Numerical product design: Springback prediction, compensation and optimization

International Journal of Machine Tools and Manufacture

Volumn 48, Issue 5, 2008, Pages 499-514

  Meinders, T ^a   Burchitz, I A ^a,b   Bonte, M H A ^a   Lingbeek, R A ^a,b,c  

^a UNIVERSITY OF TWENTE   (Netherlands)

^b NETHERLANDS INSTITUTE FOR METALS RESEARCH   (Netherlands)

^c INPRO Innovationsgesellschaft fur Fortgeschrittene Produktionssysteme in der Fahrzeugindustrie MbH   (Germany)

Author keywords

Compensation; Metal forming; Optimization; Springback

Indexed keywords

COMPUTER AIDED DESIGN; COMPUTER SIMULATION; FINITE ELEMENT METHOD; METAL FORMING; OPTIMIZATION; SPRINGS (COMPONENTS);

COMPENSATION; INDUSTRIAL AUTOMOTIVE PARTS; NUMERICAL TOOLS; ROBUST METALS; SPRINGBACK; SPRINGBACK PREDICTION;

PRODUCT DESIGN;

EID: 38849169759     PISSN: 08906955     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmachtools.2007.08.006     Document Type: Article

References (90)

1. Cleveland R.M., and Ghosh A.K. Inelastic effects on springback in metals. International Journal of Plasticity 18 5-6 (2002) 769-785
2. Li K., Carden W., and Wagoner R. Simulation of springback. International Journal of Mechanical Sciences 44 1 (2002) 103-122
3. Meinders T., Konter A., Meijers S.-E., Atzema E.-H., and Kappert H. A sensitivity analysis on the springback behavior of the unconstrained bending problem. International Journal of Forming Processes 9 3 (2006) 365-402
4. Park D.-W., and Oh S.-I. A four-node shell element with enhanced bending performance for springback analysis. Computer Methods in Applied Mechanics and Engineering 193 23-26 (2004) 2105-2138
5. Li J., Geng L., and Wagoner R. Simulation of springback: Choice of element. In: Geiger M. (Ed). Proceedings of Advanced Technology of Plasticity vol. 3 (1999), Springer, Nuremberg, Germany 2091-2099
6. Numisheet benchmark, in: A. Makinouchi, et al. (Eds.), Proceedings of NUMISHEET, Isehara, Japan, 1993.
7. Harn W.-R., and Belytschko T. Adaptive multi-point quadrature for elastic-plastic shell elements. Finite Elements in Analysis and Design 30 4 (1998) 253
8. Wagoner R.H., and Li M. Advances in springback. In: Smith L., Pourboghrat F., Yoon J., and Stoughton T. (Eds). Proceedings of NUMISHEET, vol. Part A. Detroit, MI, USA (2005) 209-214
9. Rice R.J. A metalgorithm for adaptive quadrature. Journal of the ACM 22 1 (1975) 61-82
10. H. Armen, A. Pifko, H. Levine, Finite element analysis of structures in the plastic range, Contractor Report NASA CR-1649, Grumman Aerospace Corporation, 1971.
11. Davis P., and Rabinowitz P. Methods of numerical Integration. second ed. (1985), Academic Press, New York
12. L. Smith, Springback compensation, in: L. Smith, et al. (Eds.), Proceedings of NUMISHEET, AIP (Chapter 5).
13. Gan W., and Wagoner R.H. Die design method for sheet springback. International Journal of Mechanical Science 46 (2004) 1097-1113
14. Gan W., Wagoner R., Mao K., Price S., and Rasouli F. Practical design methods using fe modeling applied to sheet parts and dies. Journal of Material Processing and Technology 126 (2004) 360-367
15. Wagoner R. Fundamental aspects of springback in sheet metal forming. In: Brucato V. (Ed). Proceedings of ESAFORM (2003) 7-14
16. Lingbeek R., Meinders T., Ohnimus S., Petzoldt M., and Weiher J. Springback compensation: fundamental topics and practical application. In: Juster N., and Rosochowski A. (Eds). Proceedings of ESAFORM (2006) 403-406
17. Lingbeek R., Huétink H., Ohnimus S., Petzoldt M., and Weiher J. The development of a finite elements based springback compensation tool for sheet metal products. Journal of Materials Processing and Technology 169 (2005) 115-125
18. R. Lingbeek, F. van Houten, Modification of trimmed and imperfect surfaces while retaining smooth surface transitions, CAD, 2006, submitted for publication.
19. Papalambros P., and Wilde D. Principles of Optimal Design (2000), Cambridge University Press, New York, USA ISBN 0-521-62727
20. Cao J., Li S., Xia Z., and Tang S. Analysis of an axisymmetric deep-drawn part forming using reduced forming steps. Journal of Materials Processing Technology 117 1-2 (2001) 193-200
21. Debray K., Sun Z., Radjai R., Guo Y., Dai L., and Gu Y. Optimum design of addendum surfaces in sheet metal forming process. Proceedings of NUMIFORM. Columbus, OH, USA (2004)
