconstruction of governing differential equations from vibration signal recordings. In this contribution, the sparse identification of nonlinear dynamics is applied to structural dynamics of a geometrically nonlinear system. First, the methodology is validated against the forced Duffing oscillator to evaluate its robustness against noise and limited data. Then, differential equations governing the dynamics of two weakly coupled cantilever beams with base excitation are reconstructed from experimental data. Results indicate the appealing abilities of data-driven system identification: underlying equations are successfully reconstructed and (non-)linear dynamic terms are identified for two experimental setups which are comprised of a quasi-linear system and a system with impacts to replicate a piecewise hardening behavior, as commonly observed in contacts.

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http://hdl.handle.net/10453/140665