Template:Aaw rl: Difference between revisions
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(Created page with '====Reliable Life==== <br> For the Arrhenius-Weibull relationship, the reliable life, <math>{{t}_{R}}</math> , of a unit for a specified reliability and starting the mission at…') |
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This is the life for which the unit will function successfully with a reliability of <math>R({{t}_{R}})</math> . If <math>R({{t}_{R}})=0.50</math> then <math>{\breve{T}</math>, | This is the life for which the unit will function successfully with a reliability of <math>R({{t}_{R}})</math> . If <math>R({{t}_{R}})=0.50</math> then <math>{{t}_{R}}=\breve{T}</math>, the median life, or the life by which half of the units will survive. | ||
the median life, or the life by which half of the units will survive. | |||
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Revision as of 23:35, 13 February 2012
Reliable Life
For the Arrhenius-Weibull relationship, the reliable life, [math]\displaystyle{ {{t}_{R}} }[/math] , of a unit for a specified reliability and starting the mission at age zero is given by:
- [math]\displaystyle{ {{t}_{R}}=C\cdot {{e}^{\tfrac{B}{V}}}{{\left\{ -\ln \left[ R\left( {{t}_{R}},V \right) \right] \right\}}^{\tfrac{1}{\beta }}} }[/math]
This is the life for which the unit will function successfully with a reliability of [math]\displaystyle{ R({{t}_{R}}) }[/math] . If [math]\displaystyle{ R({{t}_{R}})=0.50 }[/math] then [math]\displaystyle{ {{t}_{R}}=\breve{T} }[/math], the median life, or the life by which half of the units will survive.