Template:Example: Stress-Strength Analysis with Parameter Uncertainty: Difference between revisions

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'''Stress-Strength Analysis with Parameter Uncertainty'''
#REDIRECT [[Stress-Strength_Analysis_in_Design_for_Reliability]]
 
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 milage distribution and the strength is the failure mile distribution of the component. The warranty is 1 year and 15,000 miles, which is earlier. The milage distribution per year is given the table below.
 
{| border="1" class="wikitable" style="margin: 1em auto 1em auto"
| align="center" style="background:#f0f0f0;"|'''Stress: Milage Distribution'''
| align="center" style="background:#f0f0f0;"|''''''
|-
| 10096||12405
|-
| 10469||12527
|-
| 10955||12536
|-
| 11183||12595
|-
| 11391||12657
|-
| 11486||13777
|-
| 11534||13862
|-
| 11919||13971
|-
| 12105||14032
|-
| 12141||14138
|-
|
|}
 
 
The strength distribution or the failure mile distribution is given in the next table:
 
{|border="1" class="wikitable" style="margin: 1em auto 1em auto"
| align="center" style="background:#f0f0f0;"|'''Strength: Failure Distribution'''
| align="center" style="background:#f0f0f0;"|''''''
|-
| 13507||16125
|-
| 13793||16320
|-
| 13943||16327
|-
| 14017||16349
|-
| 14147||16406
|-
| 14351||16501
|-
| 14376||16611
|-
| 14595||16625
|-
| 14746||16670
|-
| 14810||16749
|-
| 14940||16793
|-
| 14951||16862
|-
| 15104||16930
|-
| 15218||16948
|-
| 15303||17024
|-
| 15311||17041
|-
| 15480||17263
|-
| 15496||17347
|-
| 15522||17430
|-
| 15547||17805
|-
| 15570||17884
|-
| 15975||18549
|-
| 16003||18575
|-
| 16018||18813
|-
| 16052||18944
|-
|
|}
 
Please estimate the reliability of the component within the warranty period (1 year/15,000 miles).
 
 
'''Solution'''
 
First, we need to estimate the stress and strength distribution using the above data. The estimated stress distribution is given in the figure below.
 
[[Image: Stress-Strength Example 1 Stress-Distribution.png|thumb|center|400px]]
 
The estimated strength distribution is given as:
 
[[Image: Stress-Strength Example 1 Strength-Distribution.png|thumb|center|400px]]
 
Add one '''Stress-Strength" Folio and choose the stress and strength distribution:
 
[[Image: Stress-Strength Example 1 Choose Folios.png|thumb|center|400px]]
 
The stress-strength tool shows the ''pdf'' of the selected data folio. The ''pdf'' cuvers are given in the below figure:
 
[[Image: Stress-Strength Example 1 pdf curve.png|thumb|center|400px]]

Latest revision as of 06:44, 15 August 2012