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Meccanica
Erschienen in: Meccanica 11-12/2017

16.03.2017

A new test for stick–slip limit cycles in dry-friction oscillators with a small nonlinearity in the friction characteristic

verfasst von: Oleg Makarenkov

Erschienen in: Meccanica | Ausgabe 11-12/2017

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Abstract

We consider a dry friction oscillator on a moving belt with both the Coulomb friction and a small nonlinear addition which can model e.g. the Stribeck effect. By using the perturbation theory, we establish a new condition for the nonlinearity to ensure the occurrence of a stick–slip limit cycle. The test obtained is more accurate compared to what one gets by building upon the divergence test.
Vorheriger Artikel An overview of the escape dynamics in the Hénon–Heiles Hamiltonian system
Nächster Artikel The loss of synchronization between air pressure fluctuations and liquid flow inside the nozzle during the chaotic bubble departures

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Fußnoten
1
Similar analysis can be execute by letting \(\varepsilon =a\delta ^2\) and by considering
$$\begin{aligned} G(\delta ,a)=\frac{1}{\delta }\left( X_2\left( 2\pi -\delta ,\left( \begin{array}{l} 1-a\delta ^2 cV\\ V\end{array}\right) ,a\delta ^2\right) -V\right) . \end{aligned}$$
 
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Metadaten
Titel
A new test for stick–slip limit cycles in dry-friction oscillators with a small nonlinearity in the friction characteristic
verfasst von
Oleg Makarenkov
Publikationsdatum
16.03.2017
Verlag
Springer Netherlands
Erschienen in
Meccanica / Ausgabe 11-12/2017
Print ISSN: 0025-6455
Elektronische ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-017-0648-7

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