|
|
(One intermediate revision by one other user not shown) |
Line 1: |
Line 1: |
| {| border="1" cellpadding="4" cellspacing="0" align="center" style="border-bottom: rgb(255,229,184) 1px solid; border-left: rgb(255,229,184) 1px solid; background-color: rgb(255,229,184); color: rgb(0,0,0); border-top: rgb(255,229,184) 1px solid; border-right: rgb(255,229,184) 1px solid"
| | #REDIRECT [[Arrhenius_Relationship#Arrhenius-Weibull]] |
| |-
| |
| | colspan="2" align="center" valign="middle" bgcolor="rgb(255,229,184)" | {{font|Arrhenius-Weibull|12|Tahoma|bold}}
| |
| |-
| |
| | colspan="2" bgcolor="rgb(255,229,184)" |
| |
| {| width="100%" border="1" cellpadding="2" cellspacing="0"
| |
| |-
| |
| | align="center" valign="middle" bgcolor="rgb(240,240,237)" | Model
| |
| | align="center" valign="middle" bgcolor="rgb(240,240,237)" | Life Distribution
| |
| |-
| |
| | rowspan="3" | {{arrhWeibullpdf}}
| |
| | {{weibull2pdf}}
| |
| |-
| |
| | align="center" valign="middle" bgcolor="rgb(240,240,237)" | Life Stress Relationship
| |
| |-
| |
| |{{arrhenius}}
| |
| |}
| |
| |-
| |
| | align="center" valign="middle" | Type
| |
| | bgcolor="white" |Exponential LSR Arrhenius-Weibull MLE
| |
| |-
| |
| | align="center" valign="middle" | Reliability
| |
| | bgcolor="white" | {{ArrhWeibullrel}}
| |
| |-
| |
| | align="center" valign="middle" | Reliable Life
| |
| | bgcolor="white" |{{ArrhWeibullTR}}
| |
| |-
| |
| | align="center" valign="middle" | BX Life
| |
| | bgcolor="white" |<math>{BX}=C\cdot {{e}^{\tfrac{B}{V}}}{{\left\{ -\ln \left[1-{\frac{X}{100}}\right] \right\}}^{\tfrac{1}{\beta }}}</math>
| |
| |-
| |
| | align="center" valign="middle" | Failure Rate
| |
| | bgcolor="white" |<math>\lambda \left( T,V \right)=\frac{f\left( T,V \right)}{R\left( T,V \right)}=\frac{\beta }{C\cdot {{e}^{\tfrac{B}{V}}}}{{\left( \frac{T}{C\cdot {{e}^{\tfrac{B}{V}}}} \right)}^{\beta -1}}</math>
| |
| |-
| |
| | align="center" valign="middle" | Mean or MTTF
| |
| | bgcolor="white" |<math>\overline{T}=C\cdot {{e}^{\tfrac{B}{V}}}\cdot \Gamma \left( \frac{1}{\beta }+1 \right)</math>
| |
| |-
| |
| | align="center" valign="middle" | Median
| |
| | bgcolor="white" |<math>\breve{T}=C\cdot {{e}^{\tfrac{B}{V}}}{{\left( \ln 2 \right)}^{\tfrac{1}{\beta }}}</math>
| |
| |-
| |
| | align="center" valign="middle" | Mode
| |
| | bgcolor="white" |<math>\tilde{T}=C\cdot {{e}^{\tfrac{B}{V}}}{{\left( 1-\frac{1}{\beta } \right)}^{\tfrac{1}{\beta }}}</math>
| |
| |-
| |
| | align="center" valign="middle" | Standard deviation
| |
| | bgcolor="white" |<math>{{\sigma }_{T}}=C\cdot {{e}^{\tfrac{B}{V}}}\cdot \sqrt{\Gamma \left( \frac{2}{\beta }+1 \right)-{{\left( \Gamma \left( \frac{1}{\beta }+1 \right) \right)}^{2}}}</math>
| |
| |}
| |