The Non-Smooth Analysis of Filippov Rub-Impact Rotor System
作者: 徐洁琼 ：广西大学数学与信息科学学院，广西 南宁;
Abstract: A three-degree-of-freedom lateral-torsional coupled Filippov differential system for a Jeffcott rotor supported rigidly is established. Comparing the lateral-torsional coupled rub-impact rotor and the lateral rub-impact rotor through bifurcation diagrams of amplitude and the phase difference, time trajectories, phase portraits, Poincaré maps, time-history diagram, the phase characteristic and the non-smooth dynamic behavior of the Filippov rub-impact system are analyzed numerically. It is shown that the rub-impact response has the definite phase characteristic; the two models have a similar bifurcation process in their bifurcation figures; the torsional vibration is obvious, and the stick-slip phenomena will happen in this system in a certain parameter.
文章引用: 徐洁琼 (2015) 一类Filippov碰摩转子系统的非光滑分析。 应用数学进展， 4， 197-208. doi: 10.12677/AAM.2015.42025
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