Numerical examples involving series, parallel and general structural systems are used to demonstrate the methodology. Copyright © 1992 – document. A simple observation leads to a hierarchy of upper and lower bounds that converge to the exact system reliability. edu and the wider internet faster and more securely, please take a few seconds toupgrade your browser.

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Registered in England & Wales No. Correspondence to
Y-C Hsieh.
Therefore, for her system:
Thus Julie determined that
at 150 hours, RSystem = 86. Since the component reliabilities
are independent, the covariance terms are zero. It is possible, however, to determine, with relative ease, bounds on the system reliability.

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, the probability of
sliding along slip surfaces i and j in the same why not try here Calculating P(EiEj),
which is the intersection of two failure events, is
generally not easy. One or the other of these bounds may also serve as an approximation to the desired reliability if the conditions leading to its derivation bold. A coherent system with independent non-renewable components with arbitrary lifetime distributions is considered.

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Figure 6: System
Reliability and 95% Lower One-Sided Confidence Bound
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Corporation, ALL RIGHTS RESERVED
The weibull. write(new browse around this web-site It is shown in this paper that linear programming (LP) can be used to compute bounds for any system for any level of information available on the component probabilities. He wanted Julie
to take the subsystem test data that had just come back
from the lab and figure out what the 95% one-sided lower
confidence bound on system reliability would be at 150
hours.

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Figure 4: Calculation of Kα for a 95%
One-Sided Lower BoundJulie now had everything she
needed to compute the lower bound of the system
reliability. Plugging the values into the equation for
the lower bound of the system reliability at a 95%
confidence at 150 hours, Julie found that the lower
bound on reliability was 76. As the
slope stability is insensitive to φ, only su1, su2, and su3
are considered as uncertain variables. Download preview PDF. (1), P(Ei) can be assessed via methods
such as First Order Reliability Method (FORM)
and Monte Carlo simulation. 4096 potential slip surfaces considered in the
system reliability analysis.

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In order to identify the representative slip
sur-faces governing the slope failure, the number of
potential slip surfaces must be sufficiently large. For more information please visit our Permissions help page. 2601598Instant access to the full article PDF. The
slip surfaces differ in the entry point, exit point as
well as the radius.
Let su1, su2, and su3 denote the average undrained
shear strengths of the three clay layers, and φ denote
the average friction angle of the sandy fill.

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In this way, the complex problem of estimating
system failure probability is reduced to problems
of estimating failure probabilities corresponding
to various single limit states as well as the
correla-tion coefficients among various failure modes. .

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