Research on gears’ dynamic performance influenced by gear backlash based on fractal theory

Chen, Qi; Ma, Yankun; Shouwu, Huang; Zhai, Hua

doi:10.1016/j.apsusc.2014.05.210

Cited by 66 publications

(34 citation statements)

References 11 publications

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“…Figure 1 shows torsional vibration model, which consists of two spur gears mounted on input and output axles [31]. Neglecting the backlash initially, the nonlinear dynamics model of the gear meshing movement can be described as [31,32]:…”

Section: Proposed Dynamic Model Of Cracked Gear Systemmentioning

confidence: 99%

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The nonlinear dynamics response of cracked gear system in a coal cutter taking environmental multi-frequency excitation forces into consideration

Zhu

et al. 2015

Nonlinear Dyn

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The normal operation of gear systems ensures the power transmission in coal cutters. Due to harsh work environment, the gears in coal cutters are prone to crack. By analyzing the gear dynamic response, useful crack detection indicators could be obtained. The literature review indicates that most of the gear dynamic models have been built with singlefrequency excitation, but very limited work has considered multi-frequency excitations. The coal cutter gear systems are always subjected to multi-frequency excitations. Hence, a nonlinear gear dynamic model taking multi-frequency excitations into account was established in this work. A meshing stiffness coefficient was defined to model the crack fault influence on the gear model. The amplitude-frequency of the model main resonance was analyzed by means of multi-scale method, and the model dynamic response was calculated by the incremental harmonic balance method. Numerical simulation results show that the dynamic response of the presented gear model provided strong chaotic characteristics and the chaotic degree of the gear dynamics increased with the deterioration of the crack level. Experimental validation was carried out on a real gearbox, and the analysis results were consistent with the simulations. Hence, the simulation and experimental analysis demonstrates that the multi-frequency excitation-based gear dynamic model was more correct than the single-frequency excitation-based model in representing the system dynamics.

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Section: Proposed Dynamic Model Of Cracked Gear Systemmentioning

confidence: 99%

“…is the external static load;m e d 2 e(t) dt 2 is the dynamic load caused by e(t); f (x(t)) is the backlash function, which is a nonlinear function and usually adopts the following expression [32] f (…”

Section: Proposed Dynamic Model Of Cracked Gear Systemmentioning

confidence: 99%

The nonlinear dynamics response of cracked gear system in a coal cutter taking environmental multi-frequency excitation forces into consideration

Zhu

et al. 2015

Nonlinear Dyn

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“…Hotait and Kahraman (2013) studied the relationship between the dynamic transmission error and the dynamic stress factor of spur gear pairs. Chen et al (2014) studied the gears' dynamic performance influenced by gear backlash based on fractal theory. Borner and Houser's (1996) research showed that although surface friction was small compared with transferring load, it was an important potential incentive to gear vibration.…”

Section: Introductionmentioning

confidence: 99%

Stability study of gear meshing area considering friction of tooth surface

Sun

Liang

et al. 2016

IJISE

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In order to study the spur gear's dynamic characteristics under the condition of considering tooth surface friction, tooth surface friction model is established based on Stribeck model and the change rule of friction coefficient is obtained. The vibration differential equations of single meshing area and double meshing area are established based on the friction coefficient and the numerical simulation of the vibration differential equations is carried out by using Runge-Kutta method, and the influence of various parameters on the system dynamic characteristics is obtained. It can be seen from the phase diagram and Poincare section that in the single meshing area and double meshing area, the following measures can enhance the stability of the system: increase the damping ratio, exciting frequency away from the resonance region, increase the load and reduce the gear backlash.Dehua Sun has received his Bachelor's degree from University of Science and Technology LiaoNing in 2012. Currently, he is studying for his Master's degree at the Northeastern University. He is specialising in machine design theory and mechanical dynamics. Stability study of gear meshing area considering friction of tooth surface467 Youjian Liang has received his Bachelor's degree from Yantai University in 2013. Currently, he is studying for his Master's degree at the Northeastern University. He is specialising in machine design theory and mechanical dynamics.Dan Wang has received her Bachelor's degree from Northeastern University in 2013. Currently, she is studying for her Master's degree at the Northeastern University. She is specialising in machine design theory.

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“…In addition, the backlash is an important factor to ensure smooth and reliable operation. Chen et al [10] investigated the dynamic backlash with the fractal feature and the effect of the dynamic backlash on the 2-DOF gear system. Li et al [11] researched TVMS that was affected by tooth profile changes and developed bifurcation characteristics of the gear system.…”

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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Research on gears’ dynamic performance influenced by gear backlash based on fractal theory

Cited by 66 publications

References 11 publications

The nonlinear dynamics response of cracked gear system in a coal cutter taking environmental multi-frequency excitation forces into consideration

The nonlinear dynamics response of cracked gear system in a coal cutter taking environmental multi-frequency excitation forces into consideration

Stability study of gear meshing area considering friction of tooth surface

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

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