Template:Weibull++ Equation Fit Solver Example - Revision history

Kate Racaza: Replaced content with 'Category: For Deletion'

2012-07-23T07:06:26Z

Replaced content with 'Category: For Deletion'

← Older revision		Revision as of 07:06, 23 July 2012
Line 1:		Line 1:
	~~'''Weibull++ Equation Fit Solver Example'''~~		[[Category: For Deletion]]

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

	~~{\| \| border="1" class="wikitable" style="margin: 1em auto 1em auto"~~
	~~\| align="center" style="background:#f0f0f0;"\|'''Time'''~~
	~~\| align="center" style="background:#f0f0f0;"\|'''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>y=a+bx+c\ln (x)</math>~~

	~~where: <br>~~

	*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~~

	~~[[Image: Select Equation Fit Solver.png\|thumb\|center\|400px]]~~

	~~'''Step 2:''' Enter the above data into the folio~~
	[[~~Image: Equation Fit Solver Data.png\|thumb\|center\|400px]]~~


	~~'''Step 3~~:~~''' Enter the user defined degradation function at the control panel and name it “My Degradation Equation”.~~
	~~[[Image: Equation Fit Solver Function.png\|thumb\|center\|400px]]~~


	~~'''Step 4:''' Calculate it and the results are:~~
	~~[[Image: Equation Fit Solver Result.png\|thumb\|center\|400px]]~~


	~~'''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.~~

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


	~~'''Step 6:'' The plot of the fitted model and the observed values are given as:~~
	~~[[Image: Equation Fit Solver Plot.png\|thumb\|center\|400px~~]]

Harry Guo at 17:25, 7 March 2012

2012-03-07T17:25:25Z

← Older revision		Revision as of 17:25, 7 March 2012
Line 38:		Line 38:
	where: <br>		where: <br>

	•* x is the time		*x is the time

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

Harry Guo at 17:25, 7 March 2012

2012-03-07T17:25:07Z

← Older revision		Revision as of 17:25, 7 March 2012
Line 39:		Line 39:

	•* x is the time		•* x is the time

	•* y is the degradation reading.		•* 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.

Harry Guo at 17:24, 7 March 2012

2012-03-07T17:24:48Z

← Older revision		Revision as of 17:24, 7 March 2012
Line 36:		Line 36:
	::<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.

Harry Guo at 17:24, 7 March 2012

2012-03-07T17:24:24Z

← Older revision		Revision as of 17:24, 7 March 2012
Line 32:		Line 32:

	\|}		\|}

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

			[[Image: Select Equation Fit Solver.png\|thumb\|center\|400px]]

			'''Step 2:''' Enter the above data into the folio
			[[Image: Equation Fit Solver Data.png\|thumb\|center\|400px]]


			'''Step 3:''' Enter the user defined degradation function at the control panel and name it “My Degradation Equation”.
			[[Image: Equation Fit Solver Function.png\|thumb\|center\|400px]]


			'''Step 4:''' Calculate it and the results are:
			[[Image: Equation Fit Solver Result.png\|thumb\|center\|400px]]


			'''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.

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


			'''Step 6:'' The plot of the fitted model and the observed values are given as:
			[[Image: Equation Fit Solver Plot.png\|thumb\|center\|400px]]

Harry Guo at 17:19, 7 March 2012

2012-03-07T17:19:25Z

← Older revision		Revision as of 17:19, 7 March 2012
Line 30:		Line 30:
	\|-		\|-
	\| 60\|\|104.00		\| 60\|\|104.00
	\|-
	\|
	\|}		\|}

Harry Guo at 17:19, 7 March 2012

2012-03-07T17:19:10Z

← Older revision		Revision as of 17:19, 7 March 2012
Line 3:		Line 3:
	Equation Fit Solver can be used to do linear and nonlinear regression. Assume an engineer collected the following degradation data.		Equation Fit Solver can be used to do linear and nonlinear regression. Assume an engineer collected the following degradation data.

	Time Reading		{\| \| border="1" class="wikitable" style="margin: 1em auto 1em auto"
	5 8.08		\| align="center" style="background:#f0f0f0;"\|'''Time'''
	10 13.52		\| align="center" style="background:#f0f0f0;"\|'''Reading'''
	15 21.86		\|-
	20 31.96		\| 5\|\|8.08
	25 37.86		\|-
	30 46.67		\| 10\|\|13.52
	35 53.35		\|-
	40 62.29		\| 15\|\|21.86
	45 71.62		\|-
	50 80.37		\| 20\|\|31.96
	55 91.43		\|-
	60 104.00		\| 25\|\|37.86
			\|-
			\| 30\|\|46.67
			\|-
			\| 35\|\|53.35
			\|-
			\| 40\|\|62.29
			\|-
			\| 45\|\|71.62
			\|-
			\| 50\|\|80.37
			\|-
			\| 55\|\|91.43
			\|-
			\| 60\|\|104.00
			\|-
			\|
			\|}

Harry Guo: Created page with ''''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. …'

2012-03-07T17:17:43Z

Created page with ''''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. …'

New page

'''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