Design Sensitivity Analysis for the Optimization of the Injection Molding Process
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F. Ilinca
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.
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
© 2005, Carl Hanser Verlag, Munich
Artikel in diesem Heft
- Contents
- Contents
- Editorial
- New at International Polymer Processing
- Regular Contributed Articles
- Preparing of Homogeneous Solution of Ultrahigh Molecular Weight PAN
- Non-linear Viscoelastic Behavior of PVC Plastisol
- Algorithms for Two Gate Optimization in Injection Molding
- Viscoelastic Properties of Flexible Organic Fiber Composites
- Mold for Manipulation Microstructure Development
- Simultaneous Biaxial Stretching of PP Resins of Varying Tacticity
- Rotational Moulding of PVC Plastisol
- Drawability of As-spun PP Fibres
- Melt Fracture of Linear PE
- Investigation of the Cooling Jets Used in the Blown Film Process
- Non-linear Crystalline Spherulitic Growth Behavior for LLDPE
- Design Sensitivity Analysis for the Optimization of the Injection Molding Process
- Preparation and Characteristics of Reactive Blends of Phosphate-containing Maleimide and Epoxy
- Easy Tear Multilayer Film of Biaxially Oriented PA6/MXD6 by Double Bubble Tubular Film Process
- PPS News
- PPS News
- Seikei-Kakou Abstracts
- Seikei-Kakou Abstracts
Artikel in diesem Heft
- Contents
- Contents
- Editorial
- New at International Polymer Processing
- Regular Contributed Articles
- Preparing of Homogeneous Solution of Ultrahigh Molecular Weight PAN
- Non-linear Viscoelastic Behavior of PVC Plastisol
- Algorithms for Two Gate Optimization in Injection Molding
- Viscoelastic Properties of Flexible Organic Fiber Composites
- Mold for Manipulation Microstructure Development
- Simultaneous Biaxial Stretching of PP Resins of Varying Tacticity
- Rotational Moulding of PVC Plastisol
- Drawability of As-spun PP Fibres
- Melt Fracture of Linear PE
- Investigation of the Cooling Jets Used in the Blown Film Process
- Non-linear Crystalline Spherulitic Growth Behavior for LLDPE
- Design Sensitivity Analysis for the Optimization of the Injection Molding Process
- Preparation and Characteristics of Reactive Blends of Phosphate-containing Maleimide and Epoxy
- Easy Tear Multilayer Film of Biaxially Oriented PA6/MXD6 by Double Bubble Tubular Film Process
- PPS News
- PPS News
- Seikei-Kakou Abstracts
- Seikei-Kakou Abstracts