Abstract
This paper is a presentation of the simulation and dynamical behaviour of a rigid body lying on a vibrating table. Shaping and control of the body’s dynamical behaviour, by the use of manipulation of parameters of the table oscillations, are presented. This article includes an implementation of the specially prepared mathematical models of friction between table and the moving body as well. The above-mentioned models are based on the integral model assuming the fully developed sliding on the plane contact area with the foundation of any pressure distribution. In order to simplify the calculations and reduce their computational cost, special approximations of the integral models of friction force and moment are proposed. They are based on Padé approximants and their generalizations.
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Acknowledgments
The work has been supported by the Polish National Science Centre, MAESTRO 2, No. 2012/04/A/ST8/00738.
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Szewc, M., Kudra, G., Awrejcewicz, J. (2016). On the Dynamics of the Rigid Body Lying on the Vibrating Table with the Use of Special Approximations of the Resulting Friction Forces. In: Awrejcewicz, J. (eds) Dynamical Systems: Theoretical and Experimental Analysis. Springer Proceedings in Mathematics & Statistics, vol 182. Springer, Cham. https://doi.org/10.1007/978-3-319-42408-8_28
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DOI: https://doi.org/10.1007/978-3-319-42408-8_28
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