Radial basis functional model for multi-objective sheet metal forming optimization

Engineering Optimization

Volumn 43, Issue 12, 2011, Pages 1351-1366

  Sun, Guangyong ^a,b   Li, Guangyao ^a   Gong, Zhihui ^a   He, Guanqiang ^a   Li, Qing ^b  

^a HUNAN UNIVERSITY   (China)

^b UNIVERSITY OF SYDNEY   (Australia)

Author keywords

drawbead design; finite element analysis; multi objective optimization; radial basis function (RBF); response surface method (RSM); sheet metal forming

Indexed keywords

DRAWBEAD; FUNCTIONAL MODEL; META MODEL; METAL PROCESS; MULTI OBJECTIVE; MULTI OBJECTIVE PARTICLE SWARM OPTIMIZATION; NONLINEAR PROBLEMS; POPULATION-BASED ALGORITHM; RADIAL BASIS; RADIAL BASIS FUNCTION (RBF); RADIAL BASIS FUNCTIONS; RESPONSE SURFACE METHOD;

COST FUNCTIONS; DESIGN; FINITE ELEMENT METHOD; FRACTURE; METAL DRAWING; RADIAL BASIS FUNCTION NETWORKS; SHEET METAL;

MULTIOBJECTIVE OPTIMIZATION;

EID: 84863116262     PISSN: 0305215X     EISSN: 10290273     Source Type: Journal    
DOI: 10.1080/0305215X.2011.557072     Document Type: Article

References (55)

