Influence of the Eccentric Error of Star Gear on the Bifurcation Properties of Herringbone Star Gear Transmission with Floating Sun Gear

The load sharing characteristics of the herringbone planetary transmission system are a key indicator for evaluating the bearing stability and reliability of each planet gear in the transmission system. The value of the load sharing coefficient is closely related to the manufacturing error and the assembly error in gear processing and assembly process. Therefore, it is indispensable to study the influence mechanism of these errors on the load sharing characteristics of the transmission system. Nevertheless, researches on the multi-coupling transmission error to the load sharing characteristics of herringbone planetary transmission system did not receive enough attention, but much of the single errors. Based on the centralized parameters theory and the Lagrange method, this research establishes a dynamic model for herringbone planetary transmission system and creatively proposes a study of multi-coupling error which consists of eccentric error, tooth profile error, stagger angle and assembly error. This work shows that the changing regulation of the load sharing characteristics with any one of the above errors is different. However, the load sharing characteristics become worse with the increase of multi-coupling error, in which the eccentric error plays a main role. Therefore, the error control should focus on eccentric error.

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“…Guo et al. 22 studied the impact of eccentric error of star gears on bifurcation characteristics of floating herringbone sun gear.…”

Section: Introductionmentioning

confidence: 99%

“…Lin and He 21 proposed a method to evaluate the dynamic response with the influence of error coupled by manufacturing error, assembly error and tooth profile error. Guo et al 22 studied the impact of eccentric error of star gears on bifurcation characteristics of floating herringbone sun gear.…”

Section: Introductionmentioning

confidence: 99%

Influence mechanism of multi-coupling error on the load sharing characteristics of herringbone gear planetary transmission system

Zhang

Jin

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part K:

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“…According to the geometrical position relationship among the main components of the system as shown in Figure 15, 5 the relative displacement δ s p i between the centre of the star gear and the one of the intermediate gear along the meshing line on the end plane can be expressed as …”

Section: Lumped Mass Model Of the Systemmentioning

confidence: 99%

“…Mo et al 3,4 proposed a dynamic model for double-helical star gearing system for the GTF aeroengine and made a study of multi-coupling error. Guo et al 5 analysed the system bifurcation characteristics with the changing of the eccentric error of star gear and the working frequencies. Mo et al 6 developed a robust design process by approaching the performance boundaries and evaluating the operability of the GTF engine.…”

Section: Introductionmentioning

confidence: 99%

An effective modelling approach for multi-body dynamic analysis of epicyclic gear train of GTF considering both structural flexibility and mechanical interactions

Liu,

Du,

Fang

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part K:

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In this paper, a new modelling approach is proposed for the dynamic investigation of epicyclic gear train, and the novelty of this work lies in consideration of both structural flexibility and mechanical interactions during the analysis procedure. The method is of capacity to directly present the dynamic results of the supporting structure for convenient practical engineering evaluation and reduce the dimension of the system reasonably with appropriate assumptions for better computational efficiency. Firstly, the mechanical interactions among components are discussed in detail, and the principle that the structural flexibility works is also explained at length. Secondly, taking the epicyclic gear train of the geared turbofan (GTF) engine; for example, the dynamic model of the system is then established based on the developed hybrid user-defined elements. For model validation, the governing equations of the system are also derived by the lumped mass method. Thirdly, with the same values of the parameters, the results of normal dynamic meshing force obtained by the proposed model are compared with the ones by the lumped mass model. It can be stated from the data that (1) the maximum relative error between the theoretical value and the average value calculated by the two models is 8.28%, (2) the gear mesh frequency obtained by the two models are sufficiently close to the theoretical value, and (3) the fluctuation trends of the dynamic force keep basically consistent with each other. In summary, the comparison presented clearly indicates that the proposed model is indeed reasonable, which provides a new way for dynamic investigation and structural redesign of a large epicyclic gear train. Finally, as a practical engineering application, the vibration result of the deformable supporting structure of the GTF gear train is also presented, which directly provides valuable reference for vibration monitoring, fault diagnosis and other engineering problems in practice.

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“…According to the presented HPGT dynamic model in Figure 2, the equivalent displacements of the ith planet-sun gear mesh, the ith planet-left (right) ring gear mesh, and the ith planet-carrier pair can be derived as [12,17,18]…”

Section: Dynamic Model Of the Hpgt Systemmentioning

confidence: 99%

Investigation of Dynamic Load Sharing Behavior for Herringbone Planetary Gears considering Multicoupling Manufacturing Errors

Ren

Luo

et al. 2021

Shock and Vibration

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In this study, based on the lumped-parameter theory and the Lagrange approach, a novel and generalized bending-torsional-axial coupled dynamic model for analyzing the load sharing behavior in the herringbone planetary gear train (HPGT) is presented by taking into account the actual structure of herringbone gears, manufacturing errors, time-dependent meshing stiffness, bearing deflections, and gyroscopic effects. The model can be applied to the analysis of the vibration of the HPGT with any number of planets and different types of manufacturing errors in different floating forms. The HPGT equivalent meshing error is analyzed and derived for the tooth profile errors and manufacturing eccentric errors of all components in the HPGT system. By employing the variable-step Runge–Kutta approach to calculate the system dynamic response, in conjunction with the presented calculation approach of the HPGT load sharing coefficient, the relationships among manufacturing errors, component floating, and load sharing are numerically obtained. The effects of the combined errors and single error on the load sharing are, respectively, discussed. Meanwhile, the effects of the support stiffness of the main components in the HPGT system on load sharing behavior are analyzed. The results indicate that manufacturing errors, floating components, and system support stiffness largely influence the load sharing behavior of the HPGT system. The research has a vital guiding significance for the design of the HPGT system.

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Influence of the Eccentric Error of Star Gear on the Bifurcation Properties of Herringbone Star Gear Transmission with Floating Sun Gear

Cited by 8 publications

References 24 publications

Influence mechanism of multi-coupling error on the load sharing characteristics of herringbone gear planetary transmission system

Influence mechanism of multi-coupling error on the load sharing characteristics of herringbone gear planetary transmission system

An effective modelling approach for multi-body dynamic analysis of epicyclic gear train of GTF considering both structural flexibility and mechanical interactions

Investigation of Dynamic Load Sharing Behavior for Herringbone Planetary Gears considering Multicoupling Manufacturing Errors

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