Abstract
The applicability of the fatigue-life distribution of Birnbaum-Saunders for modeling the components of partially prestressed concrete girder bridges is argued by the agreement of the calculated distribution with a large data set comprised of many small censored samples, each put into standardized form, of the fatigue-lives of bridge components. Also, the Weibull and lognormal distributions are compared by the appropriateness of the assumptions in their derivation to the cumulative damage to bridge components. The maximum likelihood estimates of the parameters of the fatigue lives of the prestressing steel, mild steel, and concrete are found from randomly censored samples, for several censored data-sets under various stress regimes. The parameters are postulated to be log-linear functions of the maximum stress and stress regimes. Weighted least-square regression is applied to determine the unknown coefficients. To compensate for differences in the precision of the estimates obtained under each stress regime the variances are calculated by the bootstrap statistical method. This procedure gives an estimated distribution of the fatigue life with its parameters functions of the stress regime which is applicable under virtually any realistic condition.
| Original language | English |
|---|---|
| Pages (from-to) | 93-115 |
| Number of pages | 23 |
| Journal | International Journal of Reliability, Quality and Safety Engineering |
| Volume | 4 |
| Issue number | 1 |
| Publication status | Published - 1 Dec 1997 |
| Externally published | Yes |
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Keywords
- Censored data
- Distributions
- Fatigue
- Reliability
ASJC Scopus subject areas
- Nuclear Energy and Engineering
- Computer Science(all)
- Aerospace Engineering
- Energy Engineering and Power Technology
- Electrical and Electronic Engineering
- Industrial and Manufacturing Engineering
- Safety, Risk, Reliability and Quality
Cite this
On the fatigue-life distributions of engineering materials. / Khaleel, M. A.; Saunders, S. C.
In: International Journal of Reliability, Quality and Safety Engineering, Vol. 4, No. 1, 01.12.1997, p. 93-115.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - On the fatigue-life distributions of engineering materials
AU - Khaleel, M. A.
AU - Saunders, S. C.
PY - 1997/12/1
Y1 - 1997/12/1
N2 - The applicability of the fatigue-life distribution of Birnbaum-Saunders for modeling the components of partially prestressed concrete girder bridges is argued by the agreement of the calculated distribution with a large data set comprised of many small censored samples, each put into standardized form, of the fatigue-lives of bridge components. Also, the Weibull and lognormal distributions are compared by the appropriateness of the assumptions in their derivation to the cumulative damage to bridge components. The maximum likelihood estimates of the parameters of the fatigue lives of the prestressing steel, mild steel, and concrete are found from randomly censored samples, for several censored data-sets under various stress regimes. The parameters are postulated to be log-linear functions of the maximum stress and stress regimes. Weighted least-square regression is applied to determine the unknown coefficients. To compensate for differences in the precision of the estimates obtained under each stress regime the variances are calculated by the bootstrap statistical method. This procedure gives an estimated distribution of the fatigue life with its parameters functions of the stress regime which is applicable under virtually any realistic condition.
AB - The applicability of the fatigue-life distribution of Birnbaum-Saunders for modeling the components of partially prestressed concrete girder bridges is argued by the agreement of the calculated distribution with a large data set comprised of many small censored samples, each put into standardized form, of the fatigue-lives of bridge components. Also, the Weibull and lognormal distributions are compared by the appropriateness of the assumptions in their derivation to the cumulative damage to bridge components. The maximum likelihood estimates of the parameters of the fatigue lives of the prestressing steel, mild steel, and concrete are found from randomly censored samples, for several censored data-sets under various stress regimes. The parameters are postulated to be log-linear functions of the maximum stress and stress regimes. Weighted least-square regression is applied to determine the unknown coefficients. To compensate for differences in the precision of the estimates obtained under each stress regime the variances are calculated by the bootstrap statistical method. This procedure gives an estimated distribution of the fatigue life with its parameters functions of the stress regime which is applicable under virtually any realistic condition.
KW - Censored data
KW - Distributions
KW - Fatigue
KW - Reliability
UR - http://www.scopus.com/inward/record.url?scp=9744238710&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=9744238710&partnerID=8YFLogxK
M3 - Article
VL - 4
SP - 93
EP - 115
JO - International Journal of Reliability, Quality and Safety Engineering
JF - International Journal of Reliability, Quality and Safety Engineering
SN - 0218-5393
IS - 1
ER -