A Reinterpretation of the Palmgren-Miner Rule for Fatigue Life Prediction

1980 ◽  
Vol 47 (2) ◽  
pp. 324-328 ◽  
Author(s):  
Z. Hashin
Keyword(s):  
Fatigue Life ◽  
Cyclic Loading ◽  
Life Prediction ◽  
Cumulative Damage ◽  
Fatigue Life Prediction ◽  
Damage Theory ◽  
Special Case ◽  
Damage Rule

It is shown that the simple Palmgren-Miner linear cumulative damage rule is a special case of a general cumulative damage theory previously established. Predictions of lifetimes for families of multistage loadings according to the Palmgren-Miner rule and the general cumulative damage theory are compared with the aim of arriving at qualitative guidelines for applicability of the Palmgren-Miner rule in cyclic loading programs.

Fatigue Life Prediction of Gear Transmission Based on ANSYS

2014 ◽  
Vol 1055 ◽  
pp. 161-164
Author(s):  
Tao Wang ◽  
Wei Zhong Zhang ◽  
Chen Xie ◽  
Deng Xia Zhang ◽  
Yan Ru
Keyword(s):  
Fatigue Life ◽  
Life Prediction ◽  
Reliable Data ◽  
Cumulative Damage ◽  
Gear Transmission ◽  
Fatigue Life Prediction ◽  
Nominal Stress ◽  
Bending Fatigue ◽  
Unmanned System ◽  
Damage Theory

With the study subject of the gear transmission in an unmanned system, several common methods of fatigue life prediction are analyzed. According to the actual running state, S-N nominal stress method is used to predict the fatigue life of the gears. Based on the S-N data of the gear material and the linear cumulative damage theory, ANSYS is used to estimate the bending fatigue life of the gears, so as to obtain the fatigue life loss coefficient of the gears. It provides a reliable data reference of the design, use and maintenance of the gear transmission in unmanned system.

Statistical Cumulative Damage Theory for Fatigue Life Prediction

1983 ◽  
Vol 50 (3) ◽  
pp. 571-579 ◽  
Author(s):  
Z. Hashin
Keyword(s):  
Cyclic Loading ◽  
Life Prediction ◽  
Cumulative Damage ◽  
Fatigue Life Prediction ◽  
Two Stage ◽  
Fatigue Lifetime ◽  
Damage Theory ◽  
Log Normal ◽  
Log Normal Distribution ◽  
Usual Interpretation

A statistical cumulative damage theory is developed with the purpose of prediction of mean, standard deviation and probability density of fatigue lifetime of randomly variable specimens subjected to the same deterministic cyclic loading program. The theory requires availability of a deterministic cumulative damage theory for ideal nonvariable specimens, called clones. Detailed analysis is given for two-stage cyclic loading based on a previously developed deterministic cumulative damage theory and log-normal distribution of S—N curve lifetimes. Results indicate that the usual interpretation of deterministic cumulative damage theory in terms of means of lifetimes is not valid for significant scatter. Preliminary experimental results for two-stage loading are compared with analytical predictions.

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