Study on the Fatigue Reliability Model Based on Probability Distribution of Fatigue Life under Spectrum Loading

2010 ◽  
Vol 44-47 ◽  
pp. 2788-2792
Author(s):  
Ying Wu ◽  
Li Yang Xie
Keyword(s):  
Fatigue Life ◽  
Fatigue Strength ◽  
Probability Distribution ◽  
Life Cycles ◽  
Reliability Model ◽  
Fatigue Reliability ◽  
Load History ◽  
Life Distribution ◽  
Variable Amplitude ◽  
Variable Amplitude Load

Under variable amplitude load history the exact distribution of fatigue strength corresponding to a specified number of life cycles cannot be obtained exactly by test, fatigue strength distribution can be obtained from fatigue life distribution. According to statistical property analysis of Miner cumulative damage rule, probability distribution of fatigue life under variable amplitude load history is predicted based-on constant amplitude median Sa-Sm-N surface. In the end, a fatigue reliability model is established to calculate fatigue reliability according to stress distribution as well as fatigue life distribution function. The model is applicable to calculate fatigue reliability under stochastic load environments.

Fatigue Reliability Functions

1989 ◽  
Vol 111 (4) ◽  
pp. 443-455 ◽  
Author(s):  
V. A. Avakov ◽  
R. G. Shomperlen
Keyword(s):  
Distribution Function ◽  
Fatigue Life ◽  
Fatigue Strength ◽  
Fatigue Curve ◽  
Strength Distribution ◽  
Distribution Model ◽  
Fatigue Reliability ◽  
Life Distribution ◽  
Statistical Procedures ◽  
Two Parameter

There are many fatigue test and statistical procedures to establish the life distribution function Q = Q(N) at constant stress (S) level. But the stress distribution function, Q = Q(S), at specified life (N) is more important to the designer, and it remains less developed. Generally, if the fatigue life distribution Q(N) and fatigue curve S(N) equations are defined, the fatigue strength distribution Q(S) is implied. However, it has been shown [4, 6, 7, 9] that any life distribution model Q(N) may be transformed into the complicated strength distribution function Q(S). In this study orthogonal relations have been developed in order to predict complications and to resolve the problem under certain conditions. With the aid of the orthogonal relations strength distributions Q(S) have been deduced using (1) lognormal, (2) two-parameter Weibull, and (3) three-parameter logweibull life models Q(N).

Fatigue Reliability Functions in Semilogarithmic Coordinates

1991 ◽  
Author(s):  
Vladimir A. Avakov
Keyword(s):  
Fatigue Life ◽  
Coordinate System ◽  
Strength Distribution ◽  
Fatigue Reliability ◽  
Life Distribution ◽  
Similar Transformation ◽  
Asymptotic Type ◽  
Life Distributions ◽  
Strength Distributions

Abstract In the previous publication [2], the transformation between fatigue life and strength distribution was established using double-logarithmic coordinate system (lnN-lnS). Here, a similar transformation is established using a semi logarithmic (lnN-S) coordinate system. With the aid of the developed orthogonal relations, lognormal, Weibull and three-parameter logweibull life distributions have been transformed into normal, asymptotic type 1 of smallest value, and three-parameter Weibull strength distributions, respectively. This procedure may be applied to other types of fatigue life distribution.

scholarly journals Dominance distributions for fatigue performance of materials and its application in material selection

2020 ◽  
Author(s):  
Xin Bai ◽  
Peng Zhang ◽  
Enna Yang ◽  
Qiqiang Duan ◽  
Hao Bo ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Fatigue Life ◽  
Probability Distribution ◽  
Reliability Index ◽  
Material Selection ◽  
Fatigue Property ◽  
Fatigue Performance ◽  
New Method ◽  
Variable Amplitude ◽  
Casting Alloys

A new method for the comparison of fatigue performance among different materials is proposed by using Monte-Carlo technology. The uncertainty of material’s fatigue property and the diversity of service loads are respectively described as a reliability index and a probability distribution. Using fatigue life as the standard measure of fatigue performance, two kinds of diagrams are developed as the dominance distributions for fatigue performance of materials. After the implication in the material selection from two casting alloys, the results show that the new method can evaluate the fatigue performance among different materials no matter withsanding constant or variable amplitude loading, which is very easy to guide the judgment whether the material has better fatigue performance or not.

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