Template:Example: Stress-Strength Analysis with Parameter Uncertainty - Revision history

Lisa Hacker: Redirected page to Stress-Strength Analysis in Design for Reliability

2012-08-15T06:44:33Z

Redirected page to Stress-Strength Analysis in Design for Reliability

← Older revision		Revision as of 06:44, 15 August 2012
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	[[~~Category: For Deletion~~]]		#REDIRECT [[Stress-Strength_Analysis_in_Design_for_Reliability]]

Kate Racaza: merged content with page: Stress-Strength_Parameter_Uncertainty_Example

2012-07-30T04:20:07Z

merged content with page: Stress-Strength_Parameter_Uncertainty_Example

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Nicolette Young at 23:36, 25 April 2012

2012-04-25T23:36:12Z

← Older revision		Revision as of 23:36, 25 April 2012
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	First, we need to estimate the stress and strength distributions using the above data. The estimated stress distribution is:		First, we need to estimate the stress and strength distributions using the above data. The estimated stress distribution is:

	[[Image:Stress-Strength Example 1 Stress-Distribution.png\|thumb\|center\|~~400px~~]]		[[Image:Stress-Strength Example 1 Stress-Distribution.png\|thumb\|center\|250px]]

	The estimated strength distribution is:		The estimated strength distribution is:

	[[Image:Stress-Strength Example 1 Strength-Distribution.png\|thumb\|center\|~~400px~~]]		[[Image:Stress-Strength Example 1 Strength-Distribution.png\|thumb\|center\|250px]]

	Then we open the Stress-Strength tool and choose to compare the two data sheets. The following picture shows the ''pdf'' curves of the two data sets:		Then we open the Stress-Strength tool and choose to compare the two data sheets. The following picture shows the ''pdf'' curves of the two data sets:

	[[Image:Stress-Strength Example 1 pdf curve.png\|thumb\|center\|~~400px~~]]		[[Image:Stress-Strength Example 1 pdf curve.png\|thumb\|center\|250px]]

	Since the warranty is 1 year/15,000 miles, all the vehicles with mileage larger than 15,000 should not be considered in the calculation. This is done by using the following settings in the tool:		Since the warranty is 1 year/15,000 miles, all the vehicles with mileage larger than 15,000 should not be considered in the calculation. This is done by using the following settings in the tool:

	[[Image:Stress-Strength Example 1 Calculation Settings.png\|thumb\|center\|~~400px~~]]		[[Image:Stress-Strength Example 1 Calculation Settings.png\|thumb\|center\|250px]]

	The calculated results are:		The calculated results are:

	[[Image:Stress-Strength Example 1 Calculation Results.png\|thumb\|center\|~~400px~~]]		[[Image:Stress-Strength Example 1 Calculation Results.png\|thumb\|center\|250px]]

	The estimated reliability for vehicles less than 15,000 miles per year is 98.84%. The associated confidence bounds are estimated from the variance of the distribution parameters. With larger samples for the stress and strength data, the width of the bounds will be narrower.		The estimated reliability for vehicles less than 15,000 miles per year is 98.84%. The associated confidence bounds are estimated from the variance of the distribution parameters. With larger samples for the stress and strength data, the width of the bounds will be narrower.

Lisa Hacker at 19:08, 30 March 2012

2012-03-30T19:08:33Z

← Older revision		Revision as of 19:08, 30 March 2012
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	[[Image:Stress-Strength Example 1 Strength-Distribution.png\|thumb\|center\|400px]]		[[Image:Stress-Strength Example 1 Strength-Distribution.png\|thumb\|center\|400px]]

	~~Open~~ the Stress-Strength tool and choose to compare the two data sheets. The following picture shows the ''pdf'' curves of the two data sets:		Then we open the Stress-Strength tool and choose to compare the two data sheets. The following picture shows the ''pdf'' curves of the two data sets:

	[[Image:Stress-Strength Example 1 pdf curve.png\|thumb\|center\|400px]]		[[Image:Stress-Strength Example 1 pdf curve.png\|thumb\|center\|400px]]

	Since the warranty is 1 year/15,000 miles, all the vehicles with mileage larger than 15,000 should not be considered in the calculation~~. Therefore, the conditional stress distribution conditioning on the mileage less than 15,000 should be used~~. This is done by using the following settings in the tool:		Since the warranty is 1 year/15,000 miles, all the vehicles with mileage larger than 15,000 should not be considered in the calculation. This is done by using the following settings in the tool:

	[[Image:Stress-Strength Example 1 Calculation Settings.png\|thumb\|center\|400px]]		[[Image:Stress-Strength Example 1 Calculation Settings.png\|thumb\|center\|400px]]

