Dynamic Model of Variable Speed Process for Herringbone Gears Including Friction Calculated by Variable Friction Coefficient

Liu, Changzhao; Qin, Datong; Liao, Y. Gene

doi:10.1115/1.4026572

Cited by 36 publications

(27 citation statements)

References 14 publications

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“…The time varying mesh stiffness and backlash were neglected in their work. Liu et al [21]. used a simple lump-mass model to study the herringbone gear pair with mesh friction and profile error.…”

Section: Introductionmentioning

confidence: 99%

Rotordynamics analysis of a double-helical gear transmission system

Chen

Tang

et al. 2015

Meccanica

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The rotordynamics of a double-helical gear transmission system is investigated. The equation of motion of the system with bearing and gyroscopic effect is derived by using the finite element method, in which Timoshenko beam finite element is used to represent the shaft, a rigid mass for the gear. Natural frequencies, mode shapes and Campbell diagrams are illustrated to indicate the effects of gear input speed and time varying mesh stiffness. Besides, effects of mesh stiffness on the critical speed of the gear transmission system are analyzed. The numerical results show that the axial force has significant influence on the natural frequency and the mode shape of the double-helical gear transmission system, for which the mix whirling motion dominates the natural characteristics. There are two higher critical speed curves which increase with the mesh stiffness, but one of them is related to the gyroscopic effect.

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Section: Introductionmentioning

confidence: 99%

Rotordynamics analysis of a double-helical gear transmission system

Chen

Tang

et al. 2015

Meccanica

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“…Mpiiw, Xpiiw are the gear mass matrix and displacement vector, respectively. Kpiw and Cpiw represent the gear pair meshing stiffness and damping (Liu et al, 2014), respectively. Tmi is the input torque of gear.…”

Section: Model Of Parallel Axis Gearmentioning

confidence: 99%

“…6 shows the model of planetary gear set. According to reference (Liu et al, 2014), the differential equations of sun-planet and planet-ring can be transformed into the following matrix form:…”

Section: Model Of Planetary Gearmentioning

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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“…where , , denote the base circle radii of the sun gear, planet gear, and ring gear respectively, is the angle between the normal direction of the meshing line and the positive -axis which can be expressed as = ± . The plus or minus sign changes as the sun gear direction of rotation alters [22]. And denotes the meshing angle, denotes the installation phase angle of the planet gear.…”

Section: Overall System Modelmentioning

confidence: 99%

Analytical coupling characterization of multi-stage planetary gear free vibration considering flexible structure

Zhang¹,

Wei²,

Qin³

et al. 2017

J. vibroeng.

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The mode characteristics and the parameter sensitivity for a two-stage NGW spur planetary gear system are studied based on the principles of structure natural dynamical characteristics. Considering the influence of flexible structure including shaft, the planet carrier, and the ring-gear, the coupled lateral-torsional-axial vibration dynamical model of the planetary gear system is established under the generalized coordinate system using the shafting element method. With the model, the natural frequency and vibration mode are solved, and the results indicate that the flexibility of ring-gear has a greater effect on natural frequency. Several distinct types of vibration mode are summarized, such as planet torsional mode, sun-gear shaft axial mode, ring-gear axial mode and so on. However, the translational mode which is one of the modes in the coupled lateral-torsional lumped mass model is not found in this study. Within the scope of the time-varying, mesh stiffness mainly affects the planet torsional mode of corresponding stage. Furthermore, the variation of radial bearing stiffness will also do effect on axial vibration mode, and the variation of bearing stiffness not only affects the vibration modes of adjacent stage of planetary gear train, but also affects the nonadjacent stage. The results demonstrate the coupling characteristics of the system under the free vibration condition.

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Dynamic Model of Variable Speed Process for Herringbone Gears Including Friction Calculated by Variable Friction Coefficient

Cited by 36 publications

References 14 publications

Rotordynamics analysis of a double-helical gear transmission system

Rotordynamics analysis of a double-helical gear transmission system

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

Analytical coupling characterization of multi-stage planetary gear free vibration considering flexible structure

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