Dynamic Characteristics of Spur Gear Pair with Dynamic Center Distance and Backlash

Liu, Jie; She, Liu; Zhao, Weiqiang; Zhang, Lei

doi:10.1155/2019/2040637

Cited by 6 publications

(4 citation statements)

References 13 publications

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“…Zhu et al [5] proposed a GTS dynamic model considering the elastic support of gearbox. Liu et al [6] established a gear transmission dynamic model to study the nonlinear characteristics of a gear pair with variable center distance. Howard et al [7] established a simplified gear transmission system dynamic model, which considered the gear tooth torsion and time-varying meshing stiffness.…”

Section: Introductionmentioning

confidence: 99%

Dynamic modeling and vibration analysis of a flexible gear transmission system

Liu

Xia

2023

Mechanical Systems and Signal Processing

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Section: Introductionmentioning

confidence: 99%

Dynamic modeling and vibration analysis of a flexible gear transmission system

Liu

Xia

2023

Mechanical Systems and Signal Processing

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“…2 The two-dimensional simulation results of the rough surface profile and the actual pressure angle in turn. Then the actual center distance of the gear is expressed by [18]: Therefore, the actual pressure angle is as follows:…”

Section: Multi-clearance Couplingmentioning

confidence: 99%

“…Yi et al [17] set up a gear system model in which the time-varying pressure angles and central distances were considered and the influence of time-varying pressure angles on the dynamic characteristics of the system was studied. Liu et al [18] analyzed gear-bearing systems with dynamic central distances and backlash using the Newmark-β method. Zhang et al [19] established a gearbearing model and analyzed the amplitude of dynamic transfer error (DTE) in the time domain considering multiple clearances.…”

Section: Introductionmentioning

confidence: 99%

Chaos Analysis of Single-Stage Spur Gear System Considering Backlash Fractal

Wang

Ren

2022

J. Vib. Eng. Technol.

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Purpose Considering the time-varying pressure angle and dynamic clearance, the effects of rotational speed, tooth surface friction, and tooth surface morphology on the system’s dynamic response are studied. Method An improved gear nonlinear model is proposed, which considered nonlinear factors such as time-varying pressure angle, position angle, tooth surface morphology, and tooth surface friction. The time-varying dynamic backlash is deduced, and the nonlinear dynamic equation of the gear is established. The nonlinear dynamic response of the gear system is obtained based on Runge–Kutta method. Results The influence of the rotational speed and tooth surface friction on single-stage spur gear system response is analyzed through the analysis of the bifurcation diagram, the three-dimensional spectrum diagram, the proportion of the meshing state, and the largest dynamic meshing force (LDMF). Dynamic response differences between the three different model are compared. In addition, by changing the tooth surface roughness and fractal dimension, the influence of tooth surface morphology on the dynamic response of the system is studied. Conclusion Compared with the traditional model, when the dynamic center distance and dynamic pressure angle are considered, the system response may enter a chaotic state earlier. When the tooth surface friction is further considered, the chaotic state of the system response is suppressed. At the same time, the velocity of the dynamic transmission error is significantly reduced, and the fluctuation amplitude of the dynamic pressure angle is increased. The value of LDMF rose overall. The stability of the system response decreases with the increase of tooth surface roughness and fractal dimension. Compared with the fractal dimension, the tooth surface roughness has a more obvious effect on the dynamic response of the system.

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“…Liu et al. 23 investigated the dynamic backlash, which was affected by the dynamic center distance. The effect of the dynamic backlash and dynamic mesh angle was studied.…”

Section: Introductionmentioning

confidence: 99%

Dynamic characteristics analysis of a high-speed-level gear transmission system of a wind turbine considering a time-varying wind load and an electromagnetic torque disturbance

Liu

Zhao

Liu

2021

Journal of Low Frequency Noise, Vibration and Active Control

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A high-speed-level gear transmission system model of a wind turbine is presented considering a time-varying wind load and an electromagnetic torque disturbance, along with eccentricity, dynamic backlash, and friction force. The auto-regressive model is employed for simulating the time-varying wind load in the realistic wind field as external excitation. A doubly fed induction generator model of the wind turbine is established to calculate the disturbance quantity of electromagnetic torque. The nonlinear differential equations of the system are strictly deduced using Lagrange equation and solved by the fourth-order Runge-Kutta method. The effect of friction on the dynamic response of the high-speed-level gear transmission system is analyzed with the time-varying wind load and the electromagnetic torque disturbance. These results show that the friction force is critical because frequency amplitude and components can be changed by it. The friction force also enlarges vibration displacement. The low-frequency components in the vertical direction are affected gravely by the friction force without electrical disturbance. In addition, sidebands exist in the vicinity of the low-frequency parts as the electromagnetic torque disturbance appears at the output end. The amplitude of the low-frequency component is further increased because of electromagnetic torque disturbance. This shows the frequency characteristics of the slight gear system fault. The study offers some fresh references into the design and diagnosis of the gear system.

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Dynamic Characteristics of Spur Gear Pair with Dynamic Center Distance and Backlash

Cited by 6 publications

References 13 publications

Dynamic modeling and vibration analysis of a flexible gear transmission system

Dynamic modeling and vibration analysis of a flexible gear transmission system

Chaos Analysis of Single-Stage Spur Gear System Considering Backlash Fractal

Dynamic characteristics analysis of a high-speed-level gear transmission system of a wind turbine considering a time-varying wind load and an electromagnetic torque disturbance

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