Lisa Hacker at 19:07, 30 March 2012

2012-03-30T19:07:24Z

← Older revision		Revision as of 19:07, 30 March 2012
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	[[Image:Stress-Strength Example 1 Strength-Distribution.png\|thumb\|center\|400px]]		[[Image:Stress-Strength Example 1 Strength-Distribution.png\|thumb\|center\|400px]]

	~~Add one '''~~Stress-Strength~~''' folio~~ and choose the ~~stress and strength distributions:~~		Open the Stress-Strength tool and choose to compare the two data sheets. The following picture shows the ''pdf'' curves of the two data sets:

	~~[[Image:Stress-Strength Example 1 Choose Folios~~.~~png\|thumb\|center\|400px]]~~

	The ~~stress-strength tool~~ shows the ''~~pdfs~~'' of the ~~selected~~ data ~~folios. The ''pdf'' curves are shown next~~:

	[[Image:Stress-Strength Example 1 pdf curve.png\|thumb\|center\|400px]]		[[Image:Stress-Strength Example 1 pdf curve.png\|thumb\|center\|400px]]

Lisa Hacker at 19:04, 30 March 2012

2012-03-30T19:04:56Z

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	\|}		\|}

	<br> This table gives the data for the miles-to-failure distribution (strength.		<br> This table gives the data for the miles-to-failure distribution (strength):

	{\| cellspacing="0" border="1" style="margin: 1em auto;" class="wikitable"		{\| cellspacing="0" border="1" style="margin: 1em auto;" class="wikitable"

Lisa Hacker at 19:04, 30 March 2012

2012-03-30T19:04:40Z

← Older revision		Revision as of 19:04, 30 March 2012
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	'''Stress-Strength Analysis with Parameter Uncertainty'''		'''Stress-Strength Analysis with Parameter Uncertainty'''

	Assume we are going to use stress-strength analysis to estimate the reliability of a component used in a vehicle. The stress is the usage mileage distribution and the strength is the miles-to-failure distribution of the component. The warranty is 1 year or 15,000 miles, whichever is earlier. ~~The~~ table ~~below~~ gives the mileage distribution per year.		Assume we are going to use stress-strength analysis to estimate the reliability of a component used in a vehicle. The stress is the usage mileage distribution and the strength is the miles-to-failure distribution of the component. The warranty is 1 year or 15,000 miles, whichever is earlier. This table gives the data for the mileage distribution per year (stress):

	{\| cellspacing="0" border="1" style="margin: 1em auto;" class="wikitable"		{\| cellspacing="0" border="1" style="margin: 1em auto;" class="wikitable"
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	\|}		\|}

	<br> ~~The next~~ table gives the ~~strength distribution or~~ the failure ~~mileage~~ distribution.		<br> This table gives the data for the miles-to-failure distribution (strength.

	{\| cellspacing="0" border="1" style="margin: 1em auto;" class="wikitable"		{\| cellspacing="0" border="1" style="margin: 1em auto;" class="wikitable"

Lisa Hacker at 19:02, 30 March 2012

2012-03-30T19:02:52Z

← Older revision		Revision as of 19:02, 30 March 2012
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	'''Stress-Strength Analysis with Parameter Uncertainty'''		'''Stress-Strength Analysis with Parameter Uncertainty'''

	Assume we are going to use stress-strength analysis to estimate the reliability of a component used in a vehicle. The stress is the usage mileage distribution and the strength is the failure ~~mileage~~ distribution of the component. The warranty is 1 year or 15,000 miles, whichever is earlier. The table below gives the mileage distribution per year.		Assume we are going to use stress-strength analysis to estimate the reliability of a component used in a vehicle. The stress is the usage mileage distribution and the strength is the miles-to-failure distribution of the component. The warranty is 1 year or 15,000 miles, whichever is earlier. The table below gives the mileage distribution per year.

	{\| cellspacing="0" border="1" style="margin: 1em auto;" class="wikitable"		{\| cellspacing="0" border="1" style="margin: 1em auto;" class="wikitable"

Lisa Hacker at 01:41, 30 March 2012

2012-03-30T01:41:12Z

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Lisa Hacker at 01:34, 30 March 2012

2012-03-30T01:34:35Z

← Older revision		Revision as of 01:34, 30 March 2012
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	{\| border="1" class="wikitable" style="margin: 1em auto 1em auto"		{\| border="1" class="wikitable" style="margin: 1em auto 1em auto"
	\| align="center" style="background:#f0f0f0;"\|'''Stress: ~~Milage~~ Distribution'''		\| align="center" style="background:#f0f0f0;"\|'''Stress: Mileage Distribution'''
	\| align="center" style="background:#f0f0f0;"\|''''''		\| align="center" style="background:#f0f0f0;"\|''''''
	\|-		\|-