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

Yan, Hai; Wen, Longyin; Yin, Shen; Cao, Hao; Chang, Lehao

doi:10.1177/09544062221092580

Cited by 6 publications

(7 citation statements)

References 26 publications

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“…The core idea of the traditional slice method is to convert helical gear into spur gear, and then calculate its mesh stiffness. As shown in Figure 1 [7] , in this method, helical gear is sliced into many thin gear slices of equal width along the width direction of the tooth surface. When these thin gear slices are thin enough, they can be equivalent to spur gears.…”

Section: Slice Methodsmentioning

confidence: 99%

“…where ξ is the dimensionless distance normalized by the transverse base pitch p bt , which is from the intersection point of the front end face and the tooth contact line to the meshing entry end on base circle, η is the dimensionless contact line length, which is also normalized by p bt , and as shown in Figure 2 [7] .…”

Section: Slice Methodsmentioning

confidence: 99%

“…The dimensionless contact line length is related to two parameters, one is the transverse contact ratio ε α and the other is the overlap ratio ε β . According to the relationship between these two parameters, the helical gear pairs can be divided into two types [7] : Type α, where ε α ≥ε β , and Type β, where ε α ≤ε β , as described in Figure 3 [7] .…”

Section: Contact Linementioning

confidence: 99%

“…By substituting Equation (5), Equation (7), and Equation (8) into normalized Equation (2), the dimensionless single tooth mesh stiffness can be obtained:…”

Section: Single Mesh Stiffnessmentioning

confidence: 99%

“…Gu et al proposed that mesh stiffness is equal to the normal stiffness integral along contact line, and the integral is calculated by Fourier series expansion, which also ignores the slice coupling effect [6] . Yan et al proposed a new mesh stiffness calculation method by combining slice principle and contact line analysis [7] .…”

Section: Introductionmentioning

confidence: 99%

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A new method for the single mesh stiffness calculation of helical gear considering slice coupling effect

Yan,

Wen,

Yin

et al. 2023

J. Phys.: Conf. Ser.

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In this paper, a new method is proposed, calculating the single mesh stiffness by cobining the silce principle and contact line analysis. Firstly, this method obtains the length of the contact line of the helical gear through contact line analysis. Secondly, along the tooth face width, the teeth of helical gear is separated into a series of equivalent thin teeth of spur gear. Thirdly, in order to consider the slice coupling effect, a weighting factor is introduced to modify the stiffness of the thin tooth itself according to the contribution of the thin tooth to the overall stiffness, which is distributed in parabola. Finally, by integrating the equivalent thin teeth of the spur gear along the contact line, the single mesh stiffness is calculated. The investigation shows that the influence of the slice coupling effect on single meshing stiffness related to the relationship between the value of transverse contact ratio and overlap ratio. When transverse contact ratio is greater, the influence of the slice coupling effect on the single mesh stiffness is very small an can be ignored, and when the overlap ratio is larger, which is significant.

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Section: Slice Methodsmentioning

confidence: 99%

Section: Slice Methodsmentioning

confidence: 99%

Section: Contact Linementioning

confidence: 99%

“…By substituting Equation (5), Equation (7), and Equation (8) into normalized Equation (2), the dimensionless single tooth mesh stiffness can be obtained:…”

Section: Single Mesh Stiffnessmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A new method for the single mesh stiffness calculation of helical gear considering slice coupling effect

Yan,

Wen,

Yin

et al. 2023

J. Phys.: Conf. Ser.

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Nonlinear excitation and mesh characteristics model for spiral bevel gears

Chen

Zhang

Wei

et al. 2023

International Journal of Mechanical Sciences

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Tooth profile design and meshing characteristics analysis of internal meshing gears based on variable center meshing line

Chu,

Shang,

Dong

2024

Proceedings of the Institution of Mechanical Engineers, Part C:

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A design method of internal meshing gear based on variable center meshing line (VCML) is presented in this paper. The meshing line is an arc line connecting the intersection of the indexing circle connecting the inner and outer gears and the intersection of the tooth top circle, and the center of the line of engagement freely slides on the vertical bisection line of the line connecting the two intersection points. The top tooth profile equation of internal and external gears is derived by rack equation. According to the normal method of gear profile, the equation of gear root meshing line is derived by using the tooth top profile equation of the gear. According to the principle of plane meshing, the root profile equation of gear is derived by using the root meshing line equation of gear. The tooth profile of VCML gear can be deduced quickly by adjusting the center position of the meshing line. The stress, meshing stiffness, transmission error, contact ratio and sliding ratio of the VCML gears are analyzed by finite element method, and the area of significant performance improvement of the meshing line center of the VCML gears is found. The research results show that compared with involute gears, the maximum average stress of VCML gears is reduced by 64.99%, the meshing stiffness is increased by 193.67%, and the transmission error is reduced by 65.95%. This method improves the efficiency of new tooth profile design and transmission performance. By changing the center coordinates of the meshing line, the tooth profile of the VCML gear can be quickly redesigned, which greatly improves the efficiency of the new tooth profile design and transmission performance. This design method provides a new idea for the tooth profile design of internal meshing gear.

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

Cited by 6 publications

References 26 publications

A new method for the single mesh stiffness calculation of helical gear considering slice coupling effect

A new method for the single mesh stiffness calculation of helical gear considering slice coupling effect

Nonlinear excitation and mesh characteristics model for spiral bevel gears

Tooth profile design and meshing characteristics analysis of internal meshing gears based on variable center meshing line

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