A critical review on FE-based methods for mesh stiffness estimation in spur gears

Natali, Caterina; Battarra, Mattia; Dalpiaz, Giorgio

doi:10.1016/j.mechmachtheory.2021.104319

Cited by 47 publications

(8 citation statements)

References 27 publications

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“…The finite element method is generally considered to be the most accurate method because it allows the consideration of many different effects that are sometimes ignored in analytical methods. [10][11][12][13][14][15][16][17][18][19] Cooley et al 10 determined gear mesh stiffness through the force-deflection curve obtained by the finite element method. Based on nonlinear finite element analysis, this method proposed two variants, namely, the average slope method (secant stiffness) and the local slope method (tangent stiffness).…”

Section: Introductionmentioning

confidence: 99%

Research on gear mesh stiffness of helical gear based on combining contact line analysis method

Yan

Wen

Yin³

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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A new analytical model of mesh stiffness of helical gears is proposed using a combination of contact line analysis with slice method, which can well predict the dimensionless time-varying mesh stiffness. Based on the derived formula, the influence of gear basic parameters on mesh stiffness fluctuation coefficient is studied. The simulation shows that the influence of the overlap ratio on the mesh stiffness fluctuation coefficient is greater than that of the transverse contact ratio. By designing reasonable helix angle and tooth width, the overlap ratio is close to an integer, and then the mesh stiffness fluctuation coefficient can obtain a local minimum value, which is an effective way to reduce the vibration and noise of gear system.

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Section: Introductionmentioning

confidence: 99%

Research on gear mesh stiffness of helical gear based on combining contact line analysis method

Yan

Wen

Yin³

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…The calculation approaches of mesh stiffness can be mainly divided into four types: experimental method [8][9][10][11][12], analytical method [13][14][15][16][17][18][19], pure finite element method [20][21][22], and analytical-finite element method [23][24]. The experimental method is mainly based on the linear elastic theory to calculate the mesh stiffness from the pressure and the deformation of the teeth, which requires a specific measuring device and has high requirements for measurement accuracy.…”

Section: Introductionmentioning

confidence: 99%

Mesh stiffness model for spur gear with opening crack considering deflection

Liu

Shi

Liu

et al. 2022

Engineering Failure Analysis

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“…Hybrid methods combine analytical and numerical approaches to calculate the tooth deflection efficiently. In these models usually the total macroscopic tooth deformation is calculated using a numerical method, while the microscopic (contact-) deformation is treated analytically [18,19]. Most of the numerical approaches presented can be used in a hybrid model.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, a comprehensive review on analytical, hybrid and numerical methods is given by Marafona et al in [19]. Natali et al give a review specially on FE methods for the tooth deflection calculation in [18].…”

Section: Introductionmentioning

confidence: 99%

Fast tooth deflection calculation method and its validation

Hochrein

Otto

Stahl

2022

Forsch Ingenieurwes

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For the development of high power density gearboxes the knowledge of the gear mesh behavior is important. Especially, the tooth deflection influences flank load distribution and is the basis for the design of flank modifications. Analytical and numerical approaches are suitable to evaluate the behavior. Since numerical methods are complex, elaborate and time-consuming, fast and accurate analytical methods are still important and are worth to be further developed and assessed.An analytical method for calculating tooth deformation for gears goes back to Weber and Banaschek from 1953. In the initial work the final equations are given without many intermediate steps in the plane strain assumption for materials with Poisson’s ratio ν = 0.3. This paper derives the tooth deflection equations in a more detailed and general manner for any linear material. The final equations are valid for the plane stress and plane strain state in one new closed representation and are therefore suitable for an efficient implementation. While the plane strain state is typical for gears, the plane stress state is significant for a thin slice model or special gearings. The presented method captures the shear influence with a more detailed calculation of the shear correction factor.A calculation study validates the results from the derived analytical tooth deflection calculation method with a plane Finite Element Model. In the study the point of application of force and the gear body are varied to cover the influence of different variants (size and mesh position). Finally limits of the analytical modeling and the validation are discussed.

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A critical review on FE-based methods for mesh stiffness estimation in spur gears

Cited by 47 publications

References 27 publications

Research on gear mesh stiffness of helical gear based on combining contact line analysis method

Research on gear mesh stiffness of helical gear based on combining contact line analysis method

Mesh stiffness model for spur gear with opening crack considering deflection

Fast tooth deflection calculation method and its validation

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