OR Gate Example: Difference between revisions

From ReliaWiki
Jump to navigation Jump to search
No edit summary
 
(10 intermediate revisions by 2 users not shown)
Line 1: Line 1:
<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>
===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|]]
<br>


====OR Gate Example====
[[Image:10_4.png|center|100px|link=|]]
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|150px|]]
<br>


====Example====
Consider a system with three components, ''A'', ''B'' and  ''C''.  The system fails if ''A'', ''B'' or ''C'' fails.  Draw the fault tree and reliability block diagram for the system.  The next two figures show both the FTD and RBD representations.


[[Image:I10.6.png|center|150px|]]
[[Image:I10.5.png|center|200px|link=|]]
<br>
 
 
[[Image:I10.6.png|center|200px|link=|]]


<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>


The figure below shows the analytic equation from BlockSim 8.
::<math>{{R}_{System}}={{R}_{A}}\cdot {{R}_{B}}\cdot {{R}_{C}}\,\!</math>


[[Image:OR gate.png|center|thumb|400px|]]
The figure below shows the analytic equation from BlockSim.


<br>
[[Image:OR gate.png|center|600px|link=|]]

Latest revision as of 21:01, 18 September 2023

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.



This example also appears in the System analysis reference.

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, A, B and C. The system fails if A, B or C 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.

OR gate.png
Retrieved from "https://www.reliawiki.com/index.php?title=OR_Gate_Example&oldid=66085"