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Type: Artigo de periódico
Title: Chaotic Vibrations Of A Nonideal Electro-mechanical System
Author: Belato D.
Weber H.I.
Balthazar J.M.
Mook D.T.
Abstract: Nonideal systems are those in which one takes account of the influence of the oscillatory system on the energy supply with a limited power. In this paper, a particular nonideal system is investigated, consisting of a pendulum whose support point is vibrated along a horizontal guide by a two bar linkage driven by a DC motor, considered to be a limited power supply. Under these conditions, the oscillations of the pendulum are analyzed through the variation of a control parameter. The voltage supply of the motor is considered to be a reliable control parameter. Each simulation starts from zero speed and reaches a steady-state condition when the motor oscillates around a medium speed. Near the fundamental resonance region, the system presents some interesting nonlinear phenomena, including multi-periodic, quasiperiodic, and chaotic motion. The loss of stability of the system occurs through a saddle-node bifurcation, where there is a collision of a stable orbit with an unstable one, which is approximately located close to the value of the pendulum's angular displacement given by αC = π/2. The aims of this study are to better understand nonideal systems using numerical simulation, to identify the bifurcations that occur in the system, and to report the existence of a chaotic attractor near the fundamental resonance.
Editor: Elsevier Science Ltd, Exeter, United Kingdom
Rights: fechado
Identifier DOI: 10.1016/S0020-7683(00)00130-X
Date Issue: 2001
Appears in Collections:Unicamp - Artigos e Outros Documentos

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