AND Gate Example: Difference between revisions
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<noinclude>{{Banner BlockSim Examples}}</noinclude> | <noinclude>{{Banner BlockSim Examples}} | ||
''This example also appears in the [https://help.reliasoft.com/reference/system_analysis System analysis reference]''. </noinclude> | |||
===AND Gate=== | ===AND Gate=== | ||
[[Image:10_1.png|center|100px|]] | [[Image:10_1.png|center|100px|link=|]] | ||
In an AND gate, the output event occurs if all input events occur. In system reliability terms, this implies that all components must fail (input) in order for the system to fail (output). When using RBDs, the equivalent is a simple parallel configuration. | In an AND gate, the output event occurs if all input events occur. In system reliability terms, this implies that all components must fail (input) in order for the system to fail (output). When using RBDs, the equivalent is a simple parallel configuration. | ||
====Example==== | ====Example==== | ||
Consider a system with two components, | Consider a system with two components, ''A'' and ''B''. The system fails if both ''A'' and ''B'' fail. Draw the fault tree and reliability block diagram for the system. The next two figures show both the FTD and RBD representations. | ||
<center>[[Image:2.png|center|200px|]] | <center>[[Image:2.png|center|200px|link=|]] | ||
[[Image:10_3.png|center|200px|]]</center | [[Image:10_3.png|center|200px|link=|]]</center> | ||
The reliability equation for either configuration is: | The reliability equation for either configuration is: | ||
::<math>{{R}_{System}}={{R}_{A}}+{{R}_{B}}-{{R}_{A}}\cdot {{R}_{B}}</math> | ::<math>{{R}_{System}}={{R}_{A}}+{{R}_{B}}-{{R}_{A}}\cdot {{R}_{B}}\,\!</math> | ||
The figure below shows the analytic equation from BlockSim | The figure below shows the analytic equation from BlockSim. | ||
[[Image:AND gate.png|center| | [[Image:AND gate.png|center|600px|link=|]] | ||
Latest revision as of 21:01, 18 September 2023
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This example also appears in the System analysis reference.
AND Gate
In an AND gate, the output event occurs if all input events occur. In system reliability terms, this implies that all components must fail (input) in order for the system to fail (output). When using RBDs, the equivalent is a simple parallel configuration.
Example
Consider a system with two components, A and B. The system fails if both A and B fail. Draw the fault tree and reliability block diagram for the system. The next two figures show both the FTD and RBD representations.
The reliability equation for either configuration is:
- [math]\displaystyle{ {{R}_{System}}={{R}_{A}}+{{R}_{B}}-{{R}_{A}}\cdot {{R}_{B}}\,\! }[/math]
The figure below shows the analytic equation from BlockSim.
