@article {604, title = {Control and chaos for vibro-impact and non-ideal oscillators}, journal = {Journal of Theoretical and Applied Mechanics}, volume = {46}, year = {2008}, abstract = {

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.

}, keywords = {chaos, control of chaos, non-ideal oscillators, vibro-impact}, url = {http://ptmts.org.pl/jtam/index.php/jtam/article/view/v46n3p641}, author = {S.L.T. de Souza and I. L. Caldas and R L Viana and J.M. Balthazar} }