Sequential approximate robust design optimization using radial basis function network

International Journal of Mechanics and Materials in Design

Volumn 10, Issue 3, 2014, Pages 313-328

  Kitayama, Satoshi ^a   Yamazaki, Koetsu ^a  

^a KANAZAWA UNIVERSITY   (Japan)

Author keywords

Radial basis function network; Robust design optimization; Sequential approximate optimization

Indexed keywords

EVOLUTIONARY ALGORITHMS; FINITE DIFFERENCE METHOD; FUNCTION EVALUATION; FUNCTIONS; OPTIMAL SYSTEMS; PARETO PRINCIPLE; STATISTICS;

DESIGN OPTIMIZATION; MULTI OBJECTIVE EVOLUTIONARY ALGORITHMS; NUMERICAL CALCULATION; PARETO OPTIMAL SOLUTIONS; ROBUST DESIGN OPTIMIZATION; ROBUST OPTIMAL SOLUTIONS; SEQUENTIAL APPROXIMATE OPTIMIZATION; VARIABLE BLANK-HOLDER FORCE;

RADIAL BASIS FUNCTION NETWORKS;

EID: 84920251753     PISSN: 15691713     EISSN: 15738841     Source Type: Journal    
DOI: 10.1007/s10999-014-9248-z     Document Type: Article

References (38)

