Influence of the movement of involute profile gears along the off-line of action on the gear tooth position along the line of action direction

Jedliński, Łukasz

doi:10.17531/ein.2021.4.16

Cited by 4 publications

(3 citation statements)

References 25 publications

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“…None of these studies has, however, managed to precisely determine the effect of gear displacement along the OLOA direction on the distance between teeth surfaces along the LOA direction. This relationship was precisely described in [29]. This will serve as a basis for determining the displacement due to eccentricity, considering the effect of the displacement along the OLOA direction on the displacement of the meshed teeth along the LOA direction.…”

Section: Eccentricity In Gearsmentioning

confidence: 99%

Influence of Gear Eccentricity with Non-Parallel Axis on the Dynamic Behaviour of a Gear Unit Using a Gear Slice Model with 26 Degrees of Freedom

Jedliński

2024

Adv. Sci. Technol. Res. J.

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This study investigates the problems of eccentricity and backlash using an analytical spur gear model with 26 degrees of freedom (DOF). Previous studies have only investigated the case of eccentricity with a parallel shift of the axis of rotation of the gear relative to its geometric axis of symmetry. This study presents a novel method for determining the radius of eccentricity and its angular position at any distance from the bearing support, in which the axis of rotation and the geometric axis of symmetry of the gear are non-parallel. The effect of gear motion in the line of action (LOA) and off-line of action (OLOA) directions on backlash is precisely determined, despite the fact that most studies usually ignore gear displacement along the OLOA direction. Numerical simulations are performed to determine the effect of eccentricity on backlash, and their results confirm that the proposed method for determining the radius of eccentricity for any eccentricity type is correct. A gear slice model is used for dynamic analysis. Results show that the type of eccentricity has a significant effect on the gear dynamics and that eccentricity analyses have to include other cases than merely eccentricity with parallel axes of gears.

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Section: Eccentricity In Gearsmentioning

confidence: 99%

Influence of Gear Eccentricity with Non-Parallel Axis on the Dynamic Behaviour of a Gear Unit Using a Gear Slice Model with 26 Degrees of Freedom

Jedliński

2024

Adv. Sci. Technol. Res. J.

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“…The reliability of the transmission is affected by various parameters, such as the coupling of cylindrical gears [11], gear pitting fault [14,22], assembly tolerances [21], bearing configuration [9] and can be detected by various methods such as (synchronous resample and adaptive variational mode decomposition) [31]. Detecting a large number of different parameters can increase the reliability of the system which was processed.…”

Section: Introductionmentioning

confidence: 99%

Reliability Evaluation of Transmission Planetary Gears “bottom-up” approach

Živković¹,

Milutinović²,

Tica³

et al. 2023

Eksploatacja i Niezawodność – Maintenance and Reliability

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The reliability study is the most important part of the engineering design process, as it is the basis of analysis and assessment of future product performance in exploitation. Since performance cannot be predicted with absolute certainty, the application of reliability theory includes probability theory and unreliability modeling. The proposed approach has been applied to assess the reliability of gear planetary power transmissions. The assessment of system reliability was determined on the basis of the block diagram method, as a function of the reliability of individual components, calculated by statistical analysis. Using the Weibull model, the reliability of the planetary gear was defined on the basis of the probability of failure of the gear teeth and the results were interpreted to assess the reliability of the component and the entire planetary train. For a more precise assessment of reliability and to avoid modeling every failure and mode of occurrence, a competitive risk model was developed. The reliability assessment study was conducted with a “bottom-up” approach. Reliability has been assessed, for instantaneous, estimated and assigned failures rate of planetary train and component.

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“…Wang and Zhu [16] put forward a nonlinear dynamic model of a GTF gearbox with time-varying backlash, and investigated the dynamic characteristics from the time domain and frequency domain. Jedli ński [17] focused on the influence of the off-line-of-action (OLOA) direction displacement on the distance between the meshing tooth surfaces along the line of action (LOA) and established a 12-DOFs analytical model. The results show that the influence of the OLOA displacement on the distance between the meshing tooth surfaces could not be neglected when the OLOA displacement was significant.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamic Modeling and Analysis for a Spur Gear System with Dynamic Meshing Parameters and Sliding Friction

Liu

Zhang

Liu³

et al. 2023

Symmetry

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The performance of gear systems is closely related to the meshing parameters and sliding friction. However, the time-varying characteristics of meshing parameters caused by transverse vibration are usually not regarded and the sliding friction has always been ignored in previous studies. Therefore, the influence of the transverse vibration on meshing parameters and sliding friction have not been considered. In view of this, a nonlinear dynamic model for a spur gear system is proposed. The dynamic meshing parameters (pressure angle, backlash, etc.) and the effects of the variations of these parameters on the dynamic mesh force (DMF) and sliding friction are emphasized. The differential equations of motion are derived by the Lagrange method and solved by the Runge–Kutta method. Then, the input speed and friction coefficient are used as control parameters to compare the dynamic responses of the new and previous models. The results show that the meshing parameters and sliding friction are affected by transverse vibration, leading to distinctive nonlinear dynamic responses. This paper can provide a basis for further research and give a better understanding of system vibration control.

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Influence of the movement of involute profile gears along the off-line of action on the gear tooth position along the line of action direction

Cited by 4 publications

References 25 publications

Influence of Gear Eccentricity with Non-Parallel Axis on the Dynamic Behaviour of a Gear Unit Using a Gear Slice Model with 26 Degrees of Freedom

Influence of Gear Eccentricity with Non-Parallel Axis on the Dynamic Behaviour of a Gear Unit Using a Gear Slice Model with 26 Degrees of Freedom

Reliability Evaluation of Transmission Planetary Gears “bottom-up” approach

Nonlinear Dynamic Modeling and Analysis for a Spur Gear System with Dynamic Meshing Parameters and Sliding Friction

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