NUMERICAL MODELLING OF TOOTHED GEAR DYNAMICS
Journal Title: Scientific Journals of Silesian University of Technology. Series Transport - Year 2017, Vol 97, Issue 97
Abstract
This paper presents the results of computer simulations of a gear model, where the variable stiffness of the meshing and backlash are considered. The outcome of such assumptions is a non-linear mathematical model in which chaotic phenomena can occur. During model studies, attention was paid to the identification of areas limited by the physical parameters, for which the analysed system behaved chaotically. To determine the ranges of irregular gear behaviour, numerical procedures were used to plot the bifurcation diagram, the Lyapunov exponent, the amplitude-frequency distribution and the Poincaré cross section.
Authors and Affiliations
Jerzy MARGIELEWICZ, Damian GĄSKA, Grzegorz Wojnar
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