Load-related dynamic behaviors of a helical gear pair with tooth flank errors

Chang, Lehao; Cao, X. P.; He, Zhili; Li, Geng

doi:10.1007/s12206-018-0301-y

Cited by 27 publications

(11 citation statements)

References 27 publications

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“…Its modeling and solution efficiency are higher than the dynamic three-dimensional contact finite element method. The literature 11,37 has verified its validity and accuracy by comparing with experiments and centralized mass method. For multi-gearbox system, it is necessary to ensure the accuracy of the dynamic model and to consider the convenience of modeling.…”

Section: Multi-gearbox System Structure and Model Discretizationmentioning

confidence: 91%

Coupled dynamics characteristics analysis of the marine multi-gearbox system under multi-source excitation

Gong

Yuan

et al. 2022

Advances in Mechanical Engineering

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The marine multi-gearbox system has the characteristics of multi-source excitation and multi-gearbox coupled. The interaction among gearboxes is inevitable. To reveal the coupled mechanism, a coupled dynamic model of multi-gearbox system is proposed in this paper by the generalized finite element method and the substructure method. The dynamic model of each gearbox in the multi-gearbox system is also established. Under the same working conditions, the dynamic response of single gearbox and multi-gearbox system are obtained. The results show that the adjacent gear pairs of adjacent gearboxes are more affected by the coupled effect at low rotational speed. Compared with single gearbox, the RMS curve of multi-gearbox system of meshing forces generates some new resonance peaks, which are caused by the new modes excited by the mesh frequencies of adjacent gearboxes. The dynamic response of gear pairs which are greatly affected by coupled effect are more sensitive to the change of stiffness of couplings. Reducing the stiffness of the couplings can weaken the coupled effect of the system, and vice versa. The change of housing stiffness does not influence the coupled effect of the multi-gearbox system, and the new modes and resonance peaks generated by the coupled effect have not changed significantly.

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Section: Multi-gearbox System Structure and Model Discretizationmentioning

confidence: 91%

Coupled dynamics characteristics analysis of the marine multi-gearbox system under multi-source excitation

Gong

Yuan

et al. 2022

Advances in Mechanical Engineering

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“…Assume that the load distribution at a certain contact pattern ε τ on the gear meshing tooth pair τ satisfies the equation [17][18][19][20]:…”

Section: Calculation Methods Of Contact Patternmentioning

confidence: 99%

Research on the Method of Prediction for Fuzzy Tooth Surface of Involute Gear

Liu

2022

Mathematical Problems in Engineering

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Surface appearance of involute gear is the basis to research the dynamic performance of gear transmission system. The Delaunay triangulation method of layered local dynamic is proposed to construct the precise tooth surface of the known tooth surface appearances. The concave and convex region of the real tooth surface was extracted by isosurface subdivision. In order to smooth the surface, the energy method and the improved fractal method with minimum included angle are used to smooth the curve. On the basis of the loaded tooth contact analysis of involute gears, the loaded tooth contact analysis model of digital error tooth surface is constructed. The tooth surface appearances of fuzzy tooth surface were predicted by extracting contact patterns under various working parameters on the experimental platform. Through the analysis on actual examples, it is concluded that the method proposed in this manuscript can accurately predict the tooth surface morphology of fuzzy tooth surface and lay the foundation for the dynamic performance optimization of gear system with fuzzy tooth surface.

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“…The finite element substructure method can be employed to determine the global deflection flexibility of contact points [26]. The contact deformation of each contact point changes nonlinearly with the load, which can be calculated using analytical formula of contact deformation [15]. Introducing cumulative pitch deviations and tooth surface modifications into the initial clearances between contact point pairs, the contact condition of mating gear teeth in each engagement position can be expressed as [15]…”

Section: Determination Of Lpms Ste and Cmsmentioning

confidence: 99%

“…The LPMS of helical gear pairs with cumulative pitch deviations can be determined using [15] N N F In the LTCA model, the contact problem of gear tooth flanks in each engagement position is regarded as a line contact problem of two elastic bodies. Each contact line is evenly discretized into several contact points so that the line contact problem will be transformed into point contact problem.…”

Section: Determination Of Lpms Ste and Cmsmentioning

confidence: 99%

“…Mesh misalignment [10], which is caused by mounting errors and system deflection, is also regarded as a special short period gear error. Some scholars established the calculation models of load distribution [11][12][13][14], mesh stiffness, and transmission error [15][16][17][18] in consideration of short period gear errors, and further numerically and experimentally investigated the dynamic behaviors of gear system [19][20][21].…”

Section: Introductionmentioning

confidence: 99%

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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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Load-related dynamic behaviors of a helical gear pair with tooth flank errors

Cited by 27 publications

References 27 publications

Coupled dynamics characteristics analysis of the marine multi-gearbox system under multi-source excitation

Coupled dynamics characteristics analysis of the marine multi-gearbox system under multi-source excitation

Research on the Method of Prediction for Fuzzy Tooth Surface of Involute Gear

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

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