Gear root bending strength: statistical treatment of Single Tooth Bending Fatigue tests results

Bonaiti, Luca; Rosa, Francesco; Rao, Prasad M.; Concli, Franco; Gorla, Carlo

doi:10.1007/s10010-021-00567-7

Cited by 6 publications

(7 citation statements)

References 18 publications

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“…Exploiting the Wildhaber property [1], these forces are applied perpendicularly to two tooth flanks, resulting in tangent to the base circle [23]. STBF tests are interrupted if a tooth fails or if it withstands the run-out condition (10 6 -10 8 ) cycles [24][25][26][27][28]. The statistical elaboration of failures and run-outs (the load levels are defined with the staircase approach [29,30]) leads to the determination of the load-carrying capacity [20].…”

Section: Introductionmentioning

confidence: 99%

Early Crack Propagation in Single Tooth Bending Fatigue: Combination of Finite Element Analysis and Critical-Planes Fatigue Criteria

Concli

Maccioni

Fraccaroli

et al. 2021

Metals

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Mechanical components, such as gears, are usually subjected to variable loads that induce multiaxial non-proportional stress states, which in turn can lead to failure due to fatigue. However, the material properties are usually available in the forms of bending or shear fatigue limits. Multiaxial fatigue criteria can be used to bridge the gap between the available data and the actual loading conditions. However, different criteria could lead to different results. The main goal of this paper is to evaluate the accuracy of different criteria applied to real mechanical components. With respect to this, five different criteria based on the critical plane concept (i.e., Findley, Matake, McDiarmid, Papadopoulos, and Susmel) have been investigated. These criteria were selected because they not only assess the level of damage, but also predict the direction of crack propagation just after nucleation. Therefore, measurements (crack position and direction) on different fractured gear samples tested via Single Tooth Bending Fatigue (STBF) tests on two gear geometries were used as reference. The STBF configuration was numerically simulated via Finite Elements (FE) analyses. The results of FE were elaborated based on the above-mentioned criteria. The numerical results were compared with the experimental ones. The result of the comparison showed that all the fatigue criteria agree in identifying the most critical point. The Findley and Papadopulus criteria proved to be the most accurate in estimating the level of damage. The Susmel criterion turns out to be the most conservative one. With respect to the identification of the direction of early propagation of the crack, the Findley criterion revealed the most appropriate.

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Section: Introductionmentioning

confidence: 99%

Early Crack Propagation in Single Tooth Bending Fatigue: Combination of Finite Element Analysis and Critical-Planes Fatigue Criteria

Concli

Maccioni

Fraccaroli

et al. 2021

Metals

Self Cite

View full text Add to dashboard Cite

show abstract

“…On the one hand, the lack of the rolling/sliding condition implies that the loading condition occurring within the toot root is different [11,54,55]. On the other hand, the fact that the tests are performed on the teeth rather that gear implies a statistical difference [17,18]. Therefore, the results of STBF test have to be corrected in order to be used for the assessment of a gear pair under the real case loading scenario.…”

Section: Gear Testing For Tooth Root Bending Fatiguementioning

confidence: 99%

“…The authors [17,18] adopt statistic of extreme in order to address the statistical difference while high-cycle multiaxial fatigue criteria (coupled with numerical simulations) are adopted to address the problem of the different loading conditions by defining a coefficient f korr,FEM [11]. The same is applied here.…”

Section: Gear Testing For Tooth Root Bending Fatiguementioning

confidence: 99%

“…For additional details regarding the adopted testing procedure, the interested reader can refer to the aforementioned references. Result data discussed in [11,17,18,61] are adopted here as reference case.…”

Section: Gear Testing For Tooth Root Bending Fatiguementioning

confidence: 99%

“…This article is aimed at continuing some previous works of the authors [17,18]. There, the statistical framework is based on [19,20], where a curve without fatigue limit is proposed.…”

Section: Introductionmentioning

confidence: 96%

See 2 more Smart Citations

Gear Tooth Root Bending Strength Estimation under the Assumption of Fatigue Limit Existence

Bonaiti

Gorla

2022

Material Design & Processing Communications

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Being able to properly predict gear failure is a key aspect to achieve a reliable light-weight gearbox. Among the several gear failures, tooth root bending fatigue is considered as the most dangerous one because it implies the stoppage of the whole gearbox. In order to characterize a gear for this phenomena, Single Tooth Bending Fatigue (STBF) tests are the most performed ones. However, as in STBF test THERE IS no sliding/rolling contact and as the specimens are teeth rather than gears, some differences occur between the test conditions and those of the real case. This paper deals with the statistical ones that is the estimation of the gear SN curve starting from the teeth one. The teeth SN curve has been estimated by means of a statistical model developed considering Murakami’s idea of nonpropagating crack. Then, a methodology based on statistic of extreme is adopted for the purpose of estimating the gear SN curve.

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Experimental investigation of the relation between the surface integrity and bending fatigue strength of carburized gears

Chen

Zhu²,

Liu

et al. 2022

Sci. China Technol. Sci.

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Gear root bending strength: statistical treatment of Single Tooth Bending Fatigue tests results

Cited by 6 publications

References 18 publications

Early Crack Propagation in Single Tooth Bending Fatigue: Combination of Finite Element Analysis and Critical-Planes Fatigue Criteria

Early Crack Propagation in Single Tooth Bending Fatigue: Combination of Finite Element Analysis and Critical-Planes Fatigue Criteria

Gear Tooth Root Bending Strength Estimation under the Assumption of Fatigue Limit Existence

Experimental investigation of the relation between the surface integrity and bending fatigue strength of carburized gears

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