Nonlinear Dynamic Analysis of Eccentric Curve-face Gear Transmission System

Lin, Chao; Yu, Wonpil; Hu, Yanan; Россия, Фгбун Институт прикладной механики Ран, г. Москва,; Yang, Yongquan

doi:10.1016/j.jsv.2021.116596

Cited by 10 publications

(4 citation statements)

References 21 publications

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“…Yousfi et al (2022) established a motor-gear dynamics model using the Lagrangian method and studied the dynamic response of the local gear tooth faults. Lin et al (2022) established an eccentric surface gear transmission system based on the Lagrangian equation and analyzed its dynamic characteristics. Kumar et al (2021) established an electromechanical model of single-stage spur gear with tooth root cracks based on the Lagrangian approach, and then they investigated the dynamic response.…”

Section: Introductionmentioning

confidence: 99%

A Lagrangian approach for the railway vehicle with gear system coupled model considering wheel polygonal faults under traction conditions

Zhao

Yang

et al. 2023

Journal of Vibration and Control

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The gear transmission system is one of the essential subsystems of railway vehicles. The wheel polygonalization can affect the gear transmission system’s condition monitoring and fault diagnosis, causing fatigue failure of the gear system and influencing driving safety. Therefore, to explore the mechanism of the wheel polygonalization in the gear system, this paper develops a Lagrangian form dynamic model of a railway vehicle with a gear transmission system. The model validation uses the data from the field test. The analysis explores the influence of the wheel polygonal fault on the gear transmission system under the traction condition. The results indicate that the wheel polygonal fault has amplitude/frequency modulation effects on the time/frequency response of the gear system. Also, the wheel polygonal fault causes the envelope of the speed curve to fluctuate periodically at a low frequency under traction conditions. The waveform asymmetry is gradually apparent as the traction continues. In the non-resonant region, the statistical analysis of the rotational speed fluctuation illustrates that the order of the wheel polygonal fault has more impact on the rotational speed fluctuation than the amplitude. Besides, in the resonance region, the eigenvalues of the system determine the magnitude of the amplitude.

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Section: Introductionmentioning

confidence: 99%

A Lagrangian approach for the railway vehicle with gear system coupled model considering wheel polygonal faults under traction conditions

Zhao

Yang

et al. 2023

Journal of Vibration and Control

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“…Dong et al 4,5 explored the influence of gear backlashes, distribution angle error, damping, load, and other factors on the torque distribution relationship of the face gear system. Lin et al 6 established the dynamic model of eccentric curved face gear transmission system, and studied the influence of input speed, bevel angle, and other parameters on its dynamic characteristics. Liu et al 7 studied the dynamic behavior of a non-circular 1 State Key Laboratory of Featured Metal Materials and Life-cycle Safety for Composite Structures, Guangxi University, Nanning, 530004, China gear and analyzed the influence of input speed, load torque, and error on system vibration and noise.…”

Section: Introductionmentioning

confidence: 99%

Study on nonlinear vibration and primary resonance characteristics of helicopter face gear-planetary gear coupling transmission system

Huang

Liu

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part K:

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In order to explore the dynamic response and primary resonance characteristics of the gear transmission system of the helicopter main reducer. The face gear-planetary gear torsion-translation vibration dynamics model is established, and the time-varying meshing stiffness, gear backlashes, gear eccentricity error, and friction are considered. The four-order variable-step Runge–Kutta was used to solve the dynamic response of the system, and the nonlinear dynamic characteristics of the system were described by time domain diagram, phase trajectory plane, Poincaré map, 3D frequency spectrum, and bifurcation diagram. Additionally, using the face gear-spur gear system's transmission as an example, the multi-scale method is used to analyze the face gear-spur gear system's primary resonance characteristics. The influence of load fluctuation amplitude, meshing damping, and meshing stiffness on its amplitude-frequency characteristics is also investigated. It is found that when external load excitation frequency changes, the vibration response of the whole system changes synchronously, which exhibits periodic, multi-periodic, and chaotic motion. In addition, according to the primary resonance analysis, the system's stability will be harmed by increasing the external load fluctuations’ amplitude, lowering the meshing damping, and raising the meshing stiffness.

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“…They identified diverse nonlinear behaviors of the system through global bifurcations. Lin et al [22] examined the dynamic response of an eccentric curve-face gear transmission model that considered effects of gear eccentricity, the time-varying helical angle, and the input velocity by employing the fourth-order RK method. They concluded that gear eccentricity can regulate the amplitude and frequency of the response.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Vibration of a Multi-Degree-of-Freedom Gear Transmission System With Multipiecewise Linear Functions

Liao

Huang

Zhu

2023

Journal of Computational and Nonlinear Dynamics

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Periodic and period-doubling vibrations in a gear transmission system subjected to forced excitations with multi-piecewise linear functions are investigated in this work by using the incremental harmonic balance (IHB) method. The nonlinear ordinary differential equations that govern vibration of the gear transmission system are formulated by employing the Newton's second law. Analytical results reveal abundant interesting phenomena, including jumps, bifurcations, softening-spring behaviors, and primary, super-harmonic, and sub-harmonic resonances, which have not been exhibited in existing investigations on nonlinear vibrations of gear transmission systems. Nonlinear phenomena and resonances of the gear transmission system are revealed by considering different numbers of degrees of freedom of the system. The bifurcations containing saddle-node, period-doubling, and Hopf bifurcations are observed in frequency response curves. The period-doubling phenomena are characterized with phase-plane diagrams and Fourier spectra. Further, analytical results obtained by the IHB method match very well with those from numerical integration.

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Nonlinear Dynamic Analysis of Eccentric Curve-face Gear Transmission System

Cited by 10 publications

References 21 publications

A Lagrangian approach for the railway vehicle with gear system coupled model considering wheel polygonal faults under traction conditions

A Lagrangian approach for the railway vehicle with gear system coupled model considering wheel polygonal faults under traction conditions

Study on nonlinear vibration and primary resonance characteristics of helicopter face gear-planetary gear coupling transmission system

Nonlinear Vibration of a Multi-Degree-of-Freedom Gear Transmission System With Multipiecewise Linear Functions

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