An analytical study on the combination of profile relief and lead crown minimizing transmission error in narrow-faced helical gears

Bruyère, Jérôme; Velex, Philippe; Guilbert, Bérengère; Houser, Donald R.

doi:10.1016/j.mechmachtheory.2019.03.005

Cited by 23 publications

(8 citation statements)

References 30 publications

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“…Alongside those advanced models, several multibody approaches have been developed to reduce the computational times while retaining a good degree of accuracy, such as [151] in which the need to precompute quantities usually treated as inputs, such as the STE and the TV MS is removed, or using different model order reduction techniques such as [152] or [153]. Several attempts have also been made with the goal to minimize the variation of the TV MS such as [154,155] and also for the bending stress in dynamic conditions in [156]. Some focus has also been shifted to the predesign phase of the engineering process to design a gearbox by introducing quicker, yet reliable, results for example using a block-oriented approach as in [157] or with the application of the harmonic balance method in [158].…”

Section: Future Perspectives and Conclusionmentioning

confidence: 99%

Sources of Excitation and Models for Cylindrical Gear Dynamics: A Review

Bruzzone

Rosso

2020

Machines

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In this paper, a review of the evolution of the study of cylindrical gear dynamics is presented. After a brief historical introduction to the field, the first attempts to describe the complex interactions in those systems are analyzed introducing the dynamic factor and the first methodologies used to compute it. Next, the sources of excitation in geared systems are analyzed in detail and the models of the various contributions are discussed. Then, the paper focuses on the use of those sources in several dynamic models which are wildly different in terms of scope, applicability, complexity and methodology employed, ranging from simple analytical models, to lumped masses models up to multibody and finite element models. Finally, an outlook to the future evolution of the field is given and conclusions are drawn.

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Section: Future Perspectives and Conclusionmentioning

confidence: 99%

Sources of Excitation and Models for Cylindrical Gear Dynamics: A Review

Bruzzone

Rosso

2020

Machines

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“…When the amplitude of transmission errors is reduced, the vibration of the gear system will become weak. Profile modification has been widely used in the helical gear system [21,[33][34]. Thus, it is necessary to understand the effect of random cumulative pitch deviations on the vibration responses of modified HGRS.…”

Section: Design Of Modification Parametersmentioning

confidence: 99%

Quasi-Static Characteristics and Vibration Responses Analysis of Helical Geared Rotor System with Random Cumulative Pitch Deviations

Yuan

Liu

2020

Applied Sciences

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As one of the long period gear errors, the effects of random cumulative pitch deviations on mesh excitations and vibration responses of a helical geared rotor system (HGRS) are investigated. The long-period mesh stiffness (LPMS), static transmission error (STE), as well as composite mesh error (CMS), and load distributions of helical gears are calculated using an enhanced loaded tooth contact analysis (LTCA) model. A dynamic model with multi degrees of freedom (DOF) is employed to predict the vibration responses of HGRS. Mesh excitations and vibration responses analysis of unmodified HGRS are conducted in consideration of random cumulative pitch deviations. The results indicate that random cumulative pitch deviations have significant effects on mesh excitations and vibration responses of HGRS. The curve shapes of STE and CMS become irregular when the random characteristic of cumulative pitch deviations is considered, and the appearance of partial contact loss in some mesh cycles leads to decreased LPMS when load torque is relatively low. Vibration modulation phenomenon can be observed in dynamic responses of HGRS. In relatively light load conditions, the amplitudes of sideband frequencies become larger than that of mesh frequency and its harmonics (MFIHs) because of relatively high contact ratio. The influences of random cumulative pitch deviations on the vibration responses of modified HGRS are also discussed.

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“…The analysis considers the modifications of both linear and parabolic profiles. Bruyere et al [13] presented a closed-form analytical formula of TE for helical and solid spur gears for minimizing time varying amplitudes of TE amalgamation of lead crouch and profile relief. They showed that the optimum tooth modifications depend on ratio of profile Vs face contact, the normalized depth and number of modifications in profile in continuation with the normalized lead crown amplitude.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Effects of Change of Gear Parameter Module on Transmission Error in Spur Gear using Interference Volume Method

Karma

Maheshwari

Somani³

2022

IOP Conf. Ser.: Mater. Sci. Eng.

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Gear drives are the most used elements in power transmission systems. Any defect in the gear of these drives leads to noise and vibrations, which affect power/torque transmission. Transmission Error (TE) is one of the critical causes that arises due to the tooth geometry error, cracks in gear, profile error etc. Our work demonstrates, the consequences occurring due to the changes in gear parameter module on TE for spur gear pair of 1:1 gear ratio with pitch error, using the interference volume method. The spur gear without pitch error and with pitch error having the involute profile of standard tooth dimension system and stub tooth dimension system are modelled and assembled in CAD software SOLIDWORKS. The interference volume values obtained from the gear pairs are recorded for one mesh cycle. Various graphs plotted between the angle of rotation and interference volume values for one mesh cycle. It is found from the analysis that as the module and pitch error increase TE also increases. The effect of variation of module and pitch error is more in the standard tooth dimension system than the stub tooth dimension system.

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An analytical study on the combination of profile relief and lead crown minimizing transmission error in narrow-faced helical gears

Cited by 23 publications

References 30 publications

Sources of Excitation and Models for Cylindrical Gear Dynamics: A Review

Sources of Excitation and Models for Cylindrical Gear Dynamics: A Review

Quasi-Static Characteristics and Vibration Responses Analysis of Helical Geared Rotor System with Random Cumulative Pitch Deviations

Analysis of Effects of Change of Gear Parameter Module on Transmission Error in Spur Gear using Interference Volume Method

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