Dynamics of a class of strongly non-linear mechanical systems

Márcio José Horta Dantas

Resumo


The aim of this work is to investigate the existence, stability and, bifurcations of periodic orbits of a strongly non-linear non-ideal mechanical problem. We have rigorously obtained the existence of periodic orbits as well as a couple of inequalities that control their stability. From these results, two new mechanical effects are obtained.

Palavras-chave


Elliptic Functions, Perturbation Theory, Stability, Jump, Dissipation-Induced Instability

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DOI: https://doi.org/10.5540/03.2020.007.01.0375

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