Nonlinear Vibration Analysis of Turbocharger Rotor Supported on Rolling Bearing by Modified Incremental Harmonic Balance Method

High-speed rolling bearings exhibit low friction, high mechanical efficiency, low lubrication requirements, and excellent acceleration performance. The replacement of floating ring bearings in turbochargers with rolling bearings is an important tendency for modern turbochargers. However, due to the...

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Main Authors: Tangwei Li, Hulun Guo, Zhenyu Cheng, Rixiu Men, Jun Li, Yushu Chen
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Machines
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Online Access:https://www.mdpi.com/2075-1702/13/5/360
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author Tangwei Li
Hulun Guo
Zhenyu Cheng
Rixiu Men
Jun Li
Yushu Chen
author_facet Tangwei Li
Hulun Guo
Zhenyu Cheng
Rixiu Men
Jun Li
Yushu Chen
author_sort Tangwei Li
collection DOAJ
description High-speed rolling bearings exhibit low friction, high mechanical efficiency, low lubrication requirements, and excellent acceleration performance. The replacement of floating ring bearings in turbochargers with rolling bearings is an important tendency for modern turbochargers. However, due to the nonlinearity in rolling bearings, the nonlinear vibration characteristics of the turbocharger rotor system need to be clearly revealed. The turbocharger rotor is modeled by a lumped mass model. The nonlinear rolling bearing model is derived using the Hertz contact theory. The vibration responses of the nonlinear system are obtained by the modified incremental harmonic balance (MIHB) method. The results demonstrate that the MIHB method significantly improves computational efficiency compared to the traditional fourth-order Runge–Kutta method for solving this class of problems while also being capable of obtaining complete solution branches of the system. The stability of the responses is determined by the Floquet theory. Based on the present rotor dynamic model, the conical mode and cylindrical mode are found. Resonance peaks at 4.5 × 10<sup>4</sup> rpm (conical mode) and 1.1 × 10<sup>5</sup> rpm (bending mode) are identified as critical vibration thresholds. Moreover, the vibration amplitude results show that the resonance peak of the bending mode is mainly due to the nonlinearity of the rolling bearings, which also causes the amplitude jumping phenomenon. Changing the parameters of the rolling bearing could avoid the resonance peak appearing in the working speed range. The amplitude of the system under different rotating speeds could be suppressed by choosing the appropriate parameters of the rolling bearing.
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spelling doaj-art-d33d13d6775f49e6892e9bc947b941c32025-08-20T02:33:50ZengMDPI AGMachines2075-17022025-04-0113536010.3390/machines13050360Nonlinear Vibration Analysis of Turbocharger Rotor Supported on Rolling Bearing by Modified Incremental Harmonic Balance MethodTangwei Li0Hulun Guo1Zhenyu Cheng2Rixiu Men3Jun Li4Yushu Chen5National Key Laboratory of Vehicle Power System, Tianjin Key Laboratory of Nonlinear Dynamics and Control, Tianjin University, Tianjin 300072, ChinaNational Key Laboratory of Vehicle Power System, Tianjin Key Laboratory of Nonlinear Dynamics and Control, Tianjin University, Tianjin 300072, ChinaNational Key Laboratory of Vehicle Power System, China North Engine Research Institute, Tianjin 300400, ChinaNational Key Laboratory of Vehicle Power System, China North Engine Research Institute, Tianjin 300400, ChinaHarbin FRP Institute Co., Ltd., Harbin 150030, ChinaNational Key Laboratory of Vehicle Power System, Tianjin Key Laboratory of Nonlinear Dynamics and Control, Tianjin University, Tianjin 300072, ChinaHigh-speed rolling bearings exhibit low friction, high mechanical efficiency, low lubrication requirements, and excellent acceleration performance. The replacement of floating ring bearings in turbochargers with rolling bearings is an important tendency for modern turbochargers. However, due to the nonlinearity in rolling bearings, the nonlinear vibration characteristics of the turbocharger rotor system need to be clearly revealed. The turbocharger rotor is modeled by a lumped mass model. The nonlinear rolling bearing model is derived using the Hertz contact theory. The vibration responses of the nonlinear system are obtained by the modified incremental harmonic balance (MIHB) method. The results demonstrate that the MIHB method significantly improves computational efficiency compared to the traditional fourth-order Runge–Kutta method for solving this class of problems while also being capable of obtaining complete solution branches of the system. The stability of the responses is determined by the Floquet theory. Based on the present rotor dynamic model, the conical mode and cylindrical mode are found. Resonance peaks at 4.5 × 10<sup>4</sup> rpm (conical mode) and 1.1 × 10<sup>5</sup> rpm (bending mode) are identified as critical vibration thresholds. Moreover, the vibration amplitude results show that the resonance peak of the bending mode is mainly due to the nonlinearity of the rolling bearings, which also causes the amplitude jumping phenomenon. Changing the parameters of the rolling bearing could avoid the resonance peak appearing in the working speed range. The amplitude of the system under different rotating speeds could be suppressed by choosing the appropriate parameters of the rolling bearing.https://www.mdpi.com/2075-1702/13/5/360turbochargerrolling bearingnonlinear dynamicsrotor-bearing systemmodified incremental harmonic balance method
spellingShingle Tangwei Li
Hulun Guo
Zhenyu Cheng
Rixiu Men
Jun Li
Yushu Chen
Nonlinear Vibration Analysis of Turbocharger Rotor Supported on Rolling Bearing by Modified Incremental Harmonic Balance Method
Machines
turbocharger
rolling bearing
nonlinear dynamics
rotor-bearing system
modified incremental harmonic balance method
title Nonlinear Vibration Analysis of Turbocharger Rotor Supported on Rolling Bearing by Modified Incremental Harmonic Balance Method
title_full Nonlinear Vibration Analysis of Turbocharger Rotor Supported on Rolling Bearing by Modified Incremental Harmonic Balance Method
title_fullStr Nonlinear Vibration Analysis of Turbocharger Rotor Supported on Rolling Bearing by Modified Incremental Harmonic Balance Method
title_full_unstemmed Nonlinear Vibration Analysis of Turbocharger Rotor Supported on Rolling Bearing by Modified Incremental Harmonic Balance Method
title_short Nonlinear Vibration Analysis of Turbocharger Rotor Supported on Rolling Bearing by Modified Incremental Harmonic Balance Method
title_sort nonlinear vibration analysis of turbocharger rotor supported on rolling bearing by modified incremental harmonic balance method
topic turbocharger
rolling bearing
nonlinear dynamics
rotor-bearing system
modified incremental harmonic balance method
url https://www.mdpi.com/2075-1702/13/5/360
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