22. Kim N., Choi K., and Chen J. Die shape design optimization of sheet metal stamping process using meshfree method. International Journal for Numerical Methods in Engineering 51 (2001) 1385-1405
23. J. Kleinermann, Identification paramétrique et optimisation des procédés de mise à forme par problèmes inverses, Ph.D. thesis, Université de Liège, Liège, Belgium, 2001, (in French).
24. Kleinermann J., and Ponthot J. Parameter identification and shape/process optimization in metal forming simulation. Journal of Materials Processing Technology 139 1-3 (2003) 521-526
25. Ponthot J., and Kleinermann J. Optimisation methods for initial/tool shape optimisation in metal forming processes. International Journal of Vehicle Design 39 1-2 (2005) 14-24
26. Naceur H., Guo Y., Batoz J., and Knopf-Lenoir C. Optimization of drawbead restraining forces and drawbead design in sheet metal forming process. International Journal of Mechanical Sciences 43 10 (2001) 2407-2434
27. Naceur H., Delamézière A., Batoz J., Guo Y., and Knopf-Lenoir C. Optimization of drawbead restraining forces and drawbead design in sheet metal forming process. Journal of Materials Processing Technology 146 (2004) 250-262
28. Lin Z., Juchen X., Xinyun W., and Guoan H. Sensitivity based optimization of sheet metal forming tools. Journal of Materials Processing Technology 124 3 (2002) 319-328
29. Shi X., Chen J., Peng Y., and Ruan X. A new approach of die shape optimization for sheet metal forming processes. Journal of Materials Processing Technology 152 (2004) 35-42
30. Ben Ayed L., Delamézière A., Batoz J., and Knopf-Lenoir C. Optimization and control of the blankholder force in sheet metal stamping with application to deep drawing of a cylindrical cup. Proceedings of ECCOMAS. Jyväskylä, Finland (2004)
31. Ben Ayed L., Delamézière A., Batoz J., and Knopf-Lenoir C. Optimization of the blankholder force with application to the numisheet'02 deep drawing benchmark test b1. Proceedings of NUMIFORM. Columbus, OH, USA (2004)
32. Ben Ayed L., Delamézière A., Batoz J., and Knopf-Lenoir C. Optimization of the blankholder force distribution in deep drawing. Proceedings of APOMAT. Morschach, Switzerland (2005)
33. Breitkopf P., Naceur H., Rassineux A., and Villon P. Moving least squares response surface approximation: formulation and metal forming applications. Computers and Structures 83 17-18 (2005) 1411-1428
34. Naceur H., Breitkopf P., Knopf-Lenoir C., Rassineux A., and Villon P. Response surface methods for the optimal design of the initial blank in sheet metal forming process. Proceedings of ESAFORM. Salerno, Italy (2003)
35. T. Jansson, Optimization of sheet metal forming processes, Licentiate thesis, Universitet Linköping, Linköping, Sweden 2002.
36. Jansson T., Andersson A., and Nilsson L. Optimization of draw-in for an automotive sheet metal part-an evaluation using surrogate models and response surfaces. Journal of Materials Processing Technology 159 (2005) 234-426
37. Lenoir H., and Boudeau N. An optimization procedure for springback compensation. Proceedings of ESAFORM. Salerno, Italy (2003)
38. Liew K., Tan H., Ray T., and Tan M. Optimal process design of sheet metal forming for minimum springback via an integrated neural network evolutionary algorithm. Structural and Multidisciplinary Optimization 26 (2004) 284-294
39. Naceur H., Ben-Elechi S., Knopf-Lenoir C., and Batoz J. Response surface methodology for the design of sheet metal forming parameters to control springback effects using the inverse approach. Proceedings of NUMIFORM. Columbus, OH, USA (2004)
40. Naceur H., Ben-Elechi S., and Batoz J. The inverse approach for the design of sheet metal forming parameters to control springback effects. Proceedings of ECCOMAS. Jyväskylä, Finland (2004)
41. Sheng Z., Jirathearanat S., and Altan T. Adaptive FEM simulation for prediction of variable blank holder force in conical cup drawing. International Journal of Machine Tools and Manufacture 44 (2004) 487-494
42. Strano M., and Carrino L. Adaptive selection of loads during FEM simulation of sheet forming processes. Proceedings of NUMIFORM. Columbus OH, USA (2004)
43. Schenk O., and Hillmann M. Optimal design of metal forming die surfaces with evolution strategies. Computers and Structures 82 (2004) 1695-1705
