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A general Birnbaum-Saunders model and its application in ALT models
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TitleInfo
Title
A general Birnbaum-Saunders model and its application in ALT models
Name
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Cheng
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Yao
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1988-
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yao cheng
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author
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Pham
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Hoang
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Hoang Pham
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Advisory Committee
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chair
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Advisory Committee
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internal member
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Li
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Kang
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Kang Li
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Advisory Committee
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internal member
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Rutgers University
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degree grantor
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Graduate School - New Brunswick
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Text
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theses
OriginInfo
DateCreated
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2013
DateOther
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(type = degree)
2013-01
Place
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xx
Language
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eng
Abstract
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Fatigue, recognized as one of the main causes of failures of mechanical and electrical components, is a class of structural damage that occurs when material is exposed to cyclic application of stress with varying or constant amplitudes. It is necessary to develop suitable lifetime distributions to predict the reliability and useful life of components or systems which experience fatigue failure due to random or constant amplitude loading during their usage. Birnbaum and Saunders (1968) propose the standard Birnbaum-Saunders (SB-S) distribution which belongs to the normal distribution family to fit the fatigue failure data to a life distribution. This model has a single dominant crack which appears and grows as the structure experiences repeated load cycles up to the point that the crack is sufficiently long to cause failure. The underlying assumptions, derivations, probability density function (pdf), cumulative density function (cdf), hazard function, reliability function, characteristics and properties of SB-S distribution have been investigated. The hazard function of SB-S distribution is shown to be always upside-down, which is limited because it fails to cover other types of failure conditions. In this thesis, we overcome the limitations of the SB-S distribution in modeling different types of failure rates and generalize the SB-S to be generalized Birnbaum-Saunders (GB-S) distribution. We present the characteristics of the distribution and the sufficient and necessary conditions that enable it to model multiple failure conditions. We also verify that the GB-S distribution provides better fit to failure data and propose new methodologies for the estimation of the parameters of the GB-S distribution for different sample sizes and shape parameters. An accelerated life testing (ALT) model can utilize the accelerated failure data to predict the reliability and lifetime of components or systems under normal environments. In this research, we develop the GB-S based ALT models, and deal with the inference procedure. We compare the performance of GB-S accelerated model with other ALT models. We also develop the GB-S based accelerated life testing plans for reliability performance prediction since a properly designed ALT plan makes the reliability estimation and prediction more efficient.
Subject
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Topic
Industrial and Systems Engineering
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Rutgers University Electronic Theses and Dissertations
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ETD_4438
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electronic resource
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Extent
xi, 132 p. : ill.
Note
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M.S.
Note
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Includes bibliographical references
Note
(type = statement of responsibility)
by Yao Cheng
Subject
(authority = ETD-LCSH)
Topic
Materials--Fatigue
Subject
(authority = ETD-LCSH)
Topic
Accelerated life testing
Identifier
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http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000067753
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Graduate School - New Brunswick Electronic Theses and Dissertations
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rucore19991600001
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doi:10.7282/T3CV4GDT
Genre
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ETD graduate
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Rights
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The author owns the copyright to this work.
RightsHolder
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Name
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cheng
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yao
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Permission or license
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2012-12-21 03:09:16
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yao cheng
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Affiliation
Rutgers University. Graduate School - New Brunswick
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Author Agreement License
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I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
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2013-01-31
DateTime
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2015-01-31
Type
Embargo
Detail
Access to this PDF has been restricted at the author's request. It will be publicly available after January 31st, 2015.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
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windows xp
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