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.

Fatigue Reliability Functions in Semilogarithmic Coordinates

1991 ◽  
Vol 113 (3) ◽  
pp. 352-358 ◽  
Author(s):  
V. A. Avakov
Keyword(s):  
Fatigue Life ◽  
Coordinate System ◽  
Strength Distribution ◽  
Fatigue Reliability ◽  
Life Distribution ◽  
Similar Transformation ◽  
Asymptotic Type ◽  
Life Distributions ◽  
Straight Lines

In the previous publication [2], the transformation between fatigue life and strength distribution was established using double-logarithmic coordinate system (InN-InS). Here, a similar transformation is established using a semilogarithmic (InN-S) coordinate system. It is assumed that the set of S = Sj (N/Qj) (j = 1,2,...,p) relations, plotted in the InN-S coordinates, becomes a family of parallel straight lines. 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.

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.

Concrete Fatigue Life Characteristics of the Different Survival Rates in the Lateral Pressure Conditions

2012 ◽  
Vol 600 ◽  
pp. 250-255
Author(s):  
Qiang Cai ◽  
Ji Ming Kong ◽  
Ze Fu Chen
Keyword(s):  
Fatigue Life ◽  
Life Stress ◽  
Failure Modes ◽  
Survival Curve ◽  
Survival Rates ◽  
Life Distribution ◽  
Fatigue Design ◽  
Set Up ◽  
Fatigue Equation ◽  
Two Parameter

Under cyclic loading of concrete structures, fatigue failure is the main failure modes of fatigue, which has become the fatigue design of concrete structure must be considered, then the concrete fatigue studies must clarify the fatigue life of concrete under different survival curve S-N curve. Based on the statistics of the two parameter Weibull distribution theory, obtain the concrete under different survival rates of fatigue life distribution, namely to improve survival, reduce the fatigue life; stress level is reduced, the fatigue life is increased; and has set up more than 50% under different survival rates of concrete fatigue equation.

Statistical Inference of LZL-Type Mass Flowmeter Life Distribution Model

2010 ◽  
Vol 458 ◽  
pp. 173-178
Author(s):  
Zhen Zhou ◽  
L.N. Zhang ◽  
Y. Qin ◽  
D.Z. Ma ◽  
B. Niu
Keyword(s):  
Least Square ◽  
Distribution Model ◽  
Maintenance Policy ◽  
Life Distribution ◽  
Mass Flowmeter ◽  
Failure Data ◽  
Distribution Type ◽  
Two Parameter ◽  
Field Failure ◽  
Type Mass

Characteristics of field failure data are analyzed in this paper. The failure data and sales record of LZL-type mass flowmeter are used to infer life distribution of this conduct. The lines can be fitted in coordinates of six distribution using least square and the residual sum of squares are compared, the minimum correspond is the best distribution type. The results show that the life distribution style of this conduct is the two parameter exponential distribution, which is the base to analyze and predict failure development, research failure mechanism and draw up maintenance policy.

A Mixed-Effect Multi-Failure-Mechanism Fatigue Reliability Model

2010 ◽  
Vol 118-120 ◽  
pp. 37-42
Author(s):  
Li Yang Xie ◽  
Wen Qiang Lin ◽  
Feng Lu
Keyword(s):  
Distribution Function ◽  
Probability Function ◽  
Failure Mechanisms ◽  
Reliability Model ◽  
Conditional Survival ◽  
Cycle Fatigue ◽  
Fatigue Reliability ◽  
Life Distribution ◽  
Mixed Effect ◽  
Reliability Models

Based on the concept of multilevel statistics, mixed-effect fatigue reliability models are presented, by which fatigue reliability can be directly calculated according to stress distribution and fatigue life distribution function condition to stress. Mathematically, the fatigue reliability is estimated as the expectation of a conditional survival probability function to the stochastic stress history. Especially, such models are capable of estimating the fatigue reliability of a component with competing failure mechanisms such as conventional fatigue and giga-cycle fatigue, where two groups of P-S-N curves are involved.

Two-Parameter Weibull Distribution Theory Testing Analysis in Fatigue Life of Asphalt Mixture

2011 ◽  
Vol 97-98 ◽  
pp. 45-48 ◽  
Author(s):  
Jie Sun ◽  
Jiang Miao Yu ◽  
Hai Sheng Zhao
Keyword(s):  
Fatigue Life ◽  
Weibull Distribution ◽  
Asphalt Concrete ◽  
Asphalt Mixture ◽  
Distribution Theory ◽  
Life Distribution ◽  
Strong Representation ◽  
Data Source ◽  
Complicated Conditions ◽  
Two Parameter

It has been commonly used normal distribution to describe the fatigue life of asphalt concrete. Because of the variability of the material itself and environmental conditions for test, experimental fatigue life datas obtained show a large discrete. Through a large number of laboratory tests and optimization of the strong representation of the data source, this paper verified distribution of the fatigue life of asphalt concrete in statistical in the use of two-parameter Weibull distribution theory and obtained fatigue life equation by regression under different failure probability.The results showed that: Weibull distribution theory can be used to describe asphalt concrete fatigue life distribution under the complicated conditions in a multi-factor.

Sign in / Sign up

Export Citation Format

Share Document