Statistical Analysis of Two-Parameter Generalized BS-Logistic Fatigue Life Distribution

2018 ◽  
Vol 32 (4) ◽  
pp. 1231-1250
Author(s):  
Xiaoling Xu ◽  
Ronghua Wang ◽  
Beiqing Gu
Keyword(s):  
Fatigue Life ◽  
Statistical Analysis ◽  
Life Distribution ◽  
Two Parameter

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.

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.

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).

A Statistical Analysis on the Fatigue Life Characteristics of Structural Materials

2007 ◽  
Vol 353-358 ◽  
pp. 1137-1140
Author(s):  
Sang Tae Kim ◽  
Seong Soo Jang
Keyword(s):  
Fatigue Life ◽  
Statistical Analysis ◽  
Fatigue Loading ◽  
Structural Materials ◽  
Strength Degradation ◽  
New Method ◽  
Parameter Determination ◽  
Life Distribution ◽  
Degradation Model ◽  
Minimization Technique

A new method of parameter determination in the fatigue residual strength degradation model is proposed. The new method and minimization technique are compared experimentally to account for the effect of tension-compression fatigue loading on structural materials. It is shown that the correlation between experimental results and the theoretical prediction of the fatigue life, fatigue life distribution obtained by the proposed method is very reasonable.

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.

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