1. Annamdas, K.K. and Rao, S.S., 2009. Multi-objective optimization of engineering systems using game theory and particle swarm optimization. Engineering Optimization, 41(8), 737-752.
2. Azaouzi, M., et al., 2008. An heuristic optimization algorithm for the blank shape design of high precision metallic parts obtained by a particular stamping process. Finite Elements in Analysis and Design, 44 (14), 842-850.
3. Breitkopf, P., et al., 2005. Moving least squares response surface approximation: Formulation and metal forming applications. Computers & Structures, 83 (17-18), 1411-1428. (Pubitemid 40574504)
4. Chamekh, A., et al., 2010. An optimization strategy based on a metamodel applied for the prediction of the initial blank shape in a deep drawing process. International Journal of Advanced Manufacturing Technology, 50 (1-4), 93-100.
5. Chuang, C.H., et al., 2008. Multidisciplinary design optimization on vehicle tailor rolled blank design. Structural and Multidisciplinary Optimization, 35 (6), 551-560. (Pubitemid 351601294)
6. Deb, K., et al., 2002. A fast and elitist multi-objective genetic algorithm: Nsga-ii. Ieee Transactions on Evolutionary Computation, 6 (2), 182-197. (Pubitemid 34555372)
7. Fan, S.K.S. and Chang, J.M., 2009. A parallel particle swarm optimization algorithm for multi-objective optimization problems. Engineering Optimization, 41 (7), 673-697.
8. Fang, H., et al., 2005. A comparative study of metamodeling methods for multi-objective crashworthiness optimization. Computers & Structures, 83 (25-26), 2121-2136. (Pubitemid 41084679)
9. Fourie, P.C. and Groenwold, A.A., 2002. The particle swarm optimization algorithm in size and shape optimization. Structural and Multidisciplinary Optimization, 23 (4), 259-267. (Pubitemid 35354676)
10. Gaing, Z.L., 2004. A particle swarm optimization approach for optimum design of pid controller in avr system. IEEE Transactions on Energy Conversion, 19 (2), 384-391.
11. Guo, Y.Q., et al., 2000. Recent developments on the analysis and optimum design of sheet metal forming parts using a simplified inverse approach. Computers & Structures, 78, 133-148.
12. Hardy, R.L., 1971. Multiquadric equations of topography and other irregular surfaces. Journal of Geophysical Research, 76 (8), 1905-1915.
13. Hou, B., et al., 2010. Stochastic analysis and robust optimization for a deck lid inner panel stamping. Materials & Design, 31 (3), 1191-1199.
14. Hou, S.J., et al., 2008. Multiobjective optimization of multi-cell sections for the crashwothiness design. International Journal of Impact Engineering, 35 (11), 1355-1367.
15. Hou, S.J., et al., 2009. Carshworthiness design for foam filled thin-wall structures. Materials&Design, 30 (6), 2024-2032.
16. Hu, W., Yao, L.G., and Hua, Z.Z., 2008. Optimization of sheet metal forming processes by adaptive response surface based on intelligent sampling method. Journal of Materials Processing Technology, 197 (1-3), 77-88. (Pubitemid 350251137)
17. Huang,Y., Lo, Z.Y., and Du, R., 2006. Minimization of the thickness variation in multi-step sheet metal stamping. Journal of Materials Processing Technology, 177 (1-3), 84-86. (Pubitemid 44038209)
18. Izui K., Nishiwaki S., andYoshimura M., 2007. Swarm algorithms for single- and multi-objective optimization problems incorporating sensitivity analysis, Engineering Optimization, 39 (8), 981-998. (Pubitemid 350129573)
19. Izui, K., Nishiwaki, S.,Yoshimura, M., Nakamura, M., and Renaud, J.E., 2008. Enhanced multi-objective particle swarm optimization in combination with adaptive weighted gradient-based searching. Engineering Optimization, 40 (9), 789-804.
20. Jakumeit, J., Herdy, M., and Nitsche, M., 2005. Parameter optimization of the sheet metal forming process using an iterative parallel kriging algorithm. Structural and Multidisciplinary Optimization, 29 (6), 498-507. (Pubitemid 40878863)
21. Jansson, T., Andersson, A., and Nilsson, L., 2005. Optimization of draw-in for an automotive sheet metal part an evaluation using surrogate models and response surfaces. Journal of Materials Processing Technology, 159 (3), 426-434. (Pubitemid 40072612)
22. Jansson, T., Nilsson, L., and Redhe, M., 2003. Using surrogate models and response surfaces in structural optimization- with application to crashworthiness design and sheet metal forming. Structural and Multidisciplinary Optimization, 25 (2), 129-140.
23. Kayabasi, O. and Ekici, B., 2007. Automated design methodology for automobile side panel die using an effective optimization approach. Materials & Design, 28 (10), 2665-2672. (Pubitemid 47010274)
24. Knowles, J.D. and Corne, D.W., 2000. Approximating the nondominated front using the pareto archived evolution strategy. Evolutionary Computation, 8 (2), 149-172.
25. Kok, S. and Stander, N., 1999. Optimization of a sheet metal forming process using successive multipoint approximations. Structural Optimization, 18 (4), 277-295. (Pubitemid 30530114)
26. Kurtaran, H., 2008. A novel approach for the prediction of the bend allowance in air bending and comparision with other methods. International Journal of Advanced Manufacturing Technology, 37 (5-6), 486-495. (Pubitemid 351572849)
27. Liao, X.T., Li, Q., Yang, X.J., Zhang, W.G., and Li, W., 2008. Multi-objective optimization for crash safety design of vehicles using stepwise regression model. Structural and Multidisciplinary Optimization, 35 (6), 561-569.
28. Liew, K.M., Tan, H., Ray, T., and Tan, M.J., 2004. Optimal process design of sheet metal forming for minimum springback via an integrated neural network evolutionary algorithm. Structural and Multidisciplinary Optimization, 26 (3-4), 284-294.
