RETRACTED: Reliability analysis of mechanical components based on a nonlinear fatigue damage accumulation model

Abstract

The dynamic reliability models of mechanical components with the failure mode of fatigue are mainly based on the linear damage accumulation theory, which is also called the Miner’s rule. But the Miner’s rule has some drawbacks and results in the disagreement between the predicted and experimental value. In this paper, a dynamic reliability model is presented based on a nonlinear fatigue damage accumulation model. First, a modified nonlinear fatigue damage accumulation model based on the Manson–Halford theory is proposed, which considers not only the effect of load sequence but also the influence of load interaction. Some sets of experimental data are used to verify the proposed nonlinear fatigue damage accumulation model under two-stress level loading and multilevel staged loading. The results show that the proposed method has a better agreement between the experimental data and predicted values than the Miner’s rule. Then, based on the modified nonlinear fatigue damage accumulation model, the dynamic reliability model is presented. The data obtained by this dynamic reliability model are compared with Monte Carlo results, and it shows good agreement with Monte Carlo results.

Dynamic fatigue reliability analysis of turbine blades under combined high and low cycle loadings

“…Based on this, the remaining strength, accounting for two types of damage together under CCF loadings, can be derived (Gu et al, 2007;Yu et al, 2018), as…”

Improved numerical model for fatigue cumulative damage of mechanical structure considering load sequence and interaction

“…Assuming that the damage caused by cycling n 12 times under the action of S 2 is the same as the damage caused by cycling n 1 times under the action of stress level S 1 , that is, D 1 = D 2 0 . The relationship between the cycle ratio n 1 =N f 1 and the equivalent cycle ratio n 12 =N f 2 can be expressed by formula (18).…”

“…With the development of fatigue cumulative damage theory, nonlinear fatigue cumulative damage theory is also widely used in fatigue life estimation. [17][18][19] According to the existing research, non-linear damage theory can be divided into three categories: non-linear cumulative damage theory considering the interaction between loads; 20,21 Nonlinear cumulative damage model based on damage curve method (Marco-Starkey model, 22 etc. ); Non-linear cumulative damage based on energy.…”

A modified nonlinear fatigue damage accumulation model for life prediction of rolling bearing under variable loading conditions

“…In order to make up for the deficiencies of Miner's rule, much effort has been made to simulate the nonlinear fatigue damage process, including energy‐based methods, 13,14 damage curve approaches, 15–17 continuum damage mechanics–based approaches, 18–23 fatigue driving stress approach, 24 static toughness exhaustion models, 25–27 and S‐N curve‐based models 28,29 . Especially, Rege and Pavlou 30 proposed a cumulative fatigue damage model based on the concept of isodamage curves, which is described using one parameter and S‐N curve of the material.…”