44. B. Endelt, Least square optimization techniques applied on sheet metal forming, Ph.D. Thesis, Aalborg University, Aalborg, Denmark 2003.
45. Endelt B., and Nielsen K. Least-square formulation of the object function, applied on hydro mechanical tube forming. Proceedings of SheMet (2001)
46. Fann K., and Hsiao P. Optimization of loading conditions for tube hydroforming. Journal of Materials Processing Technology 140 1-3 (2003) 520-524
47. Jirathearanat S., and Altan T. Optimization of loading paths for tube hydroforming. Proceedings of NUMIFORM. Columbus, OH, USA (2004)
48. Sillekens W., and Werkhoven R. Hydroforming processes for tubular parts: optimisation by means of adaptive and iterative FEM simulation. International Journal of Forming Processes 4 3-4 (2001) 377-393
49. Yang J., Jeon B., and Oh S. Design sensitivity analysis and optimization of the hydroforming process. Journal of Materials Processing Technology 113 (2001) 666-672
50. Labergère C., and Gelin J. Comparison between optimization and control strategies to determine command laws in hydroforming processes. Proceedings of ESAFORM. Trondheim, Norway (2004)
51. Labergère C., and Gelin J. New strategies for optimal control of command laws for tube hydroforming processes. Proceedings of NUMIFORM. Columbus, OH, USA (2004)
52. Aydemir A., de Vree J., Brekelmans W., Geers M., Sillekens W., and Werkhoven R. An adaptive simulation approach design for tube hydroforming processes. Journal of Materials Processing Technology 159 (2005) 303-310
53. Di Lorenzo R., Filice L., Umbrello D., and Micari F. An integrated approach to the design of tube hydroforming processes. artificial intelligence, numerical analysis and experimental investigation. Proceedings of NUMIFORM. Columbus, OH, USA (2004)
54. Johnson K., Nguyen B., Dawies R., Grant G., and Khaleel M. A numerical process control method for circular-tube hydroforming prediction. International Journal of Plasticity 20 (2004) 1111-1137
55. Ray P., and Mac Donald B. Determination of the optimal load path for tube hydroforming processes using a fuzzy load control algorithm and finite element analysis. Finite Elements in Analysis and Design 41 (2004) 173-192
56. Abedrabbo N., Zafar N., Averill R., Pourboghrat F., and Sidhu R. Optimization of a tube hydroforming process. Proceedings of NUMIFORM. Columbus, OH, USA (2004)
57. Weyler R., Neamtu L., and Duffett G. An approach to the computer simulation of metal forming processes. Proceedings of ECCOMAS. Jyväskylä, Finland (2004)
58. Kim Y., Lee J., and Hong S. Optimal design of superplastic forming processes. Journal of Materials Processing Technology 112 2-3 (2001) 166-173
59. Carrino L., Giuliano G., and Palmieri C. On the optimisation of superplastic forming processes by the finite-element method. Journal of Materials Processing Technology 143-144 1 (2003) 373-377
60. Carrino L., Giuliano G., and Napolitano G. A posteriori optimisation of the forming pressure in superplastic forming processes by the finite element method. Finite Elements in Analysis and Design 39 (2003) 1083-1093
61. Byon S., and Hwang S. FEM-based process optimal design in steady-state metal forming considering strain-hardening. Computers and Structures 79 14 (2001) 1363-1375
62. Lin Z., Juchen X., Xinyun W., and Guoan H. Optimization of die profile for improving die life in the hot extrusion process. Journal of Materials Processing Technology 142 3 (2003) 659-664
63. Duan X., and Sheppard T. Shape optimisation using FEA software: A V-shaped anvil as an example. Journal of Materials Processing Technology 120 1-3 (2002) 426-431
64. Zhao G., Ma X., Zhao X., and Grandhi R. Studies on optimization of metal forming processes using sensitivity analysis methods. Journal of Materials Processing Technology 147 (2004) 217-228
65. Repalle J., and Grandhi R. Optimum design of forging process parameters and preform shape under uncertainties. Proceedings of NUMIFORM. Columbus, OH, USA (2004)
66. Thiyagarajan N., and Grandhi R. 3-D preform shape optimization in metal forming. Proceedings of NUMIFORM. Columbus, OH, USA (2004)
67. Poursina M., António C., Parvizian J., Sousa L., and Castro C. Eliminating folding defect in forging parts using a genetic algorithm. Proceedings of ESAFORM. Salerno, Italy (2003)
