Chaotic Behavior of Helical Gear-Pair Systems Non-Linear Parametrically Excited
Journal Title: Romanian Journal of Acoustics and Vibration - Year 2004, Vol 1, Issue 1
Abstract
The increased interest for improved gear design has led to extensive research into the field of nonlinear dynamics of such systems. The paper reveals a complex dynamic model to study the chaotic behavior in a gear-pair system. In many applications including turbo machinery, machine tools and diesel engines non-linearity's are present due tooth stiffness and damping that induced micro-vibrations of parametric type. In the mean time the input link of the drive ax and the output link of the driven ax induce non-linearity's. Therefore the paper presents the use of Lyapunov exponents method in order to analyze the trend to chaos of such systems. With this method it was found out a strange attractor and it was computed a Poincaré section of the non-linear dynamic response. By this way the paper reveals the chaotic behavior of gear-pair due to: non-linearity's of the input-output linkages and self-induced parametric excitations, caused by the tooth stiffness and damping.
Authors and Affiliations
Mihai Bugaru
Keywords
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