A generalised power-law formulation for the modelling of damping and stiffness nonlinearities

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dc.contributor.authorCivera, Marco
dc.contributor.authorGrivet-Talocia, Stefano
dc.contributor.authorSurace, Cecilia
dc.contributor.authorZanotti Fragonara, Luca
dc.date.accessioned2021-01-11T18:03:57Z
dc.date.available2021-01-11T18:03:57Z
dc.date.issued2020-12-26
dc.description.abstractIn this paper, a single-degree-of-freedom dynamic model is described, with displacement- and velocity-dependent nonlinearities represented by power laws. The model is intended to support the dynamic identification of structural components subjected to harmonic excitation. In comparison to other analytical expressions, the data-driven estimation of the nonlinear exponents provides a large versatility, making the generalised model adaptable for a wide number of different nonlinearities in both stiffness and damping. For instance, the proposed damping formulation can naturally accommodate air drag (quadratic) damping as well as dry friction. Differently to purely data-driven methods (e.g. black boxes), the obtained model is fully inspectable. The proposed formulation is here applied to the large oscillations of a prototype highly flexible wing and fitted on its steady state response in the frequency domain. These large-amplitude flap-wise bending oscillations are known to be affected by nonlinearities in both the stiffness (nonlinear hardening) and the velocity-dependent damping terms. The model is validated against experiments for different structural configurations and input amplitudes, as both these nonlinearities are energy-dependent.en_UK
dc.identifier.citationCivera M, Grivet-Talocia S, Surace C, Zanotti Fragonara L. (2021) A generalised power-law formulation for the modelling of damping and stiffness nonlinearities. Mechanical Systems and Signal Processing, Volume 153, May 2021, Article number 107531en_UK
dc.identifier.issn0888-3270
dc.identifier.urihttps://doi.org/10.1016/j.ymssp.2020.107531
dc.identifier.urihttps://dspace.lib.cranfield.ac.uk/handle/1826/16152
dc.language.isoenen_UK
dc.publisherElsevieren_UK
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectNonlinear dynamicsen_UK
dc.subjectNonlinear hardeningen_UK
dc.subjectNonlinear dampingen_UK
dc.subjectLarge vibrationsen_UK
dc.subjectNonlinear system identificationen_UK
dc.subjectHigh-Aspect-Ratio wingen_UK
dc.titleA generalised power-law formulation for the modelling of damping and stiffness nonlinearitiesen_UK
dc.typeArticleen_UK

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