A quantitative assessment of the model form error of friction models across different interface representations for jointed structures

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dc.citation.articleNumber108163en_US
dc.citation.journalTitleMechanical Systems and Signal Processingen_US
dc.citation.volumeNumber163en_US
dc.contributor.authorPorter, Justin H.en_US
dc.contributor.authorBalaji, Nidish Narayanaaen_US
dc.contributor.authorLittle, Clayton R.en_US
dc.contributor.authorBrake, Matthew R.W.en_US
dc.date.accessioned2021-07-30T16:36:53Zen_US
dc.date.available2021-07-30T16:36:53Zen_US
dc.date.issued2022en_US
dc.description.abstractHysteretic models are widely used to model frictional interactions in joints to recreate experimental behavior. However, it is unclear which models are best suited for fitting or predicting the responses of structures. The present study evaluates 26 friction model/interface representation combinations to quantify the model form error. A Quasi-Static Modal Analysis approach (termed Rayleigh Quotient Nonlinear Modal Analysis) is adopted to calculate the nonlinear system response, and a Multi-Objective Optimization is solved to fit experimental data of the first mode of the Brake-Reuß Beam. Optimized parameters from the first mode are applied to the second and third bending modes to quantify the predictive ability of the models. Formulations for both tracing full hysteresis loops and recreating hysteresis loops from a single loading curve (Masing assumptions) are considered. Smoothly varying models applied to a five patch representation showed the highest flexibility (for fitting mode 1) and good predictive potential (for modes 2 and 3). For a second formulation, which uses 152 frictional elements to represent the interface, the physically motivated spring in series with a Coulomb slip model (elastic dry friction) has high error for fitting mode 1 and performs near the middle for predicting higher modes. For both interface representation, the best fit models are not the most physical, but rather the ones with the most parameters (as expected); however, the more physical models perform somewhat better for predicting the higher modes.en_US
dc.identifier.citationPorter, Justin H., Balaji, Nidish Narayanaa, Little, Clayton R., et al.. "A quantitative assessment of the model form error of friction models across different interface representations for jointed structures." <i>Mechanical Systems and Signal Processing,</i> 163, (2022) Elsevier: https://doi.org/10.1016/j.ymssp.2021.108163.en_US
dc.identifier.doihttps://doi.org/10.1016/j.ymssp.2021.108163en_US
dc.identifier.urihttps://hdl.handle.net/1911/111051en_US
dc.language.isoengen_US
dc.publisherElsevieren_US
dc.rightsThis is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Elsevier.en_US
dc.subject.keywordJointed Structuresen_US
dc.subject.keywordFrictional systemsen_US
dc.subject.keywordHysteretic systemsen_US
dc.subject.keywordEpistemic uncertaintyen_US
dc.subject.keywordOptimizationen_US
dc.subject.keywordZero-thickness elementsen_US
dc.titleA quantitative assessment of the model form error of friction models across different interface representations for jointed structuresen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpost-printen_US
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