Dynamic analysis of gear-rotor system with viscoelastic supports under residual shaft bow effect

Kang, Chung-Hao; Hsu, Wei‐Chun; Lee, E.K.; Shiau, T. N.

doi:10.1016/j.mechmachtheory.2010.11.011

Cited by 52 publications

(27 citation statements)

References 19 publications

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“…The elastic deformation including bending, shear, and teeth contact deformation is commonly caused by tooth surface load, and the ability to resist this elastic deformation is called single tooth meshing stiffness. 8 In order to get the meshing stiffness, normal contact deformation along the principal direction of tooth pair is calculated by loaded tooth contact analysis (LTCA) technology of herringbone gear. Fig.…”

Section: Time-varying Meshing Stiffnessmentioning

confidence: 99%

“…With the development of nonlinear dynamics, Theodossiades and Natsiavas 7 investigated dynamics of a gear-pair system involving backlash, and several types of periodic steady state response were identified by employing suitable methodologies. Based on the research of Shabaneh and Zu, 8 Kang and Hsu 9 presented a hybrid method to study the dynamic behaviours of a gear-rotor system with viscoelastic supports under effects of the residual shaft bow. Dynamic characteristic analysis of gearbox is also important for further mastering the stability of whole transmission system.…”

Section: Introductionmentioning

confidence: 99%

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New Method with Experimental Validation for Power Transmission Process Analysis on Herringbone Gear Train System

Wang¹,

Xing²,

Fang³

2017

IJAV

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To analyse the power transmission process of herringbone gear train system supported by rolling element bearings more accurately, meshing stiffness calculation method is firstly developed through tooth load contact analysis. The model of mesh impact force and the approach to calculate the equivalent friction torque coefficient in mixed elastohydrodynamic lubrication state are sequentially derived. The twelve-degree-of-freedom herringbone gear vibration model is finally established. Upon the consideration of different supporting ways between pinion and gear shaft, dynamic loads on support bearings are calculated separately. Based on rolling element bearing dynamic model and internal load distribution on bearings, comprehensive analysis of the vibration transmission process in meshing gear pair, rolling element bearings, and internal walls of gearbox bearing holes is conducted. Under the real dynamic load boundary condition, harmonic response and transient response of gearbox are obtained correspondingly. To evaluate the proposed model approach, a rolling element bearings support herringbone gear system is adopted to do real closed power flow vibration test. Simulation and experimental results show that the theoretical analysis in this paper is scientific and reasonable to calculate the dynamic load transfer process, and the maximum relative deviation between the theoretical results and the experimental data is less than 15%.

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Section: Time-varying Meshing Stiffnessmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

New Method with Experimental Validation for Power Transmission Process Analysis on Herringbone Gear Train System

Wang¹,

Xing²,

Fang³

2017

IJAV

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show abstract

“…Kim et al [9] analyzed the dynamic response of a spur gears by considering the pressure angle and the contact ratio as time-varying variables and a translational motion in the gear set due to bearing deformation. The effects of residual shaft bow and viscoelastic supports on dynamic response of a rotor-bearing system were investigated by Kang et al [10]. Chen et al [11] analyzed the interaction between gears, shafts and journal bearings in a geared rotor-bearing system.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of a geared rotor-bearing system with translational motion due to shaft deformation under residual shaft bow effect

Chen

Kuo²

2017

MATEC Web Conf.

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Abstract. In this paper, the dynamic response of a spur geared rotor-bearing system has been studied when the gear set has translational motion due to shaft deformation and residual shaft bow effect. A new dynamic model for the geared rotor-bearing system, considering translational motion and residual shaft bow effect, is proposed, in which the distance between the centers of two gears varies with time. Therefore, the proposed model regards gear pressure angle and contact ratio as time-varying variables, while the previous model regards them as constant. A finite element model of the geared rotor-bearing system developed, the equations of motion are obtained by applying Lagrange's equation. After deriving nonlinear equations of motion for the geared rotor-bearing system, the dynamic responses are computed by applying the fourth-order Runge-Kutta numerical method. The dynamic response including lateral response of two gears, gear pressure angle and contact ratio with different phase angle between two residual shafts are investigated. The results show that the magnitude of the residual shaft bow, the phase angle between two residual shafts will significantly affect gear pressure angle and contact ratio. This new model produces more accurate dynamic responses in comparison to those of the previous model.

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“…The tapered roller bearing (TRB) is widely used to compensate the installation errors along the axial and radial directions and the displacement by the movement of transmission system; the bearing stiffness in rotor-bearing system 2 Shock and Vibration can significantly affect the dynamic characteristics including natural frequencies and dynamic response [15]. In recent years, a theoretical analysis of lateral response and the optimization algorithm via the enhanced genetic algorithm was presented in [16].…”

Section: Introductionmentioning

confidence: 99%

Influence of Bearing Stiffness on the Nonlinear Dynamics of a Shaft-Final Drive System

Wan

Luo

2016

Shock and Vibration

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The bearing stiffness has a considerable influence on the nonlinear coupling vibration characteristics of the shaft-final drive system. A 14-DOF nonlinear coupled vibration model was established by employing the lumped mass method so as to identify the coupling effects of the bearing stiffness to the vibration response of the shaft-final drive system. The engine's torque ripple, the alternating load from the universal joint (U-joint), and the time-varying mesh parameters of hypoid gear of the shaft-final drive system were also considered for accurate quantitative analysis. The numerical analysis of the vibration response of the coupled system was performed and the experimental measurements were carried out for the validation test. Results show that, at the given driving speed, improving the bearing stiffness can reduce the vibration response of the given coupled system; however, when the bearing stiffness increases to a critical value, the effects of bearing stiffness on the vibration reduction become insignificant; when the driving speed changes, the resonance regions of the coupled system vary with the bearing stiffness. The results are helpful to determine the proper bearing stiffness and the optimum control strategy for the shaft-final drive system. It is hoped that the optimal shaft-final drive system can provide good vibration characteristics to achieve the energy saving and noise reduction for the vehicle application.

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Dynamic analysis of gear-rotor system with viscoelastic supports under residual shaft bow effect

Cited by 52 publications

References 19 publications

New Method with Experimental Validation for Power Transmission Process Analysis on Herringbone Gear Train System

New Method with Experimental Validation for Power Transmission Process Analysis on Herringbone Gear Train System

Dynamic analysis of a geared rotor-bearing system with translational motion due to shaft deformation under residual shaft bow effect

Influence of Bearing Stiffness on the Nonlinear Dynamics of a Shaft-Final Drive System

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