Weibull++ Equation Fit Solver Example: Difference between revisions

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'''Step 1:''' Insert an Equation Fit Solver folio in your project and enter the given data in the folio, as shown next.
'''Step 1:''' Insert an Equation Fit Solver folio in your project and enter the given data in the folio, as shown next.


[[Image: Equation Fit Solver Data.png|thumb|center|500px]]
[[Image: Equation Fit Solver Data.png|center|500px]]




'''Step 2:''' Enter the degradation equation in the control panel and name it “My Degradation Equation,” as shown next.
'''Step 2:''' Enter the degradation equation in the control panel and name it “My Degradation Equation,” as shown next.
[[Image: Equation Fit Solver Function.png|thumb|center|400px]]
[[Image: Equation Fit Solver Function.png|center|250px]]




'''Step 3:''' Click '''Calculate'''. The following picture shows the results.
'''Step 3:''' Click '''Calculate'''. The following picture shows the results.
[[Image: Equation Fit Solver Result.png|thumb|center|500px]]
[[Image: Equation Fit Solver Result.png|center|500px]]




'''Step 4:''' You can use the '''Calculate Y given X''' area on the control panel to make predictions. For example, the predicted Y value at X=100 is 176.2424.
'''Step 4:''' You can use the '''Calculate Y given X''' area on the control panel to make predictions. For example, the predicted Y value at X=100 is 176.2424.


[[Image: Equation Fit Solver Prediction.png|thumb|center|400px]]
[[Image: Equation Fit Solver Prediction.png|center|200px]]




'''Step 5:''' The following plot shows the fitted model and the observed values.
'''Step 5:''' The following plot shows the fitted model and the observed values.
[[Image: Equation Fit Solver Plot.png|thumb|center|500px]]
[[Image: Equation Fit Solver Plot.png|center|500px]]

Revision as of 07:21, 6 August 2012

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Weibull++ Equation Fit Solver Example

The Equation Fit Solver can be used to perform linear and nonlinear regression. For example, assume that 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 that 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 model is not a standard degradation model in Weibull++; however, the problem can be solved by using the Equation Fit Solver.


Solution:

Step 1: Insert an Equation Fit Solver folio in your project and enter the given data in the folio, as shown next.

Equation Fit Solver Data.png


Step 2: Enter the degradation equation in the control panel and name it “My Degradation Equation,” as shown next.

Equation Fit Solver Function.png


Step 3: Click Calculate. The following picture shows the results.

Equation Fit Solver Result.png


Step 4: You can use the Calculate Y given X area on the control panel to make predictions. For example, the predicted Y value at X=100 is 176.2424.

Equation Fit Solver Prediction.png


Step 5: The following plot shows the fitted model and the observed values.

Equation Fit Solver Plot.png