Ideal tooth profile modifications for improving nonlinear dynamic response of planetary gear trains

Ozturk, V.Y.; Ciğeroğlu, Ender

doi:10.1016/j.jsv.2021.116007

Cited by 24 publications

(7 citation statements)

References 33 publications

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“…Finally, although the method is illustrated on a SDOF gear model, the proposed methodology can be employed on MDOF systems including the shafts, bearings and housing flexibility and even large scale gear transmissions (with appropriate model order reduction) to optimize the tooth profile modifications of systems potentially operating in a nonlinear regime associated to contact loss and vibro-impact responses. This is a particularly important result, as profile modifications are usually designed using static computations [23] or empirical modifications [71].…”

Section: Bifurcation Tracking With Respect To a Tooth Profile Modificationmentioning

confidence: 99%

Bifurcation tracking of geared systems with parameter-dependent internal excitation

2021

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Section: Bifurcation Tracking With Respect To a Tooth Profile Modificationmentioning

confidence: 99%

Bifurcation tracking of geared systems with parameter-dependent internal excitation

2021

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“…Lee et al 9 used Kisssoft to compared transmission errors and tooth surface load distribution before and after gear modification for planetary gear models. Ozturk et al 10 investigated the effect of tooth PM on the dynamic characteristics of planetary gear train by established a time-varying stiffness nonlinear planetary gear dynamics model. Sun et al 11 established a time-varying meshing stiffness correction model for modified spur gear pairs.…”

Section: Introductionmentioning

confidence: 99%

Transform of parameter and teeth surface modification for non-standard planetary spur gear train with X-gears

Zhang

Fang

Yin

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part K:

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In view of the lack of ready formulae for modification calculation of non-standard planetary spur gear trains, the paper is focused on new modification methods of non-standard planetary spur gear trains with X-gears. Firstly, a novelty transform method from the parameters on the pitch circle to the parameters on the reference circle for a non-standard planetary spur gear train with X-gears is proposed in order to study the modification method. Secondly, a scheme of teeth surface modification for non-standard planetary spur gear train with X-gears is put forward. Thirdly, the calculation method of loaded transmission error and flash temperature on the tooth surface under mixed elastohydrodynamic lubrication for external meshing spur gear pairs is proposed using tooth contact analysis as well as loaded tooth contact analysis. Then, a new modification optimization method for non-standard planetary spur gear train with X-gears is proposed, and formulae of the maximal modification length along the tooth height are derived. Finally, the effectiveness of the modification optimization method is confirmed by an example, and the transform formulae of the optimized modification parameters for sun gear are derived.

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“…These models are widely used in the modeling and analysis of nonlinear dynamics of geared systems, and provide theoretical guidance for dynamics prediction and evaluation. Afterward, many modified TVMS models have been proposed including diversity impact conditions, such as wear evolution process [39,40], addendum modification [41], tooth profile modification [42,43], profile-shifted spur gears [44], viscoelastic behavior [45], and different crack lengths [46][47][48]. Marafona et al [49] reviewed in detail the different types of models to calculated the TVMS of parallel axis cylindrical gears including analytical, finite element, hybrid and approximated analytical models.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic modeling and global instability analyses of planetary gear trains considering multi-state engagement and tooth-contact temperature effects

Bai,

Qiu,

Shi

et al. 2023

Nonlinear Dyn

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Gear disengaging, back-side tooth contact or poor dynamic behavior during operating leads to dynamic instability in planetary gear trains (PGTs). A novel nonlinear dynamic model of PGTs with internal and external gear pairs considering multi-state engagement induced by backlash and contact ratio is established. An improved time-varying meshing stiffness model including temperature stiffness is analytically derived. The time-varying meshing stiffness with temperature effect, friction, backlash, time-varying pressure angle, and time-varying friction arm are integrated into the dynamic model of PGTs. Multi-state engaging behavior is efficiently identified by constructing different Poincaré mappings. A method to calculate dynamic instability is proposed in the time-domain trace. The intrinsic relationship between multi-state engaging and dynamic instability is investigated via multi-section bifurcation plots and phase trajectory topology. The global dynamic instability is revealed based on the bifurcation and evolution of coexistence behavior under the parameter-state synergy. The results show that the multistate engagement is heavily depending on bifurcation and phase trajectory topology, which whereby affects the dynamic instability. Two special phenomena, complete and incomplete bifurcations, are discovered under parameter-state synergy. Complete bifurcation causes global instability and incomplete bifurcation results in local instability and yields coexistence responses. Incomplete bifurcation brings about new bifurcation branches.

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Ideal tooth profile modifications for improving nonlinear dynamic response of planetary gear trains

Cited by 24 publications

References 33 publications

Bifurcation tracking of geared systems with parameter-dependent internal excitation

Bifurcation tracking of geared systems with parameter-dependent internal excitation

Transform of parameter and teeth surface modification for non-standard planetary spur gear train with X-gears

Nonlinear dynamic modeling and global instability analyses of planetary gear trains considering multi-state engagement and tooth-contact temperature effects

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