Control and chaos for vibro-impact and non-ideal oscillators

• Autor(a) principal: Souza, Silvio L. T. de
• Data de Publicação: 2008
• Outros Autores: Caldas, Ibere L., Viana, Ricardo L., Balthazar, José Manoel [UNESP]
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://www.ptmts.org.pl/article.xsl?vol=46&no=3&page=641; http://hdl.handle.net/11449/243874
• topic: Chaos; Control of chaos; Non-ideal oscillators; Vibro-impact

In the paper, we discuss dynamics of two kinds of mechanical systems. Initially, we consider vibro-impact systems which have many implementations in applied mechanics, ranging from drilling machinery and metal cutting processes to gear boxes. Moreover, from the point of view of dynamical systems, vibro-impact systems exhibit a rich variety of phenomena, particularly chaotic motion. In this paper, we review recent works on the dynamics of vibro-impact systems, focusing on chaotic motion and its control. The considered systems are a gear-rattling model and a smart damper to suppress chaotic motion. Furthermore, we investigate systems with non-ideal energy source, represented by a limited power supply. As an example of a non-ideal system, we analyse chaotic dynamics of the damped Duffing oscillator coupled to a rotor. Then, we show how to use a tuned liquid damper to control the attractors of this non-ideal oscillator.