68. Do T., Fourment L., and Laroussi M. Sensitivity analysis and optimization algorithms for 3D forging process design. Proceedings of NUMIFORM. Columbus, OH, USA (2004)
69. Fourment L., Do T., Habbal A., Bouzaiane M., and Gradient. non-gradient and hybrid algorithms for optimizing 2D and 3D forging sequences. Cluj-Napoca, Romania (2005)
70. Fourment L., Do T., Habbal A., and Bouzaiane M. Optimization of forging sequences using gradient. Proceedings of APOMAT. Morschach, Switzerland (2005)
71. António C., Castro C., and Sousa L. Optimization of metal forming processes. Computers and Structures 82 (2004) 1425-1433
72. Castro C., António C., and Sousa L. Optimisation of shape and process parameters in metal forging using genetic algorithms. International Journal of Materials Processing Technology 146 (2004) 356-364
73. Sousa L., António C., and Castro C. Optimisation of multi-step hot forging operations. Proceedings of ESAFORM. Salerno, Italy (2003)
74. Palaniswamy H., Ngaile G., and Altan T. Optimization of blank dimensions to reduce springback in the flexforming process. Journal of Materials Processing Technology 146 (2004) 28-34
75. Sahai A., Schramm U., Buranathiti T., Chen W., Cao J., and Xia C. Sequential optimization and reliability assessment method for metal forming processes. Proceedings of NUMIFORM. Columbus, OH, USA (2004)
76. Ohata T., Nakamura Y., Katayama T., and Nakamachi E. Development of optimum process design system for sheet fabrication using response surface method. Journal of Materials Processing Technology 143-144 1 (2003) 667-672
77. Breitkopf P., Naceur H., Rassineux A., and Villon P. Optimizing metal forming processes using response surface approximation and inverse approach surrogate model. Proceedings of ESAFORM. Trondheim, Norway (2004)
78. Labergère C., Lejeune A., and Gelin J. Control of damage in flanges hydroforming. Proceedings of ECCOMAS. Jyväskylä, Finland (2004)
79. Emmerich M., Giotis A., Özdemir M., Bäck T., and Giannakoglou K. Metamodel-assisted evolution strategies. Proceedings of the International Conference on Parallel Problem Solving from Nature (2002)
80. Myers R., and Montgomery D. Response Surface Methodology: Process and Product Optimization Using Designed Experiments. second ed. (2002), Wiley, New York, USA ISBN 0-471-41255-4
81. Koc M., Allen T., Jiratheranat S., and Altan T. Use of FEA and design of experiments to establish design guidelines for simple hydroformed parts. International Journal of Machine Tools and Manufacture 40 15 (2000) 2249-2266
82. Revuelta A., and Larkiola J. Applying neural networks in the final thickness optimisation of a thin hydroformed part. Proceedings of ECCOMAS. Jyväskylä, Finland (2004)
83. M. Bonte, A. van den Boogaard, J. Huétink, An optimisation strategy for industrial metal forming processes, 2006, Structural and Multidisciplinary Optimization.
84. Yang K., and El-Haik B. Design For Six Sigma; A Roadmap for Product Development (2003), McGraw-Hill, Inc., New York, USA
85. Bonte M., van den Boogaard A., and Huétink J. Metamodelling techniques for the optimisation of metal forming processes. Proceedings of ESAFORM. Cluj-Napoca, Romania (2005) 155-158
86. Bonte M., van den Boogaard A., and Huétink J. Solving optimisation problems in metal forming using finite element simulation and metamodelling techniques. Proceedings of APOMAT. Morschach, Switzerland (2005) 242-251
87. M. Bonte, A. van den Boogaard, J. Huétink, A metamodel based optimisation algorithm for metal forming processes, in: Advanced Methods in Material Forming, Springer, Heidelberg, Germany, 2007, pp. 55-72.
88. Bonte M., Do T., Fourment L., van den Boogaard A., Huétink J., and Habbal A. A comparison of optimisation algorithms for metal forming processes. In: Juster N., and Rosochowski A. (Eds). Proceedings of ESAFORM. Glasgow, UK (2006) 883-886
89. M. Bonte, L. Fourment, T. Do, A. van den Boogaard, J.Huétink, Optimisation of metal forming processes using finite element simulations: a sequential approximate optimisation algorithm and its comparison to other algorithms by application to forging, 2006, submitted for publication.
90. Bonte M., van den Boogaard A., and Carleer B. Optimising towards robust metal forming processes. In: Juster N., and Rosochowski A. (Eds). Proceedings of ESAFORM. Glasgow, UK (2006) 47-50