On stick-slip homoclinic Chaos and bifurcations in a mechanical System with dry friction
On stick-slip homoclinic Chaos and bifurcations in a mechanical System with dry friction
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DOI：
10.1142/s0218127401003188
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发表时间：
2001-07
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影响因子：
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通讯作者：
B. R. Pontes;V. Oliveira;J. Balthazar
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文献类型：
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作者：
B. R. Pontes;V. Oliveira;J. Balthazar
在本文中，我们考虑干摩擦自激机械系统，以研究所产生振动的分叉行为。振荡系统由通过静摩擦和库仑摩擦自激的质量块带系统组成。我们通过分岔图、相图、频谱和庞加莱图对系统行为进行数值分析，表明非同宿混沌和同宿混沌的存在以及通向同宿混沌的途径。还通过梅尔尼科夫预测方法对同宿混沌进行了分析分析。系统动力学的特点是相平面上存在两个势阱，表现出丰富的分叉和混沌行为。
In this paper we consider a self-excited mechanical system by dry friction in order to study the bifurcational behavior of the arisen vibrations. The oscillating system consists of a mass block-belt-system which is self-excited by static and Coulomb friction. We analyze the system behavior numerically through bifurcation diagrams, phase portraits, frequency spectra and Poincare maps, which show the existence of nonhomoclinic and homoclinic chaos and a route to homoclinic chaos. The homoclinic chaos is also analyzed analytically via the Melnikov prediction method. The system dynamic is characterized by the existence of two potential wells in the phase plane which exhibit rich bifurcational and chaotic behavior.