Around the dynamics and control of a model arising from vibroimpact mechanics

Vladimir Rasvan

doi:10.52846/stccj.2024.4.1.61

Authors

Vladimir Rasvan Universitatea din Craiova

DOI:

https://doi.org/10.52846/stccj.2024.4.1.61

Keywords:

vibroimpact mechanics,complementarity condition,stability,energy Lyapunov functional, Barbashin-Krasovskii-LaSalle invariance principle.

Abstract

It is considered a simple model arising from vibroimpact machinery modeling. This model is deduced using the variational principle of Hamilton applied to a structure with distributed parameters. Its novelty includes introduction of the elastic strain induced by the external force at the boundary. The non-penetrating contact is modeled by the Hertz-Signorini-Moreau complementarity condition - again in the simplest case. Next, there is studied asymptotic stability of the autonomous system, based on the energy Lyapunov functional and the Barbashin-Krasovskii-LaSalle invariance principle.

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