ALTA ALTA Standard Folio Data TNT-Lognormal - Revision history

Richard House: Redirected page to Template:WebNotes/ALTAALTA Standard Folio Data TempNonThermal

2015-07-08T20:00:33Z

Redirected page to Template:WebNotes/ALTAALTA Standard Folio Data TempNonThermal

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	When temperature and a second non-thermal stress (e.g. voltage) are the accelerated stresses of a test, then the Arrhenius and the inverse power law relationships can be combined to yield the Temperature-NonThermal (T-NT) relationship.

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Lisa Hacker at 03:49, 26 July 2012

2012-07-26T03:49:38Z

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 When temperature and a second non-thermal stress (e.g. voltage) are the accelerated stresses of a test, then the Arrhenius and the inverse power law relationships can be combined to yield the Temperature-NonThermal (T-NT) relationship.
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Athanasios Gerokostopoulos at 18:36, 16 April 2012

2012-04-16T18:36:28Z

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Athanasios Gerokostopoulos at 18:35, 16 April 2012

2012-04-16T18:35:06Z

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	\| valign="middle" \|{{Font\|Standard Folio ~~Data TNT~~-Lognormal\|11\|tahoma\|bold\|gray}}		\| valign="middle" \|{{Font\|Standard Folio Temperature Non-Thremal-Lognormal\|11\|tahoma\|bold\|gray}}
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	~~The ALTA standard folio is used to perform quantitative accelerated life testing data analysis. In this analysis, the engineer extrapolates~~ a ~~product’s failure behavior at normal conditions from life data obtained at accelerated~~ stress ~~levels. Since products fail more quickly at accelerated stress levels, this sort of analysis allows the engineer to obtain reliability information about a product~~ (e.g.~~, mean life, probability~~ of ~~failure at~~ a ~~specific time~~, ~~etc.~~) ~~in a shorter time~~.		When temperature and a second non-thermal stress (e.g. voltage) are the accelerated stresses of a test, then the Arrhenius and the inverse power law relationships can be combined to yield the Temperature-NonThermal (T-NT) relationship.
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Nikki Helms at 20:52, 22 March 2012

2012-03-22T20:52:07Z

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	\| [http://reliawiki.~~com~~/index.php/~~Template:TNT_Lognormal~~ the theory textbook...]		\| [http://reliawiki.org/index.php/Temperature-NonThermal_Relationship the theory textbook...]
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Nikki Helms at 22:05, 21 March 2012

2012-03-21T22:05:05Z

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Nikki Helms at 20:54, 21 March 2012

2012-03-21T20:54:09Z

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	~~Content 1~~		The ALTA standard folio is used to perform quantitative accelerated life testing data analysis. In this analysis, the engineer extrapolates a product’s failure behavior at normal conditions from life data obtained at accelerated stress levels. Since products fail more quickly at accelerated stress levels, this sort of analysis allows the engineer to obtain reliability information about a product (e.g., mean life, probability of failure at a specific time, etc.) in a shorter time.
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Nikki Helms at 22:09, 7 March 2012

2012-03-07T22:09:29Z

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-The T-NT lognormal model <math>pdf</math> can be obtained first by setting <math>\overline{T}=L(V)</math>
+| [http://reliawiki.com/index.php/Template:TNT_Lognormal the theory textbook...]
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-|  valign="middle" | [http://reliawiki.com/index.php/Template:TNT_Lognormal TNT Lognormal]
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-|valign="middle" | [http://reliawiki.com/index.php/Template:Example:TNT See an example]
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Nicolette Young at 17:53, 14 February 2012

2012-02-14T17:53:09Z

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	\| valign="middle" \| [http://reliawiki.com/index.php/Template:TNT_Lognormal TNT Lognormal]		\| valign="middle" \| [http://reliawiki.com/index.php/Template:TNT_Lognormal TNT Lognormal]
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			\|valign="middle" \| [http://reliawiki.com/index.php/Template:Example:TNT See an example]
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Nicolette Young at 22:05, 10 February 2012

2012-02-10T22:05:24Z

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	The T-NT lognormal model <math>pdf</math> can be obtained first by setting <math>\overline{T}=L(V)</math>		The T-NT lognormal model <math>pdf</math> can be obtained first by setting <math>\overline{T}=L(V)</math>
	in Eqn. (Temp-Volt).		in Eqn. (Temp-Volt).
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	Therefore:		Therefore:

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	<math>\breve{T}=L(V)=\frac{C}{{{U}^{n}}}{{e}^{\tfrac{B}{V}}}</math>		<math>\breve{T}=L(V)=\frac{C}{{{U}^{n}}}{{e}^{\tfrac{B}{V}}}</math>

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	or:		or:

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	<math>{{e}^{{{\overline{T}}^{\prime }}}}=\frac{C}{{{U}^{n}}}{{e}^{\tfrac{B}{V}}}</math>		<math>{{e}^{{{\overline{T}}^{\prime }}}}=\frac{C}{{{U}^{n}}}{{e}^{\tfrac{B}{V}}}</math>

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	Thus:		Thus:

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	<math>{{\overline{T}}^{\prime }}=\ln (C)-n\ln (U)+\frac{B}{V}</math>		<math>{{\overline{T}}^{\prime }}=\ln (C)-n\ln (U)+\frac{B}{V}</math>

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	Substituting Eqn.(TV-logn-mean)into Eqn. (TV-logn-pdf) yields the T-NT lognormal model <math>pdf</math> or:		Substituting Eqn.(TV-logn-mean)into Eqn. (TV-logn-pdf) yields the T-NT lognormal model <math>pdf</math> or:

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	<math>f(T,U,V)=\frac{1}{T\text{ }{{\sigma }_{{{T}'}}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{{T}'-\ln (C)+n\ln (U)-\tfrac{B}{V}}{{{\sigma }_{{{T}'}}}} \right)}^{2}}}}</math>		<math>f(T,U,V)=\frac{1}{T\text{ }{{\sigma }_{{{T}'}}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{{T}'-\ln (C)+n\ln (U)-\tfrac{B}{V}}{{{\sigma }_{{{T}'}}}} \right)}^{2}}}}</math>

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	\| ~~align="center"~~ valign="middle" \| [http://reliawiki.com/index.php/Template:TNT_Lognormal TNT Lognormal]		\| valign="middle" \| [http://reliawiki.com/index.php/Template:TNT_Lognormal TNT Lognormal]

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