|
|
(33 intermediate revisions by 2 users not shown) |
Line 1: |
Line 1: |
| {| border="1" cellpadding="4" cellspacing="0" align="center" | bgcolor="rgb(255,229,184)"
| | [[Category: For Deletion]] |
| |-
| |
| | colspan="2" align="center" valign="middle" bgcolor="rgb(255,229,184)" | Arrhenious-Weibull
| |
| |-
| |
| | colspan="2" |
| |
| {| width="0" border="1" cellpadding="2" cellspacing="0" bgcolor="rgb(240,240,237)
| |
| |-
| |
| | align="center" valign="middle" bgcolor="rgb(240,240,237)" | Model
| |
| | align="center" valign="middle" bgcolor="rgb(240,240,237)" | Life Distribution
| |
| |-
| |
| | rowspan="3" | <math>f(t,V)=\frac{\beta }{C\cdot {{e}^{\frac{B}{V}}}}{{\left( \frac{t}{C\cdot {{e}^{\tfrac{B}{V}}}} \right)}^{\beta -1}}{{e}^{-{{\left( \tfrac{t}{C\cdot {{e}^{\tfrac{B}{V}}}} \right)}^{\beta }}}}</math>
| |
| | {{weibull2pdf}}
| |
| |-
| |
| | align="center" valign="middle" bgcolor="rgb(240,240,237)" | Life Stress Relationship
| |
| |-
| |
| | <math>L(V)=C{{e}^{\tfrac{B}{V}}}</math>
| |
| |}
| |
| | |
| |-
| |
| |align="center" valign="middle" bgcolor="rgb(240,240,237)" | Type
| |
| | Exponential LSR
| |
| |-
| |
| | align="center" valign="middle" bgcolor="rgb(240,240,237)" | Reliability
| |
| | <math>R(T,V)={{e}^{-{{\left( \tfrac{T}{C\cdot {{e}^{\tfrac{B}{V}}}} \right)}^{\beta }}}}</math>
| |
| |-
| |
| | align="center" valign="middle" bgcolor="rgb(240,240,237)" |Reliable Life
| |
| | <math>{T(R)}=C\cdot {{e}^{\tfrac{B}{V}}}{{\left\{ -\ln \left[R\right] \right\}}^{\tfrac{1}{\beta }}}</math>
| |
| |-
| |
| | align="center" valign="middle" bgcolor="rgb(240,240,237)" |BX Life
| |
| | <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" bgcolor="rgb(240,240,237)" |Failure Rate
| |
| | <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="top" bgcolor="rgb(240,240,237)" |Mean or MTTF
| |
| | <math>\overline{T}=C\cdot {{e}^{\tfrac{B}{V}}}\cdot \Gamma \left( \frac{1}{\beta }+1 \right)</math>
| |
| |-
| |
| | align="center" valign="middle" bgcolor="rgb(240,240,237)" |Median
| |
| | <math>\breve{T}=C\cdot {{e}^{\tfrac{B}{V}}}{{\left( \ln 2 \right)}^{\tfrac{1}{\beta }}}</math>
| |
| |-
| |
| | align="center" valign="middle" bgcolor="rgb(240,240,237)" |Mode
| |
| | <math>\tilde{T}=C\cdot {{e}^{\tfrac{B}{V}}}{{\left( 1-\frac{1}{\beta } \right)}^{\tfrac{1}{\beta }}}</math>
| |
| |-
| |
| | align="center" valign="middle" bgcolor="rgb(240,240,237)" |Standard deviation
| |
| | <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>
| |
| |}
| |