29. Liu, D.S., Tan, K.C., Goh, C.K., and Ho, W.K., 2007. A multi-objective memetic algorithm based on particle swarm optimization. IEEE Transactions on Systems Man and Cybernetics. Part B. Cybernetics, 37 (1), 42-50. (Pubitemid 46358478)
30. Liu, W. and Yang, Y.Y., 2008. Multi-objective optimization of sheet metal forming process using Pareto-based genetic algorithm. Journal of Materials Processing Technology, 208 (1-3), 499-506.
31. Naceur, H., Ben-Elechi, S., Batoz, J.L., and Knopf-Lenoir, C., 2008. Response surface methodology for the rapid design of aluminum sheet metal forming parameters. Materials & Design, 29, 781-790. (Pubitemid 351218058)
32. Naceur, H., Guo,Y.Q., Batoz, J.L., and Knopf-Lenoir, C., 2001. Optimization of drawbead restraining forces and drawbead design in sheet metal forming process. International Journal of Mechanical Sciences, 43 (10), 2407-2434. (Pubitemid 32798380)
33. Ohata, T., Nakamura, Y., Katayama, T., and Nakamachi, E., 2003. Development of optimum process design system for sheet fabrication using response surface method. Journal of Materials Processing Technology, 143 (Special Issue SI), 667-672.
34. Ohata, T., Nakamura,Y., Katayama, T., Nakamachi, E., and Nakano, K., 1996. Development of optimum process design system by numerical simulation. Journal of Materials Processing Technology, 60 (1-4), 543-548. (Pubitemid 126383334)
35. Parsopoulos, K.E., and Vrahatis, M.N., 2004. On the computation of all global minimizers through particle swarm optimization. IEEE Transactions on Evolutionary Computation, 8 (3), 211-224.
36. Rahimi-Vahed, A.R., Mirghorbani, S.M., and Rabbani, M., 2007. A hybrid multi-objective particle swarm algorithm for a mixed-model assembly line sequencing problem. Engineering Optimization, 39 (8), 877-898. (Pubitemid 350129567)
37. Raquel, C. and Naval, P., 2005. An effective use of crowding distance in multi-objective particle swarm optimizationed. In: H.G. Beyer and U.M. O'Reilly (eds.), Proceedings of the 2005 IEEE conference on genetic and evolutionary computation, 25-29 June,Washington DC. NewYork, NY: IEEE Press, 257-264. (Pubitemid 43226295)
38. Reddy, M.J. and Kumar, D.N., 2007. An efficient multi-objective optimization algorithm based on swarm intelligence for engineering design. Engineering Optimization, 39 (1), 49-68. (Pubitemid 44956295)
39. Robinson, J. and Rahmat-Samii,Y., 2004. Particle swarm optimization in electromagnetics. IEEETransactions onAntennas and Propagation, 52 (2), 397-407.
40. Salman, A., Ahmad, I., and Al-Madani, S., 2002. Particle swarm optimization for task assignment problem. Microprocessors and Microsystems, 26 (8), 363-371.
41. Schenk, O. and Hillmann, M., 2004. Optimal design of metal forming die surfaces with evolution strategies. Computers & Structures, 82 (20-21), 1695-1705.
42. Schutze, O., Coello, C.A.C., Mostaghim, S., Talbi, E.G., and Dellnitz, M., 2008. Hybridizing evolutionary strategies with continuation methods for solving multi-objective problems, Engineering Optimization, 40 (5), 383-402. (Pubitemid 351598806)
43. Sun, G.Y., Li, G.Y., Gong, Z.H., Cui, X.Y.,Yang, X.J., and Li, Q., 2010a. Multi-objective robust optimization method for drawbead design in sheet metal forming. Materials & Design, 31 (4), 1917-1929.
44. Sun, G.Y., Li, G.Y., Hou, S.J., Zhou, S.W., Li,W., and Li, Q., 2010b. Crashworthiness design for functionally graded foamfilled thin-walled structures. Materials Science and Engineering-Structural Materials Properties Microstructure and Processing, 527 (7-8), 1911-1919.
45. Sun, G.Y., Li, G.Y., Stone, M., and Li, Q., 2010c.A two-stage multi-fidelity optimization procedure for honeycomb-type cellular materials. Computational Materials Science, 49, 500-511.
46. Tang, B.T., Sun, J.X., Zhao, Z., Chen, J., and Ruan, X.Y., 2006. Optimization of drawbead design in sheet forming using one step finite element method coupled with response surface methodology. International Journal of Advanced Manufacturing Technology, 31 (3-4), 225-234. (Pubitemid 44770859)
47. Wang, G.G., Shan, S., 2007. Review of metamodeling techniques in support of engineering design optimization. Journal of Mechanical Design, 129 (4), 370-380. (Pubitemid 46736217)
48. Wang, G.G., Dong, Z.M., and Aitchison, P., 2001. Adaptive response surface method -A global optimization scheme for approximation-based design problems. Engineering Optimization, 33 (6), 707-733. (Pubitemid 33816826)
49. Wang, J.G. and Liu, G.R., 2002. On the optimal shape parameters of radial basis functions used for 2D meshless methods. Computer Methods in Applied Mechanics and Engineering, 191 (23-24), 2611-2630. (Pubitemid 34452176)
50. Wang, S.Y. and Wang, M.Y., 2006. Radial basis functions and level set method for structural topology optimization. International Journal for Numerical Methods in Engineering, 65 (12), 2060-2090.
51. Wei, D.L., Cui, Z.S., and Chen, J., 2008. Optimization and tolerance prediction of sheet metal forming process using response surface model. Computational Materials Science, 42 (2), 228-233. (Pubitemid 351335256)
52. Yang, R.J., Chen, C.J., and Lee, C.H., 1996. Bead pattern optimization. Structural Optimization, 12 (4), 217-221. (Pubitemid 126650486)
53. Yang, R.J., Wang, N., Tho, C.H., and Bobineau, J.P., 2005. Metamodeling development for vehicle frontal impact simulation. Journal of Mechanical Design, 127 (5), 1014-1020. (Pubitemid 41250125)
54. Yoshida, H., Kawata, K., Fukuyama,Y., Takayama, S., and Nakanishi,Y., 2000.A particle swarm optimization for reactive power and voltage control considering voltage security assessment. IEEE Transactions on Power Systems, 15 (4), 1232-1239. (Pubitemid 32870262)
55. Zabaras, N., Ganapathysubramanian, S., and Li, Q., 2003. A continuum sensitivity method for the design of multi-stage metal forming processes. International Journal of Mechanical Sciences 45, 325-358.