Abstract
This paper describes the development of regression based mathematical models for the prediction of springback in air bending process of interstitial free (IF) steel sheet. Punch travel (d), strain hardening exponent (n), punch radius (r p), punch velocity (v p) and width of the sheet (w) have been considered as input parameters and springback as output parameter to develop the model. Based on experimental results, various regression models namely, linear, linear-square, linear-interaction and quadratic terms for the springback prediction were developed for IF steel sheets. It is found that, the results obtained from the quadratic model are accurate in prediction of springback than others.
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Abbreviations
- Y Dry :
-
Springback for dry conditions in degrees
- r p :
-
Punch radius in mm
- d :
-
Punch travel in mm
- n :
-
Strain hardening exponent
- v p :
-
Punch velocity in mm/s
- w :
-
Width of the sheet in mm
- θ s :
-
Springback angle (θ 1 − θ 2) in degrees
- θ 1 :
-
Bending angle before springback in degrees
- θ 2 :
-
Desired bending angle after springback in degrees
- \({\mathop Y\limits^\wedge}\) :
-
Estimated value
- β i :
-
Regression coefficient of ith independent variable
- β ij :
-
Regression coefficient of interaction of ith independent variable
- x i :
-
ith independent variable
- ε :
-
An error component
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Narayanasamy, R., Padmanabhan, P. Modeling of springback on air bending process of interstitial free steel sheet using multiple regression analysis. Int J Interact Des Manuf 3, 25–33 (2009). https://doi.org/10.1007/s12008-009-0059-7
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DOI: https://doi.org/10.1007/s12008-009-0059-7