%0 Journal Article
%T Modelling and experimental validation of 1
%A Grzegorz Kudra
%A Grzegorz Wasilewski
%A Jan Awrejcewicz
%A Krzysztof Witkowski
%J Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering
%@ 2041-3041
%D 2019
%R 10.1177/0959651818803165
%X In this article, a mechanical 1-degree-of-freedom oscillator with harmonic forcing and impacts was analysed both numerically and experimentally. 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 ¨C with and without impacts. Then, the model was validated by means of experimental and numerical analysis of bifurcation dynamics of the forced system
%K Impacts
%K friction
%K bifurcation
%K chaos
%K identification
%K mathematical modelling
%U https://journals.sagepub.com/doi/full/10.1177/0959651818803165