ALTA Test Plan Example: Difference between revisions
Chris Kahn (talk | contribs) No edit summary |
Kate Racaza (talk | contribs) (updated banner) |
||
| Line 1: | Line 1: | ||
{ | <noinclude>{{Banner_ALTA_Examples}} | ||
</noinclude>A reliability engineer is planning an accelerated test for a mechanical component. Torque is the only factor in the test. The purpose of the experiment is to estimate the <math>B10</math> life (time equivalent to unreliability = 0.1) of the diodes. The reliability engineer wants to use a Two Level Statistically Optimum Plan because it would require fewer test chambers than a three level test plan. 40 units are available for the test. The mechanical component is assumed to follow a Weibull distribution with <math>\beta =3.5</math> and a Power model is assumed for the life-stress relationship. The test is planned to last for 10,000 cycles. The engineer has estimated that there is a 0.06% probability that a unit will fail by 10,000 cycles at the use stress level of 60Nm. The highest level allowed in the test is 120Nm and a unit is estimated to fail with a probability of 99.999% at 120Nm. The following setup shows the test plan in ALTA. | |||
< | |||
A reliability engineer is planning an accelerated test for a mechanical component. Torque is the only factor in the test. The purpose of the experiment is to estimate the <math>B10</math> life ( | |||
<br> | <br> | ||
[[Image:1testplan.png | [[Image:1testplan.png|center|550px|Test plan setup for a single stress test.]] | ||
<br> | <br> | ||
<br> | <br> | ||
The Two Level Statistically Optimum Plan is shown next. | The Two Level Statistically Optimum Plan is shown next. | ||
<br> | <br> | ||
[[Image:tpr.png | [[Image:tpr.png|center|550px|The Two level Statistically Optimum Plan]] | ||
<br> | <br> | ||
The Two Level Statistically Optimum Plan is to test 28.24 units at 95.39Nm and 11.76 units at 120Nm. The variance of the test at <math>B10</math> is <math>Var({{T}_{p}}=B10)=StdDev{{({{T}_{p}}=B10)}^{2}}={{14380}^{2}}.</math> | The Two Level Statistically Optimum Plan is to test 28.24 units at 95.39Nm and 11.76 units at 120Nm. The variance of the test at <math>B10</math> is <math>Var({{T}_{p}}=B10)=StdDev{{({{T}_{p}}=B10)}^{2}}={{14380}^{2}}.</math> | ||
<br> | <br> | ||
<br> | <br> | ||
Now assume that a 90% confidence is desired and 40 units are to be used in the test | Now assume that a 90% confidence is desired and 40 units are to be used in the test. The bounds ratio is calculated as 2.946345, as shown next. | ||
<br> | <br> | ||
[[Image:ALTA13.13.gif | [[Image:ALTA13.13.gif|center|300px|Evaluating the test plan using a bounds ratio criterion.]] | ||
<br> | <br> | ||
| Line 26: | Line 22: | ||
<br> | <br> | ||
[[Image:ALTA13.14.gif | [[Image:ALTA13.14.gif|center|300px|Evaluation the test plan using a sample size criterion.]] | ||
<br> | <br> | ||
| Line 32: | Line 28: | ||
<br> | <br> | ||
[[Image:ALTA13.15.gif | [[Image:ALTA13.15.gif|center|300px|Evaluating the test plan using a confidence level criterion.]] | ||
[[Category: Completed Theoretical Review]] | [[Category: Completed Theoretical Review]] | ||
Revision as of 03:13, 2 August 2012
 |
New format available! This reference is now available in a new format that offers faster page load, improved display for calculations and images and more targeted search.
As of January 2024, this Reliawiki page will not continue to be updated. Please update all links and bookmarks to the latest references at ALTA examples and ALTA reference examples.
A reliability engineer is planning an accelerated test for a mechanical component. Torque is the only factor in the test. The purpose of the experiment is to estimate the [math]\displaystyle{ B10 }[/math] life (time equivalent to unreliability = 0.1) of the diodes. The reliability engineer wants to use a Two Level Statistically Optimum Plan because it would require fewer test chambers than a three level test plan. 40 units are available for the test. The mechanical component is assumed to follow a Weibull distribution with [math]\displaystyle{ \beta =3.5 }[/math] and a Power model is assumed for the life-stress relationship. The test is planned to last for 10,000 cycles. The engineer has estimated that there is a 0.06% probability that a unit will fail by 10,000 cycles at the use stress level of 60Nm. The highest level allowed in the test is 120Nm and a unit is estimated to fail with a probability of 99.999% at 120Nm. The following setup shows the test plan in ALTA.
The Two Level Statistically Optimum Plan is shown next.
The Two Level Statistically Optimum Plan is to test 28.24 units at 95.39Nm and 11.76 units at 120Nm. The variance of the test at [math]\displaystyle{ B10 }[/math] is [math]\displaystyle{ Var({{T}_{p}}=B10)=StdDev{{({{T}_{p}}=B10)}^{2}}={{14380}^{2}}. }[/math]
Now assume that a 90% confidence is desired and 40 units are to be used in the test. The bounds ratio is calculated as 2.946345, as shown next.
If this calculated bounds ratio is unsatisfactory, the analyst can calculate the required number of units that would meet a certain bounds ratio criterion. For example, if a bounds ratio of 2 is desired, the required sample size is calculated as 97.210033, as shown next.
If the sample size is kept at 40 units and a bounds ratio of 2 is desired, the equivalent confidence level we have in the test drops to 70.8629%, as shown next.