1. Chen, W., Allen, J.K., Tsui, K.L., Mistree, F.: A procedure for robust design: minimizing variations caused by noise factors and control factors. J. Mech. Des. 118, 478–485 (1996)
2. Chen, W., Wiecek, M.M., Zhang, J.: Quality utility—a compromise programming approach to robust design. J. Mech. Des. 121, 179–187 (1999)
3. Chen, W., Fu, W., Biggers, S.B., Latour, R.A.: An affordable approach for robust design of thick laminated composite structure. Optim. Eng. 1, 305–322 (2000)
4. Choi, J.H., Lee, W.H., Park, J.J., Youn, B.D.: A study on robust design optimization of layered plate bonding process considering uncertainties. Struct. Multidiscip. Optim. 35, 531–540 (2008)
5. Gao, Y., Wang, X.: An effective warpage optimization method in injection molding based on the Kriging model. Int. J. Adv. Manuf. Technol. 37, 953–960 (2008)
6. Govindaluri, S.M., Cho, B.R.: Robust design modeling with correlated quality characteristics using multicriteria decision framework. Int. J. Adv. Manuf. Technol. 32, 423–433 (2007)
7. Hillmann, M., Kubli, W.: Optimization of sheet metal forming processes using simulation programs. In: NUMISHEET’99, Beasnc, France, 1999, vol. 1, pp. 287–292
8. Hu, J., Peng, Y., Li, D., Yin, J.: Robust optimization based on knowledge discovery from metal forming simulation. J. Mater. Process. Technol. 187–188, 698–701 (2007)
9. Jakumeit, J., Herdy, M., Nitsche, M.: Parameter optimization of the sheet metal forming process using an iterative parallel Kriging algorithm. Struct. Multidiscip. Optim. 29, 498–507 (2005)
10. Jiang, C., Han, X., Liu, G.R., Li, G.Y.: The optimization of the variable binder force in U-shaped forming with uncertain friction coefficient. J. Mater. Process. Technol. 182, 262–267 (2007)
11. Kitayama, S., Arakawa, M., Yamazaki, K.: Sequential approximate optimization using radial basis function network for engineering optimization. Optim. Eng. 12(4), 535–557 (2011)
12. Kitayama, S., Kita, K., Yamazaki, K.: Optimization of variable blank holder force trajectory by sequential approximate optimization with RBF network. Int. J. Adv. Manuf. Technol. 61(9–12), 1067–1083 (2012)
13. Kitayama, S., Srirat, J., Arakawa, M., Yamazaki, K.: Sequential approximate multi-objective optimization using radial basis function network. Struct. Multidiscip. Optim. 48(3), 501–515 (2013)
14. Kovach, J., Cho, B.R.: Constrained robust design experiments and optimization with the consideration of uncontrollable factors. Int. J. Adv. Manuf. Technol. 38, 7–18 (2008)
15. Lee, K.H., Park, G.J.: Robust optimization considering tolerances of design variables. Comput. Struct. 79, 77–86 (2001)
16. Lee, S.W., Yang, D.Y.: An assessment of numerical parameters influencing springback in explicit finite element analysis of sheet metal forming process. J. Mater. Process. Technol. 80–81, 60–67 (1998)
17. Lee, I., Choi, K.K., Du, L., Gorsich, D.: Dimension reduction method for reliability-based robust design optimization. Comput. Struct. 86, 1550–1562 (2008)
18. Li, C., Wang, F.L., Chang, Y.Q., Liu, Y.: A modified global optimization method based on surrogate model and its application in packing profile optimization of injection molding process. Int. J. Adv. Manuf. Technol. 48, 505–511 (2010)
19. Liu, G., Lin, Z., Xu, W., Bao, Y.: Variable blank holder force in U-shaped part forming for eliminating springback error. J. Mater. Process. Technol. 120, 259–264 (2002)
20. Martin, J.D., Simpson, T.W.: Use of Kriging models to approximate deterministic computer models. AIAA J. 43(4), 853–863 (2005)
21. Messac, A., Yahaya, A.I.: Multiobjective robust design using physical programming. Struct. Multidiscip. Optim. 23, 357–371 (2002)
22. Nakayama, H., Arakawa, M., Sasaki, R.: Simulation-based optimization using computational intelligence. Optim. Eng. 3, 201–214 (2002)
23. Papeleux, L., Ponthot, J.P.: Finite element simulation of springback in sheet metal forming. J. Mater. Process. Technol. 125–126, 785–791 (2002)
24. Park, G.J., Lee, T.H., Hwang, K.H.: Robust design: an overview. AIAA J. 44(1), 181–191 (2006)
25. Robinson, T.J., Borror, C.M., Myers, R.: Robust parameter design: a review. Qual. Reliab. Eng. Int. 20, 81–101 (2004)
26. Shi, H., Gao, Y., Wang, X.: Optimization of injection molding process parameters using integrated artificial neural network model and expected improvement function method. Int. J. Adv. Manuf. Technol. 48, 955–962 (2010)
27. Shimoyama, K., Lim, J.N., Jeong, S., Obayashi, S., Koishi, M.: Practical implementation of robust design assisted by response surface approximation and visual data-mining. J. Mech. Des. 131, 061007-1–061007-11 (2009)
28. Shin, S., Samanlioglu, F., Cho, B.R., Wiecek, M.M.: Computing trade-offs in robust design: perspectives of the mean squared error. Comput. Ind. Eng. 60, 248–255 (2011)
29. Simpson, T.W., Mauery, T.M., Korte, J.J., Mistree, F.: Kriging models for global approximation in simulation-based multidisciplinary design optimization. AIAA J. 39(12), 2233–2241 (2001)
30. Su, J., Renaud, J.E.: Automatic differentiation in robust optimization. AIAA J. 35(6), 1072–1079 (1997)
31. Tang, Y., Chen, J.: Robust design of sheet metal forming process based on adaptive importance sampling. Struct. Multidiscip. Optim. 39, 531–544 (2009)
32. Wang, G.G., Shan, S.: Review of metamodeling techniques in support of engineering design optimization. J. Mech. Des. 129, 370–380 (2007)
33. Wang, H., Li, E., Li, G.Y.: Optimization of drawbead design in sheet metal forming based on intelligent sampling by using response surface methodology. J. Mater. Process. Technol. 206, 45–55 (2008)
34. Wang, H., Li, E., Li, G.Y.: The least square support vector regression coupled with parallel sampling scheme metamodeling technique and application in sheet forming optimization. Mater. Des. 30, 1468–1479 (2009)
35. Wang, H., Li, E., Li, G.Y.: Parallel boundary and best neighbor searching sampling algorithm for drawbead design optimization in sheet metal forming. Struct. Multidiscip. Optim. 41, 309–324 (2010)
36. Xu, W.L., Ma, C.H., Li, C.H., Feng, W.J.: Sensitive factors in springback simulation for sheet metal forming. J. Mater. Technol. 151, 217–222 (2004)
37. Zang, C., Friswell, M.I., Mottershead, J.E.: A review of robust optimal design and its application in dynamics. Comput. Struct. 83, 315–326 (2005)
38. Zhang, J., Wiecek, M.M., Chen, W.: Local approximation of the efficient frontier in robust design. J. Mech. Des. 122, 232–236 (2000)