交叉刚度对转子碰摩动力学特性的影响分析

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摘要针对简化弹簧模型和非线性动态油膜力模型皆不利于交叉刚度对碰摩转子动力学影响分析的问题，建立了基于非对称直接刚度和交叉刚度的Jeffcott转子动力学模型。结合打靶法和Floquet理论研究了转子交叉耦合刚度对转子系统运动稳定性的影响规律。创新性地引入了“碰摩能”新参量对碰摩故障进行量化表征，在此基础上分析了不同交叉刚度下转静件间隙的变化对转子碰摩程度的影响。分析结果表明，在不同“碰摩能”的情况下，转子系统交叉刚度的变化可诱发周期-1运动，再经擦边分岔突变为混沌和经Neimark-Sacker分岔渐变为混沌，正向涡动经跨临界分岔演化为反向涡动；交叉刚度较大时，增大转静件间隙反而会加重转静子碰摩的程度。

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	刘小峰
	张池
	柏林
	罗宏林

关键词 ：转子碰摩故障, 交叉刚度, 转子动力学, 碰摩能

Abstract：Aiming at the problem of the simplified spring model and nonlinear dynamic oil film force model being not conducive to analyzing effects of cross stiffness on rubbing rotor dynamics, a Jeffcott rotor dynamic model based on asymmetric direct stiffness and cross stiffness was established.Combining the shooting method and Floquet theory was used to study influence laws of rotor cross coupled stiffness on rotor system motion stability.A new parameter “rubbing energy” was introduced to characterize quantitatively the rotor rubbing fault, and analyze effects of rotor-stator clearance on rubbing degree of rotor with different cross stiffnesses.The results showed that in cases of different rubbing energy, the change of cross stiffness of rotor system can induce period-1 motion, and then through side-wiping bifurcation suddenly transit to chaos or through Neimark-Sacker bifurcation gradually transit to chaos; the forward whirl through trans-critical bifurcation evolves to reverse whirl; when the cross stiffness is larger, increasing rotor-stator clearance can aggravate the rubbing degree between rotor and stator.

Key words： rotor rubbing fault cross-stiffness rotor dynamics rubbing energy

收稿日期: 2020-02-25 出版日期: 2021-06-15

引用本文:

刘小峰,张池,柏林,罗宏林. 交叉刚度对转子碰摩动力学特性的影响分析[J]. 振动与冲击, 2021, 40(11): 176-181.
LIU Xiaofeng, ZHANG Chi, BO Lin, LUO Hongling. Effects of cross stiffness on dynamic characteristics of rubbing rotor. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(11): 176-181.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2021/V40/I11/176

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