کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
758362 896422 2013 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bifurcation analysis of periodic orbits of a non-smooth Jeffcott rotor model
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Bifurcation analysis of periodic orbits of a non-smooth Jeffcott rotor model
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 18, Issue 9, September 2013, Pages 2571–2580
نویسندگان
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