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Finite element analysis of springback in L-bending of sheet metal

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Presentation on theme: "Finite element analysis of springback in L-bending of sheet metal"— Presentation transcript:

1 Finite element analysis of springback in L-bending of sheet metal
Y.E. Ling H.P. Lee B.T. Cheok 7 February 2007 A Presentation by: Rose Wieland

2 Overview Introduction Set up Effects of Die Clearance
Effects of Step Size Conclusion/Recommendations

3 Introduction Increasing demand for tight tolerances
Springback is biggest problem to tolerances FEM models allow for effect of die clearance, die radii, and step size to be analyzed Idea of how to minimize springback

4

5 History 1958 – first mathematical model for springback corrections
1991/1992 – FEM models used to analyze springback Never in the paper is the accuracy of FEM models versus real experimental data discussed!

6 FEM Model Die, punch, and pressure pad rigid
Workpiece is a deformable mesh Die step height, step distance, die clearance, and die radii varied Material used : AL2024-T3

7 Effects of Die Clearance

8 Bend Leg analysis Bend leg curves between clearances of 1t and 0.8 t with maximum between 0.9 t and 0.95 t Otherwise, bend leg remains strait

9 Stress Analysis

10 Effects of Die Radius K = springback factor
A = bend angle after springback A1= bend angle during bending Springback factor of 1 most desirable

11 Effects of Step Height and Distance

12 Design Recommendations
Die radius, clearance, and step height and distance all effect springback Die radius and clearance have greatest effect Effects are exclusive and additive i.e. die radius = 2.0t die clearance = 0.75t; step height = 0.2t step distance = 0t. springback reduction for die radius 2.0t and die clearance 0.75t is 1.37◦ springback reduction for using a step height of 0.2t and step distance 0t at that die radius and clearance is 1.08◦ The total springback reduction is 1.37◦ ◦ = 2.45◦ (values from Table 2 and Table 3)

13 Beware bend leg elongation

14 Accounting for Elongation
Radius most important factor to elongation Bend leg elongation only happens at clearance less than the thickness Step height and step distance do not alter bend allowances significantly

15 Conclusion Established trends for effect of die clearance, die radius, step height and distance Need for research with other materials This research took hours Perhaps small samples of other materials could be tested to show trends

16 References [1] A.G. Gardiner, The spring back of metals, Trans. ASME, J. Appl.Mech. 79 (1957) 1–9. [2] W. Johnson, T.X. Yu, Springback after the biaxial elastic-plastic pure bending of a rectangular plate – I, Int. J. Mech. Sci. 23 (10) (1981)619–630. [3] W. Johnson, T.X. Yu, On the range of applicability of results forthe springback of an elastic/perfectly plastic rectangular plate aftersubjecting it to biaxial pure bending – II, Int. J. Mech. Sci. 23 (10)(1981) 631–637. [4] R.A. Ayres, SHAPESET: a process to reduce sidewall curl springbackin high-strength steel rails, J. Appl. Metalworking 3 (2) (1984)127–172. [5] C. Wang, G. Kinzel, T. Altan, Mathematical modeling of planestrainbending of sheet and plate, J. Mater. Proc. Tech. 39 (3/4)(1993) 279–304. [6] Y.K.D.V. Prasad, S. Somasundaram, Mathematical model for bendallowance calculation in automated sheet-metal bending, J. Mater. Proc. Tech. 39 (3/4) (1993) 337–356.[7] D.K. Leu, A simplified approach for evaluating bendability andspringback in plastic bending of anisotropic sheet metals, J. Mater.Proc. Tech. 66 (1997) 9–17. [8] J.C. Nagtegaal, L.M. Taylor, Comparison of implicit and explicitfinite element methods for analysis of sheet forming problems FESimulationof 3-D Sheet Metal Forming Processes in AutomotiveIndustry, 894, VDI, Berichte, 1991, pp. 705–725. [9] A.P. Karafillis, M.C. Boyce, Tooling design in sheet metal formingusing springback calculations, J. Mech. Sci. 34 (1992) 113–131. [10] H.B. Sim, M.C. Boyce, Finite element analyses of real time stabilitycontrol in sheet metal forming processes, ASME J. Eng. Mater.Technol. 114 (1992) 80–188. [11] M.J. Finn, P.C. Galbraith, L. Wu, J.O. Hallquist, L. Lum, T.L. Lin,Use of a Coupled Explicit–Implicit Solver for Calculating SpringBack in Automotive Body Panels, Livermore Software TechnologyCorporation, Livermore, CA, 1992. [12] L. Wu, C. Du amd, L. Zhang, Iterative FEM Die surface designto compensate for springback in sheetmetal stampings, in:Proceedings of NUMIFORM ’95, Ithaca, NY, 1995, pp. 637–641.[13] A.P. Karafillis, M.C. Boyce, Tooling and binder design for sheetmetal forming processes compensating springback error, Int. J. Mach.Tools Manuf. 36 (4) (1996) 503–526. [14] M. Sunseri, J. Cao, A.P. Karafillis, M.C. Boyce, Accommodation ofspringback error in channel forming using active binder force control:numerical simulations and experiments, ASME J. Eng. Mater.Technol. 118 (1996) 426–434. [15] Y. Ming, K. Manabe, H. Nishimura, Development of an intelligenttool system for flexible L-bending process of metal sheets, SmartMater. Struct. 7 (4) (1998) 530–536. [16] I.N. Chou, C. Hung, Finite element analysis and optimization onspringback reduction, Int. J. Mach. Tools Manuf. 39 (3) (1999)517–536. [17] M. Samuel, Experimental and numerical prediction of springbackand side wall curl in U-bending of anisotropic sheet metals, J. Mater.Proc. Tech 105 (3) (2000) 382–393. [18] N. Narkeeran, M. Lovell, Predicting springback in sheet metal forming:an explicit to implicit sequential solution procedure, Finite Elements,Anal. Des. 33 (1) (1999) 29–42. [19] Baumeister, Avallone, Mark’s Standard Handbook For MechanicalEngineers, 8th ed., McGraw-Hill, 1979. [20] G. Sachs, Principles and Methods of Sheet Metal Fabricating, 2nded., Reinhold Publishing Corporation, New York, 1966.


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