doe++ reliasoft presentation project presentation pravin

Determining the significant factors affecting the Bending Load in GMAW

Using 4 Factor multi-level ANOVA and Regression Analysis on Relaisoft DOE++

ME 675Probability and Statistical Methods

M.Tech, Production and Industrial Engineering

Pravin RaiRohit GagraniVibhor Pandhare

PROBLEM STATEMENT In this project, experiments with different parameters of

GMAW process have been performed to obtain the results on the bending load of a weld.

Notation Factor No of Levels Levels Level

Notation Output

A Welding Speed 2

370.5 m/min -1

Bending Load

474.75 m/min +1

B Type of Material 3

Low C Steel -1Medium Carbon Steel 0

Die Steel +1

C Welding Current 3

140 A -1150 A 0160 A +1

D Welding Voltage 3

20 V -125 V 030 V +1

Welding Speed Type of Material

Welding current

Welding Voltage

Bending Load

Welding Speed Type of Material

Welding current

Welding Voltage

Bending Load

370.5 Low C Steel 140 20 1.2 474.75 Low C Steel 140 20 1.6370.5 Low C Steel 140 25 8.8 474.75 Low C Steel 140 25 2.6370.5 Low C Steel 140 30 9.5 474.75 Low C Steel 140 30 10.6370.5 Low C Steel 150 20 1 474.75 Low C Steel 150 20 1.2370.5 Low C Steel 150 25 10 474.75 Low C Steel 150 25 4.9370.5 Low C Steel 150 30 10.6 474.75 Low C Steel 150 30 8370.5 Low C Steel 160 20 0.8 474.75 Low C Steel 160 20 1370.5 Low C Steel 160 25 9.1 474.75 Low C Steel 160 25 1.1370.5 Low C Steel 160 30 11 474.75 Low C Steel 160 30 9.2370.5 Medium C Steel 140 20 1.1 474.75 Medium C Steel 140 20 1370.5 Medium C Steel 140 25 8.8 474.75 Medium C Steel 140 25 6.9370.5 Medium C Steel 140 30 7.5 474.75 Medium C Steel 140 30 12.9370.5 Medium C Steel 150 20 2.2 474.75 Medium C Steel 150 20 1.4370.5 Medium C Steel 150 25 15.5 474.75 Medium C Steel 150 25 7.6370.5 Medium C Steel 150 30 9 474.75 Medium C Steel 150 30 13.2370.5 Medium C Steel 160 20 2.8 474.75 Medium C Steel 160 20 2370.5 Medium C Steel 160 25 9.1 474.75 Medium C Steel 160 25 6.9370.5 Medium C Steel 160 30 10.1 474.75 Medium C Steel 160 30 16370.5 Die Steel 140 20 1.9 474.75 Die Steel 140 20 1.6370.5 Die Steel 140 25 8.6 474.75 Die Steel 140 25 10370.5 Die Steel 140 30 8.4 474.75 Die Steel 140 30 7.4370.5 Die Steel 150 20 2 474.75 Die Steel 150 20 2370.5 Die Steel 150 25 3.3 474.75 Die Steel 150 25 4370.5 Die Steel 150 30 7.2 474.75 Die Steel 150 30 9.4370.5 Die Steel 160 20 2.8 474.75 Die Steel 160 20 3370.5 Die Steel 160 25 9.2 474.75 Die Steel 160 25 6370.5 Die Steel 160 30 3 474.75 Die Steel 160 30 7

DATA

• Pareto chart of effects-In these graph, the ANOVA effect estimates are sorted from the largest absolute value to the smallest absolute value. The magnitude of each effect is represented by a column, and often, a line going across the columns indicates how large an effect has to be (i.e., how long a column must be) to be statistically significant.

• Normal probability plot of effects-In the normal probability plot, first the effect estimates are rank ordered, and then a normal z score is computed based on the assumption that the estimates are normally distributed. This z score is plotted on the y-axis; the observed estimates are plotted on the x-axis.

• Interaction plot–A general graph for showing the means is the standard interaction plot, where the means are indicated by points connected by lines. This plot is particularly useful when there are significant interaction effects in the model.

•Scatter plot-In this, the data is displayed as a collection of points, each having the value of one variable determining the position on the horizontal axis and the value of the other variable determining the position on the vertical axis.

TECHNICAL TERMS

RESULTSANOVA Table

Source of Variation

Degrees of Freedom

Sum of Squares [Partial]

Mean Squares [Partial]

F Ratio P Value

Model 25 743.9803 29.7592 4.7971 5.42E-05 Main Effects 5 589.4244 117.8849 19.0028 3.14E-08 2-Way Interactions 9 83.2545 9.2505 1.4912 0.1996 3-Way Interactions 7 29.7031 4.2433 0.684 0.6844 4-Way Interactions 2 3.2475 1.6238 0.2617 0.7716 Quadratic Effects 2 38.3508 19.1754 3.091 0.0612

Total 53 917.68 Risk level, α = 0.1

S = 2.4907R-sq = 81.07%

R-sq(adj) = 64.17%

Significant TermsName P ValueB[2] 0.0126

D:Welding Voltage 4.37E-10A • B[1] 0.0666D • D 0.0194

Regression Analysis

Regression Statistics

Multiple R 0.766947948

R Square 0.588209155

Adjusted R Square 0.580290101

Standard Error 2.695766703

Observations 54


Multiple R 0.76752317

R Square 0.589091816



Observations 54


Multiple R 0.76695

R Square 0.588212



Observations 54

Only Welding Voltage

and Bending

Load

Welding voltage and

type of material

And Bending Load

Welding voltage and

welding current and

Bending Load

Regression StatisticsMultiple R 0.770883R Square 0.594261



Observations 54

Δ = 0.033122 Δ = 0.007919054 Δ = 0.016114046 Δ = 0.016149

All Factors and

Interactions and Bending

Load

Confidence Level = 90%

Pravin RaiRohit GagraniVibhor Pandhare

ME 675Probability and Statistical Methods

M.Tech, Production and Industrial Engineering

doe++ reliasoft presentation project presentation pravin

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