Effects of the gear eccentricities on the dynamic performance of a planetary gear set

Cao, Zheng; Shao, Yimin; Rao, Meng; Yu, Wennian

doi:10.1007/s11071-017-3738-0

Cited by 58 publications

(25 citation statements)

References 23 publications

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“…In this section, a planetary gear dynamic lumped-parameter model is built considering the planet fault and sun gear fault by mesh stiffness changes. The shaft oscillation, or IAS, is solved by Runge-Kutta method [41] to investigate the accuracy requirement of the IAS measurement system and find out which shaft is more sensitive for PG fault diagnosis.…”

Section: Characteristics Of Pg By Modelling and Simulation Studiesmentioning

confidence: 99%

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Planetary Gear Fault Diagnosis Based on An Instantaneous Angular Speed Measurement System With a Dual Detector Setup

Zeng

Feng²,

Shao

et al. 2020

IEEE Access

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Planetary Gearbox (PG) is widely used in many vital transmission systems with the advantages such as high power-weight ratio and high load capacity. To maintain the performance of these system, extensive attentions are paid in the vibration signal analysis for early fault detection and diagnosis of PGs. However, vibration signals are less accurate as they severely influenced by multi-interfaces energy dissipation and varying transmission paths. In contrast, Instantaneous Angular Speed (IAS) is directly related to the gear dynamics and free from the path varying effect. This paper evaluates the performance of an improved IAS measurement system to diagnose PG faults, in which a dual detector setup is adopted to suppress IAS errors caused by the setting parameters and encoder errors. Firstly, a PG dynamic model is established to simulate IAS responses from a PG with local faults on sun and planet gears. Secondly, the noise level of the demodulated IAS is studied under different system parameter configurations. Subsequently, a dual detector self-denoising method is developed to suppress the false IAS caused by encoder errors. Finally, the performance of proposed IAS measurement system is evaluated based on an industrial PG with sun and planet faults. Experimental results show PG faults can be effectively diagnosed from the simple IAS order spectra, indicating that the proposed IAS measurement system is a more promising and yet lower costing approach to monitor rotating machines.INDEX TERMS Planetary gear, fault diagnosis, dual detector; instantaneous angular speed, encoder error suppression.

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Section: Characteristics Of Pg By Modelling and Simulation Studiesmentioning

confidence: 99%

“…Sun gear fault and planet fault are considered in the PG dynamic model. Its characteristic IAS dynamic response is obtained by solving the equations of motion with Runge-Kutta method [41].…”

Section: B Simulation Of Ias Characteristicsmentioning

confidence: 99%

Planetary Gear Fault Diagnosis Based on An Instantaneous Angular Speed Measurement System With a Dual Detector Setup

Zeng

Feng²,

Shao

et al. 2020

IEEE Access

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“…Aiming to obtain the boundary conditions for EHL model, such as meshing forces and speeds between gears, the dynamic model of planetary gear set that considers friction is established in this section, which consists of one sun gear ( s ), one carrier ( c ), one ring ( r ), and N planets ( p ) with the rotational motion of the ring gear constrained, 24–26 as illustrated in Figure 4. Each element has 3 DOFs with one rotation u j and two translations x j , y i ( j = c, r, s , 1, 2, …, N ).…”

Section: Meshing Power Loss Calculation Of Planetary Gear Setmentioning

confidence: 99%

Effect of roughness on meshing power loss of planetary gear set considering elasto-hydrodynamic lubrication

Wang

Chen

et al. 2020

Advances in Mechanical Engineering

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Meshing power loss is one of the most important parts in power loss calculation of planetary gear set. However, most of the conventional methods assumed the friction coefficient between gears as a constant value in the meshing power loss calculation, and most importantly, the influence of gear tooth surface geometry is usually ignored, for example, roughness. Therefore, a new meshing power loss calculation model for planetary gear set that considers tooth surface roughness is proposed on the basis of elasto-hydrodynamic lubrication method. With the proposed model, a planetary gear set dynamic model that considers friction force between gears is first established to study the time-varying meshing forces, sliding speeds, and curvature radii of the gear pairs. Then, an elasto-hydrodynamic lubrication model of the gear pair contact interface is constructed to investigate and modify the friction force distribution in the gear meshing process of the dynamic model iteratively until the meshing forces converge to stable values. Furthermore, the relationship between the tooth surface roughness and film thickness is studied in the elasto-hydrodynamic lubrication model. After that, the meshing power loss is calculated based on the obtained meshing forces, friction coefficients, sliding speeds, and so on. The results show that there is a sudden growth of the meshing power loss at the end of the meshing cycle, which has a good agreement with the meshing force impact. And, it is found that tooth surface roughness has a direct influence on the meshing power loss of sun–planet gear pair, which yields an increasing tendency as the surface roughness growing.

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“…However, in order to be more tally with the actual situation, more and more scholars developed dynamic factors and the timevarying parameters on gear-bearing system or gear-rotorbearing system. Cao Z et al [5] studied dynamic responses in the planetary gear system, in which gear eccentricity was taken into consideration and observed meshing stiffness changes due to the time-varying center distance and gear eccentricity. Lu JW et al [6] established a dynamic model of the gear transmission system with the stochastic perturbation of parameters.…”

Section: Introductionmentioning

confidence: 99%

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

Liu

She

Zhao

et al. 2019

International Journal of Rotating Machinery

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Effect of dynamic backlash and rotational speed is investigated on the six-degree-of-freedom model of the gear-bearing system with the time-varying meshing stiffness. The relationship between dynamic backlash and center distance can be defined clearly. The nonlinear differential equations of the model are solved by the Newmark-β method. The results show that system amplitude increases in the wake of increasing rotational speed. After reaching a certain rotational speed, the system jumps from periodic motion to chaos motion, and the effective amplitude is changed violently. Comparing the dynamic backlash with fixed backlash, the amplitude of the dynamic backlash is augmented and the frequency components are diversified. The vibration displacement is enlarged by the dynamic backlash and the chaotic behavior of the system becomes complex with increasing rotational speed. The numerical results provide a useful reference source for engineers to select rotational speed section for steady running.

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Effects of the gear eccentricities on the dynamic performance of a planetary gear set

Cited by 58 publications

References 23 publications

Planetary Gear Fault Diagnosis Based on An Instantaneous Angular Speed Measurement System With a Dual Detector Setup

Planetary Gear Fault Diagnosis Based on An Instantaneous Angular Speed Measurement System With a Dual Detector Setup

Effect of roughness on meshing power loss of planetary gear set considering elasto-hydrodynamic lubrication

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

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