Print Email Facebook Twitter A comparative study between Amontons-Coulomb and Dieterich-Ruina friction laws for the cyclic response of a single degree of freedom system Title A comparative study between Amontons-Coulomb and Dieterich-Ruina friction laws for the cyclic response of a single degree of freedom system Author Cabboi, A. (TU Delft Mechanics and Physics of Structures) Marino, Luca (TU Delft Mechanics and Physics of Structures) Cicirello, A. (TU Delft Mechanics and Physics of Structures) Date 2022 Abstract This study aims at assessing the predictive performance of the Amontons–Coulomb law to reliably predict the cyclic response, inclusive of stick–slip, of a single degree of freedom system in contact with the ground through two versions (steady-state and rate-and-state) of a regularized Dieterich–Ruina law. The assessment is carried out by defining a cost function and a physics-based constraint that enable the identification of the corresponding optimal coefficients of the Amontons–Coulomb law through a multi-start constrained non-linear optimization. The comparative study starts with a sensitivity analysis, aimed at first identifying the most meaningful model parameters for the Dieterich–Ruina law. Subsequently, the cyclic dynamic responses provided by both friction laws are analysed for varying model parameters, and characteristic features are observed within the dynamic forcing–displacement graph and the friction force–velocity plot, that could be directly linked to one friction model or the other. The sensitivity analysis led to the definition of a cost function expressed in terms of the displacement and velocity response differences and a constraint based on the phase difference. The optimization study identified areas of the Dieterich–Ruina's parameter space for which the Amontons–Coulomb law can reliably be used to predict a cyclic stick–slip response. The relevance of these results with respect to problems of modelling and identification of friction are discussed. Subject Stick–slipNonlinear vibrationConstitutive friction lawsRate-and-state laws To reference this document use: http://resolver.tudelft.nl/uuid:928eb28b-1754-4041-abc6-a2321fcdc167 DOI https://doi.org/10.1016/j.euromechsol.2022.104737 ISSN 0997-7538 Source European Journal of Mechanics A - Solids, 96 Part of collection Institutional Repository Document type journal article Rights © 2022 A. Cabboi, Luca Marino, A. Cicirello Files PDF 1_s2.0_S0997753822001826_main.pdf 13.88 MB Close viewer /islandora/object/uuid:928eb28b-1754-4041-abc6-a2321fcdc167/datastream/OBJ/view