This research aims to investigate the dynamic response of a dual rotor-bearing system for passing through critical speeds. The Newmark-β method for solving the nonlinear lateral vibration of rotor-bearing systems is approached and the effects of various parameters including shaft crack, unbalanced mass, shaft bow, and support parameters are shown. A model, including shaft cracks, rotor unbalance, and shaft bow, is established using the finite element method with six degrees of freedom per node. The results provide a detailed feature analysis of the support parameters in a dual rotor-bearing system when it is coupled with various faults to pass through the critical speeds.
Al-ShudeifatMAButcherEA (2011) New breathing functions for the transverse breathing crack of the cracked rotor system: approach for critical and subcritical harmonic analysis. Journal of Sound and Vibration330(3): 526–544.
2.
AL-ShudeifatMAAl HosaniHSaeedAS, et al. (2019) Effect of unbalance force vector orientation on the whirl response of cracked rotors. Journal of Vibration and Acoustics141(2).
3.
AmirzadeganSRokn-AbadiMFirouz-AbadiR, et al. (2022) Nonlinear responses of unbalanced flexible rotating shaft passing through critical speeds. Meccanica57(1): 193–212.
4.
BabuTRSrikanthSSekharA (2008) Hilbert–huang transform for detection and monitoring of crack in a transient rotor. Mechanical Systems and Signal Processing22(4): 905–914.
5.
BauerCWernerU (2015) Rotordyamic analysis of a 2-pole induction motor considering magnetic excitation due to dynamic rotor eccentricity during startup. In: Proceedings of the 9th IFToMM International Conference on Rotor Dynamics. Berlin: Springer, 661–676.
6.
CaoJ (2012) Transient Analysis of Flexible Rotors with Nonlinear Bearings, Dampers and External Forces. Ph. D. thesis. University of Virginia.
7.
ChandraNHSekharA (2016) Fault detection in rotor bearing systems using time frequency techniques. Mechanical Systems and Signal Processing72: 105–133.
8.
ChattertonSPennacchiPVaniaA (2022) An unconventional method for the diagnosis and study of generator rotor thermal bows. Journal of Engineering for Gas Turbines and Power144(1).
9.
ChenWJGunterEJ (2007) Introduction to Dynamics of Rotor-Bearing Systems. University of Virginia.
10.
ChiangH-WDHsuC-NTuS-H (2004), ‘Rotor-bearing analysis for turbomachinery single-and dual-rotor systems. Journal of Propulsion and Power20(6): 1096–1104.
11.
DarpeAGuptaKChawlaA (2006) Dynamics of a bowed rotor with a transverse surface crack. Journal of Sound and Vibration296(4–5): 888–907.
12.
DingQLeungA (2005) Numerical and experimental investigations on flexible multi-bearing rotor dynamics. Journal of Vibration and Acoustics127(4): 408–415.
13.
El-MongyHHYounesYK (2018) Vibration analysis of a multi-fault transient rotor passing through sub-critical resonances. Journal of Vibration and Control24(14): 2986–3009.
14.
FayRKreuzerDLiebichR, et al. (2018) Numerical results of the influence of thermal effects on the turbo machine rotordynamics induced by light-rubs against a brush seal. Journal of Sound and Vibration425: 70–81.
15.
FeiZ-xTongS-gWeiC (2013) Investigation of the dynamic characteristics of a dual rotor system and its start-up simulation based on finite element method. Journal of Zhejiang University - Science14(4): 268–280.
16.
GayenDChakrabortyDTiwariR (2017) Finite element analysis for a functionally graded rotating shaft with multiple breathing cracks. International Journal of Mechanical Sciences134: 411–423.
17.
GentaG (2005) Dynamics of Rotating Systems. Berlin: Springer Science & Business Media.
18.
GuoDShiXWangY, et al. (2016) Effect of shaft manufacturing bending deviation on dynamic response of geared rotor system. Advances in Mechanical Engineering8(10): 1687814016672538.
19.
HassenpflugHFlackRGunterE (1981) Influence of acceleration on the critical speed of a jeffcott rotor. Journal of Engineering for Gas Turbines and Power103(1): 108–113.
20.
HuXGaoFCuiC, et al. (2012) Active control method for passing through critical speeds of rotating superconducting rotor by changing stiffness of the supports with use of electromagnetic force. IEEE Transactions on Applied Superconductivity23(3): 5201304–5201304.
21.
JinYLuKHuangC, et al. (2019) Nonlinear dynamic analysis of a complex dual rotor-bearing system based on a novel model reduction method. Applied Mathematical Modelling75: 553–571.
22.
