转子与定子几何不对中引起的碰摩分析

Analysis of Rub Impact Events for a Rotor Eccentric from the Case

研究一类与定子几何不对中的转子的碰摩模型。通过碰摩映射的建立，将非光滑运动的研究转化为该映射的动力学研究。从几何角度分析了转子碰摩的机理，并通过数值模拟发现该类转子碰摩具有非线性系统特有的分岔和混沌等现象。

This paper deals with the rub impact events of a rigid constrained rotor geometrically eccentric from the case. As a problem that belongs to the non smooth dynamical system, the common method which deals with smooth dynamical system becomes invalid in this situation, while the scattered rub imact map might be the most suitabe tool for the non smooth dynamical system because of its view direct and easy operating. With the construction of a rub impact map on the constraint surface, the study of the non smooth motion is transformed into that of the dynamics of the map. The mechanism of rub impact is analyzed from the geometric viewpoint and a variety of results such as bifurcation and chaos that are featured to non linear system are obtained through digital simulations. But the bifurcation diagram shows a very different view from that of the smooth dynamical system, which indicates a sudden transition from the periodic motion to the chaotic one.