OR Gate Example: Difference between revisions

From ReliaWiki
Jump to navigation Jump to search
Line 2: Line 2:
===OR Gate===
===OR Gate===
In an OR gate, the output event occurs if at least one of the input events occurs.  In system reliability terms, this implies that if any component fails (input) then the system will fail (output).  When using RBDs, the equivalent is a series configuration.
In an OR gate, the output event occurs if at least one of the input events occurs.  In system reliability terms, this implies that if any component fails (input) then the system will fail (output).  When using RBDs, the equivalent is a series configuration.
<br>
 
<br>
[[Image:10_4.png|center|100px|]]
[[Image:10_4.png|center|100px|]]
<br>


====Example====
====Example====
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 FTD 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 FTD and RBD representations.
<br>
 
[[Image:I10.5.png|center|200px|]]
[[Image:I10.5.png|center|200px|]]
<br>




[[Image:I10.6.png|center|200px|]]
[[Image:I10.6.png|center|200px|]]
<br>


<br>
The reliability equation for either configuration is:  
The reliability equation for either configuration is:  
<br>


::<math>{{R}_{System}}={{R}_{A}}\cdot {{R}_{B}}\cdot {{R}_{C}}</math>
::<math>{{R}_{System}}={{R}_{A}}\cdot {{R}_{B}}\cdot {{R}_{C}}</math>
Line 26: Line 20:


[[Image:OR gate.png|center|500px|]]
[[Image:OR gate.png|center|500px|]]
<br>

Revision as of 07:01, 6 August 2012

BlockSim Examples Banner.png


New format available! This reference is now available in a new format that offers faster page load, improved display for calculations and images and more targeted search.

As of January 2024, this Reliawiki page will not continue to be updated. Please update all links and bookmarks to the latest references at BlockSim examples and BlockSim reference examples.




OR Gate

In an OR gate, the output event occurs if at least one of the input events occurs. In system reliability terms, this implies that if any component fails (input) then the system will fail (output). When using RBDs, the equivalent is a series configuration.

10 4.png

Example

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 FTD and RBD representations.

I10.5.png


I10.6.png

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.

OR gate.png