کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
758362 | 896422 | 2013 | 10 صفحه PDF | دانلود رایگان |

We investigate complex dynamics occurring in a non-smooth model of a Jeffcott rotor with a bearing clearance. A bifurcation analysis of the rotor system is carried out by means of the software TC-HAT [25], a toolbox of AUTO 97 [6] allowing path-following and detection of bifurcations of periodic trajectories of non-smooth dynamical systems. The study reveals a rich variety of dynamics, which includes grazing-induced fold and period-doubling bifurcations, as well as hysteresis loops produced by a cusp singularity. Furthermore, an analytical expression predicting grazing incidences is derived.
► We consider a non-smooth model of a Jeffcott rotor with a bearing clearance.
► Path-following is applied for bifurcation analysis of the periodic motion.
► Fold, flip, grazing, torus and cusp bifurcations of cycles are detected and studied.
► We derive an analytical expression predicting grazing incidences.
► Unstable periodic motion embedded within a chaotic attractor is found numerically.
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 18, Issue 9, September 2013, Pages 2571–2580