BlockSim Analytical Fault Tree Diagram Example: Difference between revisions
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Consider a system with three components, <math>A,</math> <math>B</math> and <math>C</math> . The system fails if <math>A,</math> <math>B</math> or <math>C</math> fails. Draw the fault tree and reliability block diagram for the system. The next two figures show both the fault tree and RBD representations. | Consider a system with three components, <math>A,\,\!</math> <math>B\,\!</math> and <math>C\,\!</math> . The system fails if <math>A,\,\!</math> <math>B\,\!</math> or <math>C\,\!</math> fails. Draw the fault tree and reliability block diagram for the system. The next two figures show both the fault tree and RBD representations. | ||
[[Image:I10.5.gif|center]] | [[Image:I10.5.gif|center]] | ||
[[Image:I10.6.gif|center|]] | [[Image:I10.6.gif|center|]] | ||
The reliability equation for either configuration is: | The reliability equation for either configuration is: | ||
::<math>{{R}_{System}}={{R}_{A}}\cdot {{R}_{B}}\cdot {{R}_{C}}</math> | ::<math>{{R}_{System}}={{R}_{A}}\cdot {{R}_{B}}\cdot {{R}_{C}}</math> | ||
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[[Image:OR gate.png|center|400px|]] | [[Image:OR gate.png|center|400px|]] | ||
Revision as of 02:06, 10 August 2012
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Consider a system with three components, [math]\displaystyle{ A,\,\! }[/math] [math]\displaystyle{ B\,\! }[/math] and [math]\displaystyle{ C\,\! }[/math] . The system fails if [math]\displaystyle{ A,\,\! }[/math] [math]\displaystyle{ B\,\! }[/math] or [math]\displaystyle{ C\,\! }[/math] fails. Draw the fault tree and reliability block diagram for the system. The next two figures show both the fault tree and RBD representations.
The reliability equation for either configuration is:
- [math]\displaystyle{ {{R}_{System}}={{R}_{A}}\cdot {{R}_{B}}\cdot {{R}_{C}} }[/math]
The figure below shows the analytic equation from BlockSim 8.
