Frequency spectrum and vibration analysis of high speed gear-rotor system with tooth root crack considering transmission error excitation

Hu, Zehua; Tang, Jinyuan; Zhong, Jue; Chen, Siyu

doi:10.1016/j.engfailanal.2015.11.021

Cited by 39 publications

(14 citation statements)

References 27 publications

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“…The mass matrix, gyroscopic matrix, and stiffness matrix of the shaft can be found in the appendix of literature. 17,21,22 Supporting bearing. The geared shaft rotor system is supported by four balling bearings, which can be simplified as a spring-damper element.…”

Section: Coupled Lateral-torsional Geared Shaft Rotor Dynamic Modelmentioning

confidence: 99%

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Analysis of coupled lateral-torsional vibration response of a geared shaft rotor system with and without gyroscopic effect

Tang

Chen

2018

Proceedings of the Institution of Mechanical Engineers, Part C:

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A torsional gear dynamic model and a coupled lateral-torsional geared shaft rotor dynamic model are developed considering the time-varying mesh stiffness, backlash, and static transmission error excitation. The torsional dynamic transmission error responses gained from the torsional gear dynamic model and coupled lateral-torsional geared shaft rotor dynamic model are compared. The natural frequencies and mode shapes of the geared shaft rotor system are given and the frequency whirling behaviors are analyzed based on the Campbell diagram. The influences of gyroscopic effects of rotating shafts and meshing gear rotors on the lateral-torsional vibration responses of the geared shaft rotor system are talked about and some conclusions are drawn. (1) The coupled lateral-torsional geared shaft rotor dynamic model could reflect the jump phenomenon of dynamic responses near the critical speed of the gear pair as well as the pure torsional gear dynamic model and it can give more vibration features caused by geared shaft and bearings than the torsional gear dynamic model. (2) When the gear pair is set in the midpoint of the shaft, the influences of the gyroscopic effects on the gear pair’s lateral vibration responses are light and only can be observed near the high critical speeds. However, when the displacements from the gear body to the bearings are not the same, the influences of the gyroscopic effects on the lateral and torsional vibration responses are obvious and can be located both near the low critical speeds and the high critical speeds corresponding to the forward and backward whirling frequency. (3) The influences of the gyroscopic effects on the lateral and torsional vibration responses of the pinion are more obvious than those on the vibration responses of the gear. In addition, relative to the torsional vibration, the lateral vibration of the gear pair is more easily affected by the gyroscopic effect.

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Section: Coupled Lateral-torsional Geared Shaft Rotor Dynamic Modelmentioning

confidence: 99%

“…The mass matrix, gyroscopic matrix, and stiffness matrix of the shaft can be found in the appendix of literature. 17,21,22…”

Section: System Dynamic Modelsmentioning

confidence: 99%

Analysis of coupled lateral-torsional vibration response of a geared shaft rotor system with and without gyroscopic effect

Tang

Chen

2018

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…where Kbi and Cbi represent the ith bearing stiffness matrix and damping matrix; Xbi represents the ith bearing displacement column vector; Mbi represents the ith bearing mass matrix. The concrete expression form of the matrices can be obtained from reference (Hu et al, 2016).…”

Section: Model Of Supporting Bearingmentioning

confidence: 99%

Influence of motor fault on synchronization and dynamic characteristics of a multi-motor driving system

Shu

Wei

Qin

2018

JAMDSM

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An increasing number of multi-motor driving systems (MMDSs) appear in the new energy, transportation and aerospace owing to its high reliability, small weight and size, and other beneficial features. Multiple motors drive the gear assembly in these transmission systems. Uneven load distribution (torque or speed synchronization issues) and motor fault are the most likely problems in their usage. The interaction between the motor and the gear transmission system plays a major role in the synchronization and dynamic characteristics of MMDS, especially when a motor fault occurs. Therefore, the influence of a motor fault on the synchronization and dynamic characteristics of MMDS will be investigated. An electromechanical coupling dynamic model of MMDS is established by using node finite element method. The numerical calculation is used to predict the synchronization and dynamic characteristics of system, and the experiment is performed to validate the model. Results show that the speed synchronization characteristic between the non-fault motors is affected less by the motor fault; However, the motor fault has a relatively large influence on the torque synchronization characteristic and the stator current synchronization characteristic between the non-fault motors. In addition, the motor fault has an important influence on the dynamic characteristics of the system; it not only increases the dynamic responses amplitude, but also slightly changes the compositions of the excitation frequency. In the practical engineering, the stator current can be selected as the feedback signal to monitor the output torque and torque synchronization characteristic of motor.

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“…Ma and Chen [19] established a 4-DOF gear system to investigate the dynamic characteristics and vibration responses with local failure and explore the failure mechanism. Hu et al [20] presented a finite element node dynamic model for gear with crack. e RMS (rootmean-square) of the gear system parameters, vibration waveform, and frequency spectra were analyzed.…”

Section: Introductionmentioning

confidence: 99%

Frequency and Vibration Characteristics of High-Speed Gear-Rotor-Bearing System with Tooth Root Crack considering Compound Dynamic Backlash

Liu

Zhao

Liu

2019

Shock and Vibration

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Considering the microstructure of tooth surface and the dynamic characteristics of the vibration responses, a compound dynamic backlash model is employed for the gear transmission system. Based on the fractal theory and dynamic center distance, respectively, the dynamic backlash is presented, and the potential energy method is applied to compute the timevarying meshing stiffness, including the healthy gear system and the crack fault gear system. en, a 16-DOF coupled lateraltorsional gear-rotor-bearing transmission system with the crack fault is established. e fault characteristics in the timedomain waveform and frequency response and statistics data are described. e effect of crack on the time-varying meshing stiffness is analyzed. e vibration response of three backlash models is compared. e dynamic response of the system is explored with the increase in crack depth in detail. e results show that the fault features of countershaft are more obvious. Obvious fluctuations are presented in the time-domain waveform, and sidebands can be found in the frequency domain responses when the tooth root crack appears. e effect of compound dynamic backlash on the system is more obvious than fixed backlash and backlash with changing center distance. e vibration displacement along meshing direction and dynamic meshing force increases with the increase in crack depth. Backlash and variation of center distance show different tendencies with increasing crack depth under different rotational speeds. Amplitude of the sidebands increases with crack depth increasing. e amplitude of multiplication frequency of rotational frequency has an obvious variation with growing crack depth. e sidebands of the multiplication frequency of meshing frequency show more details on the system with complex backlash and crack fault.

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Frequency spectrum and vibration analysis of high speed gear-rotor system with tooth root crack considering transmission error excitation

Cited by 39 publications

References 27 publications

Analysis of coupled lateral-torsional vibration response of a geared shaft rotor system with and without gyroscopic effect

Analysis of coupled lateral-torsional vibration response of a geared shaft rotor system with and without gyroscopic effect

Influence of motor fault on synchronization and dynamic characteristics of a multi-motor driving system

Frequency and Vibration Characteristics of High-Speed Gear-Rotor-Bearing System with Tooth Root Crack considering Compound Dynamic Backlash

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