Template:Weibull++ Equation Fit Solver Example: Difference between revisions

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::<math>y=a+bx+c\ln (x)</math>
::<math>y=a+bx+c\ln (x)</math>


where:  
where: <br>
• x is the time  
 
• y is the degradation reading.
* x is the time  
* y is the degradation reading.
 
This above model is not a standard degradation model in Webul++. It can be solved using the equation fit solver.  
This above model is not a standard degradation model in Webul++. It can be solved using the equation fit solver.  



Revision as of 17:24, 7 March 2012

Weibull++ Equation Fit Solver Example

Equation Fit Solver can be used to do linear and nonlinear regression. Assume an engineer collected the following degradation data.

Time Reading
5 8.08
10 13.52
15 21.86
20 31.96
25 37.86
30 46.67
35 53.35
40 62.29
45 71.62
50 80.37
55 91.43
60 104.00

From the physical mechanism, the engineer knows the degradation path follows the following equation:

[math]\displaystyle{ y=a+bx+c\ln (x) }[/math]

where:

•* x is the time •* y is the degradation reading.

This above model is not a standard degradation model in Webul++. It can be solved using the equation fit solver.


Solution:

Step 1: Create an Equation Fit Solver Folio

Select Equation Fit Solver.png

Step 2: Enter the above data into the folio

Equation Fit Solver Data.png


Step 3: Enter the user defined degradation function at the control panel and name it “My Degradation Equation”.

Equation Fit Solver Function.png


Step 4: Calculate it and the results are:

Equation Fit Solver Result.png


Step 5: You can use the “Calculate Y given X” to make prediction. For example, the predicted Y value at X=100 is 176.2424.

Equation Fit Solver Prediction.png


'Step 6: The plot of the fitted model and the observed values are given as:

Equation Fit Solver Plot.png