Reconstruction of Governing Equations from Vibration Measurements for Geometrically Nonlinear Systems
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. Fir...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-08-01
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| Series: | Lubricants |
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| Online Access: | https://www.mdpi.com/2075-4442/7/8/64 |
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| author | Marco Didonna Merten Stender Antonio Papangelo Filipe Fontanela Michele Ciavarella Norbert Hoffmann |
| author_facet | Marco Didonna Merten Stender Antonio Papangelo Filipe Fontanela Michele Ciavarella Norbert Hoffmann |
| author_sort | Marco Didonna |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T11:05:33Z |
| format | Article |
| id | doaj.art-b148142d86c24eb7bf9ffee8265676e4 |
| institution | Directory Open Access Journal |
| issn | 2075-4442 |
| language | English |
| last_indexed | 2024-04-11T11:05:33Z |
| publishDate | 2019-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Lubricants |
| spelling | doaj.art-b148142d86c24eb7bf9ffee8265676e42022-12-22T04:28:21ZengMDPI AGLubricants2075-44422019-08-01786410.3390/lubricants7080064lubricants7080064Reconstruction of Governing Equations from Vibration Measurements for Geometrically Nonlinear SystemsMarco Didonna0Merten Stender1Antonio Papangelo2Filipe Fontanela3Michele Ciavarella4Norbert Hoffmann5Politecnico di Bari, Department of Mechanics Mathematics and Management, Via Orabona 4, 70125 Bari, ItalyDepartment of Mechanical Engineering, Am Schwarzenberg-Campus 1, Hamburg University of Technology, 21073 Hamburg, GermanyPolitecnico di Bari, Department of Mechanics Mathematics and Management, Via Orabona 4, 70125 Bari, ItalyDepartment of Mechanical Engineering, Imperial College London, Exhibition Road, London SW7 2AZ, UKPolitecnico di Bari, Department of Mechanics Mathematics and Management, Via Orabona 4, 70125 Bari, ItalyDepartment of Mechanical Engineering, Am Schwarzenberg-Campus 1, Hamburg University of Technology, 21073 Hamburg, GermanyData-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.https://www.mdpi.com/2075-4442/7/8/64nonlinear dynamicssystem identificationsparse regressiontime seriesgeometric nonlinearitycontact |
| spellingShingle | Marco Didonna Merten Stender Antonio Papangelo Filipe Fontanela Michele Ciavarella Norbert Hoffmann Reconstruction of Governing Equations from Vibration Measurements for Geometrically Nonlinear Systems Lubricants nonlinear dynamics system identification sparse regression time series geometric nonlinearity contact |
| title | Reconstruction of Governing Equations from Vibration Measurements for Geometrically Nonlinear Systems |
| title_full | Reconstruction of Governing Equations from Vibration Measurements for Geometrically Nonlinear Systems |
| title_fullStr | Reconstruction of Governing Equations from Vibration Measurements for Geometrically Nonlinear Systems |
| title_full_unstemmed | Reconstruction of Governing Equations from Vibration Measurements for Geometrically Nonlinear Systems |
| title_short | Reconstruction of Governing Equations from Vibration Measurements for Geometrically Nonlinear Systems |
| title_sort | reconstruction of governing equations from vibration measurements for geometrically nonlinear systems |
| topic | nonlinear dynamics system identification sparse regression time series geometric nonlinearity contact |
| url | https://www.mdpi.com/2075-4442/7/8/64 |
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