|
|
|
| Effects of cross stiffness on dynamic characteristics of rubbing rotor |
| LIU Xiaofeng, ZHANG Chi, BO Lin, LUO Hongling |
| State Key Laboratory of Mechanical Transmissions, Chongqing University， Chongqing 400044, China |
|
|
|
|
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.
|
|
Received: 25 February 2020
Published: 15 June 2021
|
|
|
|
［1］WANG W M, LI Q H, GAO J J, et al.An identification method for damping ratio in rotor systems［J］.Mechanical Systems and Signal Processing, 2016, 68/69: 536-554.
［2］MA H, ZHAO Q B, ZHAO X Y, et al.Dynamic characteristics analysis of a rotor-stator system under different rubbing forms［J］.Applied Mathematical Modelling, 2015, 39(8): 2392-2408.
［3］张楠, 刘占生, 姜兴渭.高速转子轴承系统碰摩故障仿真研究［J］.振动与冲击, 2010, 29(9): 77-81.
ZHANG Nan, LIU Zhansheng, JIANG Xingwei.Simulation study on rub-impact fault of high-speed rotor-bearing system［J］.Journal of Vibration and Shock, 2010, 29(9): 77-81.
［4］CHILDS D W.Rub-induced parametric excitation in rotors［J］.Journal of Mechanical Design, 1979, 101(4): 640-644.
［5］李东.转子系统若干故障问题的非线性及可靠性分析［D］.沈阳: 东北大学, 2008.
［6］李东, 袁惠群, 吴立明.弹性支承双跨碰摩故障转子系统非线性特性［J］.振动、测试与诊断, 2009, 29(4): 414-418.
LI Dong, YUAN Huiqun, WU Liming.Study on nonlinear characteristic of elastically-supported two-span rotor system with rub-impact fault［J］.Journal of Vibration, Measurement and Diagnosis, 2009, 29(4): 414-418.
［7］刘杨, 李炎臻, 石拓, 等.转子-滑动轴承系统不对中-碰摩耦合故障分析［J］.机械工程学报, 2016, 52(13): 79-86.
LIU Yang, LI Yanzhen, SHI Tuo, et al.Study on misalignment-rubbing coupling fault of rotor system supported by oil film force［J］.Journal of Mechanical Engineering, 2016, 52(13): 79-86.
［8］刘杨, 李炎臻, 太兴宇, 等.转子-滑动轴承系统松动-碰摩耦合故障分析［J］.振动工程学报, 2016, 29(3): 549-554.
LIU Yang, LI Yanzhen, TAI Xingyu, et al.Characteristic analysis of looseness-rubbing coupling fault of rotor-sliding-bearing system［J］.Journal of Vibration Engineering, 2016, 29(3): 549-554.
［9］钟一谔，何衍宗，王正.转子动力学［M］.北京: 清华大学出版社, 1987.
［10］CHANG-JIAN C W, CHEN C K.Chaos and bifurcation of a flexible rub-impact rotor supported by oil film bearings with nonlinear suspension［J］.Mechanism and Machine Theory, 2007, 42(3): 312-333.
［11］CHANG-JIAN C W, CHEN C K.Chaos of rub-impact rotor supported by bearings with nonlinear suspension［J］.Tribology International, 2009, 42(3): 426-439.
［12］XIANG L, GAO X Y, HU A J.Nonlinear dynamics of an asymmetric rotor-bearing system with coupling faults of crack and rub-impact under oil-film forces［J］.Nonlinear Dynamics, 2016, 86(2): 1057-1067.
［13］VARNEY P, GREEN I.Nonlinear phenomena, bifurcations, and routes to chaos in an asymmetrically supported rotor-stator contact system［J］.Journal of Sound and Vibration, 2015, 336:207-226.
［14］KAASPETERSEN C.Computation of quasi-periodic solutions of forced dissipative systems［J］.Journal of Computational Physics, 1985, 58(3): 395-408.
［15］胡海岩.应用非线性动力学［M］.北京: 航空工业出版社, 2000.
［16］HU H Y.Detection of grazing orbits and incident bifurcations of a forced continou, piecewise-linear oscillator［J］.Journal of Sound and Vibration, 1995, 187(3): 485-493.
［17］SIMPSON D J W, MEISS J D.Neimark-Sacker bifurcations in planar, piecewise-smooth, continuous maps［J］.Siam Journal on Applied Dynamical Systems, 2008, 7(3): 795-824.
|
|
|
|
