Contact stress calculation of undercut spur and helical gear teeth

Pedrero, José I.; Pleguezuelos, Miguel; Muñoz, Marta

doi:10.1016/j.mechmachtheory.2011.06.015

Cited by 31 publications

(26 citation statements)

References 7 publications

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“…A numerical study found that the application of positive profile modification results in reduced tooth bending stress and increased safety factor for tooth bending stress [4].…”

Section: Literature Reviewmentioning

confidence: 99%

Optimisation of Effective Design Parameters for an Automotive Transmission Gearbox to Reduce Tooth Bending Stress

Bozca¹

2017

MME

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Optimisation of effective design parameters to reduce tooth bending stress for an automotive transmission gearbox is presented. A systematic investigation of effective design parameters for optimum design of a five-speed gearbox is studied. For this aim contact ratio effect on tooth bending stress by the changing of contact ratio with respect to pressure angle is analysed. Additionally, profile modification effects on tooth bending stress are presented. During the optimisation, the tooth bending stress is considered as the objective function, and all the geometric design parameters such as module, teeth number etc. are optimised under two different constraints, including tooth contact stress and constant gear centre distance. It can be concluded that higher the contact ratio results in a reduced tooth bending stress, while higher the pressure angle caused an increase in tooth bending stress and contact stress, since decreases in the contact ratio. In addition, application of positive profile modification on tooth reduces tooth bending stress. All of the obtained optimum solutions satisfy all constraints.

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“…A numerical study found that the application of positive profile modification results in reduced tooth bending stress and increased safety factor for tooth bending stress [4].…”

Section: Literature Reviewmentioning

confidence: 99%

Optimisation of Effective Design Parameters for an Automotive Transmission Gearbox to Reduce Tooth Bending Stress

Bozca¹

2017

MME

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“…The second factor is to take into account the non-linear changes of the meshing condition and stress during the meshing process. In the traditional gear design method, the bending strength of the tooth is calculated based on the model of Lewis cantilever beam [1], and the contact strength of the tooth surface is calculated according to Hertz contact theory [2]. In the process of calculation, tooth and fillet surfaces are respectively simplified as uniform beam and cylindrical surface, with many empirical parameters also being used, which leads to a large deviation between the calculated results and the actual values.…”

Section: Introductionmentioning

confidence: 99%

“…1, during the cutting process, according to principle of vector decomposition [14], the gear tooth surface  (2) rotates around the axis I with clockwise angular velocity  (2) while the cutting surface  (1) translates along axis II with velocity V 02 and translates along the direction that is perpendicular to the plane formed by the axes I and II with velocity V 01 at the same time. The axes I and II are parallel to each other and the distance is equal to the pitch circle radius r 2 of the spur gear.…”

mentioning

confidence: 99%

“…After the time t, the cutter moved the distances L 1 and -L 2 respectively along the axes i and k. The gear has rotated the angle φ 2 clockwise respective to the initial position at this moment. Meanwhile, the cutting surface  (1) and the gear tooth surface  (2) conjugate meshing at point M. As shown in Fig. 1, r (1) is the vector of point M in σ (1) and r (2) is the vector of point M in σ (2) .…”

mentioning

confidence: 99%

“…Meanwhile, the cutting surface  (1) and the gear tooth surface  (2) conjugate meshing at point M. As shown in Fig. 1, r (1) is the vector of point M in σ (1) and r (2) is the vector of point M in σ (2) . According to the correlation between the relevant variables, it is easy to determine that…”

mentioning

confidence: 99%

See 2 more Smart Citations

Accurate Modelling and Transient Meshing Analysis of Involute Spur Gear Based on the Principle of Gear Shaping

Zeng¹,

Wang²,

Wan³

et al. 2017

Int. j. simul. model.

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The gear is one of the most widely used and vital parts having freeform surfaces. Accurate modelling and strength calculation are the basis of gear design and optimization. The traditional gear design and the existing finite element analysis methods cannot effectively solve these problems. Only a simple model can be established and the static strength analysis can be carried out at a certain meshing position. In this study, accurate equations of the tooth surfaces of a spur gear were derived based on the principle of gear shaping. Then, the parametric finite element modelling and simulation of the transient meshing of the spur gear have been realized using ANSYS software, and the stress distribution and variation trends of the gear during the meshing process have been analysed. Finally, the method is verified by simulation and comparison. The analysis results show that the effect of the tooth fillet surface on the strength of the gear is very large, and the bending stress and contact stress of the gear are nonlinear in the meshing process. The proposed method can accurately establish the model including the tooth fillet surface of the spur gear, and accurately analyse the strength of the spur gear pair. This makes up for the shortcomings of the existing method, and can be applied to other gear forms after appropriate modification.

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Load Sharing and Contact Stress Calculation of High Contact Ratio Internal Spur Gears

Pleguezuelos

Pedrero

Sánchez

2014

Mechanisms and Machine Science

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Contact stress calculation of undercut spur and helical gear teeth

Cited by 31 publications

References 7 publications

Optimisation of Effective Design Parameters for an Automotive Transmission Gearbox to Reduce Tooth Bending Stress

Optimisation of Effective Design Parameters for an Automotive Transmission Gearbox to Reduce Tooth Bending Stress

Accurate Modelling and Transient Meshing Analysis of Involute Spur Gear Based on the Principle of Gear Shaping

Load Sharing and Contact Stress Calculation of High Contact Ratio Internal Spur Gears

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