Models of Failure - Brossura

Gertsbakh, Ilya; Kordonskiy, Kh.B.

 
9783540045694: Models of Failure

Sinossi

The increase in the requirements on the reliability of units makes it necessary to analyze the relationship between mathematicalmeth­ ods of calculating reliability and the physical nature of fail­ ures. The difficulty of such an analysis is obvious. On the one hand, in making a representation of the physical picture of a phe­ nomenon, one can make an error in the direction of excessive sim­ plification. On the other hand, in the mathematical treatment of the physical scheme, it may be necessary to use extremely complex and fine analytical methods, and their simplified exposition bor­ ders on vulgarization. Without the aid of a large number of specialists working in the field of analysis and calculation of systems reliability, an ex­ posi tion of models of failures and their mathematical treatment would be unobtainable. The authors take this opportunity to express their gratitude to Academicians N. G. B r u y vic e h and Y u. V. Lin n i k conversations with whom clarified a number of problems treated, to active member of the Academy of Sciences of the UkrSSR B. V.

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Contenuti

I. Classifications of Causes of Failures.- II. Instantaneous Damage.- The exponential distribution.- The threshold of sensitivity.- Superposition of exponential distributions.- III. Cumulative Damages.- Models of wear.- The gamma distribution of the lifetime.- Normal distribution of lifetime.- The gamma distribution with bias parameter.- The functional gamma distribution.- The logarithmic normal distribution.- Linear sample functions of wear.- Analysis of sample functions of wear.- IV. Processes of Damage with Relaxation.- V. Superposition of Causes of Failures. Chain Systems.- The simultaneous action of several causes of failure.- The Weibull-Gnedenko distribution.- The Weibull-Gnedenko functional distribution.- VI. The Failure Rate.- The failure rate and the residual lifetime.- Monotonically increasing failure rate.- Nonmonotonic failure rate.- Conclusion.

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9780387045696: Models of Failure

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ISBN 10:  0387045694 ISBN 13:  9780387045696
Brossura