LiuJShaoY (2017) Dynamic modeling for rigid rotor bearing systems with a localized defect considering additional deformations at the sharp edges. Journal of Sound and Vibration398: 84–102.
23.
LiuJTangCPanG (2022) Dynamic modeling and simulation of a flexible-rotor ball bearing system. Journal of Vibration and Control28(23–24): 3495–3509.
24.
LiuJLiXPangR, et al. (2023) Dynamic modeling and vibration analysis of a flexible gear transmission system. Mechanical Systems and Signal Processing197: 110367.
25.
MillsapsKReedG (1998) Reducing lateral vibrations of a rotor passing through critical speeds by acceleration scheduling. Journal of Engineering for Gas Turbines and Power120(3): 615–620.
26.
PengHZhouZFengJ, et al. (2020) Prediction of the thermal bow of rotor based on the measured displacement and temperature. International Journal of Distributed Sensor Networks16(10): 1550147720962993.
27.
PilkeyWD (2002) Analysis and Design of Elastic Beams: Computational Methods. New York, NY: John Wiley & Sons.
28.
PrabhakarSSekharAMohantyA (2001) Vibration analysis of a misaligned rotor—coupling—bearing system passing through the critical speed. Proceedings of the Institution of Mechanical Engineers - Part C: Journal of Mechanical Engineering Science215(12): 1417–1428.
29.
PrabhakarSSekharAMohantyA (2002) Transient lateral analysis of a slant-cracked rotor passing through its flexural critical speed. Mechanism and Machine Theory37(9): 1007–1020.
30.
RajanMNelsonHChenW (1986) Parameter sensitivity in the dynamics of rotor-bearing systems. Journal of Vibration and Acoustics108(2): 197–206.
31.
Rokn-AbadiMAmirzadeganSFirouzabadiR, et al. (2023) Nonlinear modeling of a misaligned rotor under non-stationary operating conditions. Journal of Vibration and Control10775463231174269.
32.
ShinDPalazzoloAB (2021) Tilting pad journal bearing misalignment effect on thermally induced synchronous instability (morton effect). Journal of Tribology143(3).
33.
ShinDPalazzoloABTongX (2020) Squeeze film damper suppression of thermal bow-morton effect instability. Journal of Engineering for Gas Turbines and Power142(12).
34.
SmalleyA (1989) The dynamic response of rotors to rubs during startup. Journal of Vibration and Acoustics111(3): 226–233.
35.
TongXPalazzoloA (2018) Tilting pad gas bearing induced thermal bow-rotor instability (morton effect). Tribology International121: 269–279.
36.
UpadhyayNKankarP (2017) Dynamic analysis of rotor-bearing system by considering the transverse crack on rotor. European Journal of Computational Mechanics26(3): 336–350.
37.
WangS-MLuQ-STwizellE (2003) Reducing lateral vibration of a rotor passing through critical speeds by phase modulating. Journal of Engineering for Gas Turbines & Power125(3): 766–771.
38.
XiaYRenXQinW, et al. (2020) Investigation on the transient response of a speed-varying rotor with sudden unbalance and its application in the unbalance identification. Journal of Low Frequency Noise, Vibration and Active Control39(4): 1065–1086.
39.
YanabeSKanekoSKanemitsuY, et al. (1998) Rotor vibration due to collision with annular guard during passage through critical speed. Journal of Vibration and Acoustics120(2): 544–550.
40.
YangYYangYOuyangH, et al. (2019) Dynamic performance of a rotor system with an initial bow and coupling faults of imbalance-rub during whirling motion. Journal of Mechanical Science and Technology33(10): 4645–4657.
41.
ZapomělJFerfeckiP (2011) A computational investigation on the reducing lateral vibration of rotors with rolling-element bearings passing through critical speeds by means of tuning the stiffness of the system supports. Mechanism and Machine Theory46(5): 707–724.
42.
ZhangXHanQPengZ, et al. (2016) A comprehensive dynamic model to investigate the stability problems of the rotor–bearing system due to multiple excitations. Mechanical Systems and Signal Processing70: 1171–1192.
43.
ZhangSHassiniMAArghirM (2020), Stability analysis of the morton effect of rigid and flexible rotors, In: Turbo Expo: Power for Land, Sea, and Air. New York, NY: American Society of Mechanical Engineers, Vol. 84225, V10BT29A013.
44.
ZhuoMYangLXiaK, et al. (2019) A new computational method for predicting the thermal bow of a rotor. Proceedings of the Institution of Mechanical Engineers - Part C: Journal of Mechanical Engineering Science233(12): 4372–4380.
