不对中-松动-碰摩转子系统的动力学特性分析
谢沅博
(兰州交通大学 机电工程学院,甘肃 兰州 730070)
摘要:考虑联轴器不对中、输入轴端支座松动和转定子间碰摩等耦合故障因素,建立了两端以滑动轴承支撑的非线性刚度双盘转子系统动力学模型,运用变步长四阶龙格库塔法对该系统进行数值求解,采用分叉图、相图、Poincaré截面图以及最大碰摩力图主要分析了转速和转盘偏心量对系统动力学特性的影响。结果表明:随着转速的增大,系统出现了周期运动、混沌运动、概周期运动;转盘偏心量小范围的减小会使系统在低中速区段运行的稳定性明显提高,反之偏心量的增大会导致系统临界分叉转速的提前,使原有单周期运动直接突变为混沌运动,转定间的碰摩程度极剧增大。
关键词:转子;不对中;转子偏心;碰摩;分叉
中图分类号:TH113.1 文献标志码:A doi:10.3969/j.issn.1006-0316.2021.08.006
文章编号:1006-0316 (2021) 08-0037-09
Dynamic Analysis of Rotor System with Misalignment, Loose and Rub-Impact
XIE Yuanbo
( School of Mechanical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China )
Abstract:Aiming at the coupling fault factors such as coupling misalignment, loosening of the input shaft end support and the rubbing between the rotor and stator, a dynamic model of a dual-disk rotor system with nonlinear stiffness supported by sliding bearings at both ends is established. The numerical analysis of the system is conducted by using variable step fourth-order Runge-Kutta method, and the bifurcation diagram, phase diagram, Poincaré sectional diagram and maximum rubbing force diagram are used to analyze the influence of the rotation speed and the turntable eccentricity on the dynamic characteristics of the system. The results show that the increase of the speed leads to the periodic motion, chaotic motion, pseudo-periodic motion of the system; the reduction of the turntable eccentricity in a small range significantly improves the stability of the system in the low and medium speed range. Conversely, the increase of the eccentricity leads to the advancement of the critical bifurcation speed of the system, which mutates the previous single-period motion directly into chaotic motion, and the degree of the rubbing between the rotor and stator is greatly increased.
Key words:rotor;misalignment;rotor eccentricity;rubbing-impact;bifurcation
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收稿日期:2021-01-07
作者简介:谢沅博(1995-),男,四川南充人,硕士研究生,主要研究方向为非线性动力学,E-mail:1726845017@qq.com。
 

 

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