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

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Polish Soc Theoretical & Applied Mechanics

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Resumo

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.

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Chaos, Control of chaos, Non-ideal oscillators, Vibro-impact

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Inglês

Como citar

Journal of Theoretical and Applied Mechanics. Warszawa: Polish Soc Theoretical & Applied Mechanics, v. 46, n. 3, p. 641-664, 2008.

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