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Table 1 Bend angle and absorptivity for various process conditions

From: An integrated FEM-ANN model for laser bending process with inverse estimation of absorptivity

Data No.

Power (W)

Velocity (mm/min)

SD (mm)

Beam Diameter (mm)

A: Average Bend Angle

Experimental study (°)

Coefficient of Variation (%)

B: Bend Angle Numerical simulation (°)

Absolute Error = \( \left|\frac{\left(A-B\times 100\right)}{A}\right| \) (%)

Absorptivity

1

300

1000

20

3.87

1.07

4.11

1.10

2.40

0.63

2

300

1000

30

5.81

0.73

3.14

0.72

0.75

0.67

3

300

1000

40

7.74

0.49

4.6

0.47

3.25

0.72

4

300

1000

50

9.68

0.21

24.86

0.20

3.18

0.725

5

300

2000

20

3.87

0.84

3.96

0.84

0.04

0.72

6

300

2000

30

5.81

0.31

3.77

0.31

1.40

0.74

7

300

2000

40

7.74

0.12

18.09

0.13

4.17

0.8

8

300

2000

50

9.68

0.05

29.31

0.05

3.54

0.875

9

300

3000

20

3.87

0.6

19.31

0.62

3.83

0.83

10

300

3000

30

5.81

0.14

18.62

0.15

4.44

0.84

11

300

3000

40

7.74

0.09

20.56

0.10

4.15

0.95

12

300

3000

50

9.68

a

a

a

a

0.98

13

300

5000

20

3.87

0.26

2.46

0.25

3.35

0.81

14

300

5000

30

5.81

0.16

33.25

0.17

4.87

0.98

15

300

5000

40

7.74

a

a

a

a

0.99

16

300

5000

50

9.68

a

a

a

a

1.0

17

500

1000

20

3.87

0.99

7.31

0.95

4.35

0.825

18

500

1000

30

5.81

0.94

1.44

0.95

0.57

0.8

19

500

1000

40

7.74

0.75

18.69

0.78

4.11

0.6

20

500

1000

50

9.68

0.53

12.94

0.55

4.08

0.54

21

500

2000

20

3.87

1.42

15.45

1.35

4.77

0.52

22

500

2000

30

5.81

1

7.58

0.97

2.54

0.59

23

500

2000

40

7.74

0.72

13.98

0.71

1.24

0.66

24

500

2000

50

9.68

0.4

0.67

0.41

3.30

0.68

25

500

3000

20

3.87

1.27

6.63

1.14

1.91

0.57

26

500

3000

30

5.81

0.84

15.93

0.85

0.74

0.67

27

500

3000

40

7.74

0.34

12.29

0.38

1.10

0.69

28

500

3000

50

9.68

0.14

0

0.14

2.26

0.715

29

500

5000

20

3.87

0.74

11.42

0.74

0.65

0.625

30

500

5000

30

5.81

0.26

22.3

0.34

3.43

0.67

31

500

5000

40

7.74

0.12

19.97

0.12

3.00

0.785

32

500

5000

50

9.68

0.05

33.44

0.05

1.58

0.88

33

700

1000

20

3.87

0.35

4.89

0.34

4.16

0.8

34

700

1000

30

5.81

0.57

12.18

0.56

2.36

0.79

35

700

1000

40

7.74

0.75

3.75

0.72

4.51

0.8

36

700

1000

50

9.68

0.64

17.7

0.67

4.69

0.9

37

700

2000

20

3.87

1.05

6.32

1.02

2.39

0.8

38

700

2000

30

5.81

1.3

13.67

1.33

2.29

0.78

39

700

2000

40

7.74

0.96

5.85

1.00

4.34

0.57

40

700

2000

50

9.68

0.8

18.81

0.78

2.78

0.64

41

700

3000

20

3.87

1.68

2.02

1.61

4.16

0.67

42

700

3000

30

5.81

1.16

9.42

1.18

1.72

0.55

43

700

3000

40

7.74

1.1

16.09

1.05

4.84

0.68

44

700

3000

50

9.68

0.52

28.03

0.52

0.36

0.75

45

700

5000

20

3.87

0.94

30.25

0.92

2.24

0.5

46

700

5000

30

5.81

0.9

5.45

0.89

1.41

0.63

47

700

5000

40

7.74

0.72

6.99

0.73

0.88

0.76

48

700

5000

50

9.68

0.18

15.48

0.18

2.16

0.71

  

Average error =2.77 %

  1. a = insignificant bend angle