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A special attention was paid to the mathematical modelling and realistic numerical simulations of a real system. The developed experimental rig consists of a cart mounted on a guide, connected with springs to the support, and equipped with one-sided stiff limiter of motion. The cart was excited by an unbalanced disc mounted on the shaft of a stepper motor. Modelling was focused on the mathematical description of the impact process, where soft obstacle with Hertzian stiffness was assumed and different forms of non-linear damping were tested, including original modifications of the already used models. Model parameters are identified based on two experimental solutions corresponding to free vibrations \u2013 with and without impacts. Then, the model was validated by means of experimental and numerical analysis of bifurcation dynamics of the forced system.<\/jats:p>","DOI":"10.1177\/0959651818803165","type":"journal-article","created":{"date-parts":[[2018,10,4]],"date-time":"2018-10-04T11:36:24Z","timestamp":1538652984000},"page":"418-430","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":14,"title":["Modelling and experimental validation of 1-degree-of-freedom impacting oscillator"],"prefix":"10.1177","volume":"233","author":[{"given":"Krzysztof","family":"Witkowski","sequence":"first","affiliation":[{"name":"Department of Automation, Biomechanics and Mechatronics, \u0141\u00f3d\u017a University of Technology, \u0141\u00f3d\u017a, Poland"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0209-4664","authenticated-orcid":false,"given":"Grzegorz","family":"Kudra","sequence":"additional","affiliation":[{"name":"Department of Automation, Biomechanics and 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