Estimation of gear SN curve for tooth root bending fatigue by means of maximum likelihood method and statistic of extremes

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

“…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.…”

“…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.…”

Design against fatigue failures: Lower bound P-S-N curves estimation and influence of runout data

“…Moreover, depending on the failure origin, the models for the fatigue life should also consider the mechanisms of crack nucleation [7][8][9][10][11]. However, due to randomness associated with the fatigue phenomenon, the large experimental scatter should be properly modelled and taken into account when the S-N relationship is assessed [1,2,5,[12][13][14]. Otherwise, a safe design is not guaranteed.…”

Behavior of short-headed stud connectors in orthotropic steel-UHPC composite bridge deck under fatigue loading

“…However, studies recommend that the S-N curve should be shaped by considering run-outs because runouts simply indicate the absence of failure [20]. The maximum likelihood estimation (MLE) approach is considered to be effective to make a combined evaluation of the failed and the run-out specimens [23,24], and has been applied to shape the S-N curves of some fatigueprone details in literature [25][26][27].…”