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https://doi.org/10.15480/882.2375
Publisher DOI: | 10.3390/lubricants7080064 | Title: | Reconstruction of governing equations from vibration measurements for geometrically nonlinear systems | Language: | English | Authors: | Didonna, Marco Stender, Merten Papangelo, Antonio Fontanela, Filipe Ciavarella, Michele Hoffmann, Norbert ![]() |
Keywords: | nonlinear dynamics; system identification; sparse regression; time series; geometric nonlinearity; contact | Issue Date: | 5-Aug-2019 | Publisher: | Multidisciplinary Digital Publishing Institute | Source: | Lubricants 7 (8): 64 (2019) | Abstract (english): | 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. |
URI: | http://hdl.handle.net/11420/3156 | DOI: | 10.15480/882.2375 | ISSN: | 2075-4442 | Journal: | Lubricants | Other Identifiers: | doi: 10.3390/lubricants7080064 | Institute: | Strukturdynamik M-14 | Document Type: | Article | Project: | Open Access Publizieren 2018 - 2019 / TU Hamburg Calm, Smooth and Smart - Novel Approaches for Influencing Vibrations by Means of Deliberately Introduced Dissipation Untersuchung und Anwendung komplexer, nichtlinearer, dynamischer Zustände in reiberregten mechanischen Systemen |
More Funding information: | Deutsche Forschungsgemeinschaft Italian Ministry of Education, University and Research (MIUR) |
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Appears in Collections: | Publications with fulltext |
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