Startseite Design Sensitivity Analysis for the Optimization of the Injection Molding Process
Artikel
Lizenziert
Nicht lizenziert Erfordert eine Authentifizierung

Design Sensitivity Analysis for the Optimization of the Injection Molding Process

  • F. Ilinca , J.-F. Hétu und D. Pelletier
Veröffentlicht/Copyright: 30. April 2013
Veröffentlichen auch Sie bei De Gruyter Brill

Abstract

This paper presents an application of the Continuous Sensitivity Equation Method (CSEM) for the optimization of the injection molding process and its three-dimensional (3D) simulation by the finite element method. Finding the proper combination of process parameters such as injection speed, and melt and mold temperatures is critical to achieving a part that minimizes warpage and has the desired mechanical properties. Very often a successful design in injection molding comes at the end of a long trial and error process. Design Sensitivity Analysis (DSA) can help manufacturers improve their designs and can produce substantial savings in terms of both time and money. This work explores the ability of sensitivity analysis to predict the effects of design parameters on the performance of an injection molding process. The paper presents results of a 3D finite element solution of the filling stage of the injection molding process. Sensitivities of the solution with respect to different process parameters are computed using the continuous sensitivity equation method. Solutions are shown for the non-isothermal filling of a rectangular plate with a polymer melt behaving as a non-Newtonian fluid. The paper presents the equations for the sensitivity of the velocity, pressure and temperature and their solution by a finite element method. Sensitivities of the solution with respect to the injection speed, the melt and mold temperatures and to the heat transfer coefficient at the cavity/mold interface are shown.


Mail address: F. Ilinca, Industrial Materials Inst., National Research Council, 75, de Mortagne, Boucherville, Québec, Canada, J4B 6Y4 E-mail:

References

1 Huilier, D., Terrisse, J., de la Landle, M.-E., Latrobe, A.: Int. Polym. Process., 3, p. 184 (1988).Suche in Google Scholar

2 Chen, B. S., Liu, W. H.: Int. Polym. Process.34, p. 835 (1994).10.1002/pen.760341009Suche in Google Scholar

3 Han, S., Wang, K. K.: Int. Polym. Process.12, p. 228 (1997).10.3139/217.970228Suche in Google Scholar

4 Martins, J. R. R. A., Stradza, P., Alonso, J. J.: ACM Trans. Math. Soft.29, p. 245 (2003).10.1145/838250.838251Suche in Google Scholar

5 Putko, M. M., Newman, P. A., Taylor, A. C., Green, L. L.: Paper presented at 15th AIAA CFD Conf., Anaheim (2001).Suche in Google Scholar

6 Borggaard, J., Burns, J.: J. Comp. Physics136, p. 366 (1997).10.1006/jcph.1997.5743Suche in Google Scholar

7 Stanley, L. G., Stewart, D. L.: Design sensitivity analysis: Computational issues of sensitivity equation methods, Frontiers in Applied Mathematics, 25 (2001).Suche in Google Scholar

8 Turgeon, É., Pelletier, D., Borggaard, J.: Paper presented at 8th AIAA/NASA/USAF/ISSMO Symposium on Multidisciplinary Analysis and Design, Long Beach (2000).Suche in Google Scholar

9 Haug, E. J., Choi, K. K., Komkov, V.: Mathematics in Science and Engineering177 (1986).Suche in Google Scholar

10 Hien, T. D., Kleiber, M.: Comp. Meth. Appl. Mech. Engrg.144, p. 111 (1997).10.1016/S0045-7825(96)01168-1Suche in Google Scholar

11 McDavid, R. M., Dantzig, J. A.: Int. J. Num. Meth. Fluids28, p. 419 (1998).10.1002/(SICI)1097-0363(19980915)28:3<419::AID-FLD721>3.0.CO;2-4Suche in Google Scholar

12 Smith, D. E., Tortorelli, D. A., TuckerIII, C. L.: Comp. Meth. Appl. Mech. Engrg.167, p. 283 (1998).10.1016/S0045-7825(98)00129-7Suche in Google Scholar

13 Smith, D. E., Tortorelli, D. A., TuckerIII, C. L.: Comp. Meth. Appl. Mech. Engrg.167, p. 303 (1998).10.1016/S0045-7825(98)00130-3Suche in Google Scholar

14 Turgeon, É., Pelletier, D., Borggaard, J.: 8th AIAA/NASA/USAF/ISSMO Symposium on Multidisciplinary Analysis and Design, Long Beach (2000).Suche in Google Scholar

15 Turgeon, É., Pelletier, D., Borggaard, J.: Paper presented at 39th AIAA Aerospace Science Meeting and Exhibit. Reno (2001).Suche in Google Scholar

16 Ilinca, F., Hétu, J.-F.: J. Inj. Molding Techn.6, p. 194 (2002).Suche in Google Scholar

17 Franca, L. P., Frey, S. L.: Comp. Meth. Appl. Mech. Engng.99, p. 209 (1992).10.1016/0045-7825(92)90041-HSuche in Google Scholar

18 Franca, L. P., Dutra Do Carmo, E. G.: Comp. Meth. Appl. Mech. Engng.74, p. 41 (1989).10.1016/0045-7825(89)90085-6Suche in Google Scholar

19 Ilinca, F., Hétu, J.-F.: Int. J. Numer. Meth. Fluids34, p. 729 (2000).10.1002/1097-0363(20001230)34:8<729::AID-FLD79>3.0.CO;2-PSuche in Google Scholar

20 Ilinca, F., Hétu, J.-F.: Int. Polym. Process.16, p. 291 (2001).10.3139/217.1643Suche in Google Scholar

21 Ilinca, F., Hétu, J.-F., Derdouri, A.: Paper presented at PPS19th Annual Meeting, Melbourne, Australia (2003).Suche in Google Scholar

Received: 2004-11-3
Accepted: 2004-12-22
Published Online: 2013-04-30
Published in Print: 2005-03-01

© 2005, Carl Hanser Verlag, Munich

Heruntergeladen am 21.9.2025 von https://www.degruyterbrill.com/document/doi/10.3139/217.1864/pdf
Button zum nach oben scrollen