Numerical shape optimization as an approach to extrusion die design

被引:42
作者
Elgeti, S. [1 ,3 ]
Probst, M. [1 ,3 ]
Windeck, C. [2 ]
Behr, M. [1 ,3 ]
Michaeli, W. [2 ]
Hopmann, Ch. [2 ]
机构
[1] Rhein Westfal TH Aachen, Chair Computat Anal Tech Syst CATS, D-52062 Aachen, Germany
[2] Rhein Westfal TH Aachen, Inst Plast Proc IKV, D-52062 Aachen, Germany
[3] Rhein Westfal TH Aachen, CCES, D-52056 Aachen, Germany
关键词
Plastics profile extrusion dies; Shape optimization; NURBS parametrization; Homogeneous velocity distribution; Carreau model; COMPUTER-AIDED OPTIMIZATION; PART I; PROFILES; SENSITIVITY; STRATEGIES;
D O I
10.1016/j.finel.2012.06.008
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Profile extrusion is a manufacturing process used for continuous plastic profiles with a fixed cross section. The key challenge in the development of profile extrusion dies is to design the transition region between outflow and inflow of the die in such away that the material velocity at the outflow is homogeneous. At the current state of the art, die design is experience based and time-consuming running-in experiments need to be performed for each new die. Aim of this work is to develop a new design approach based on numerical shape optimization with the idea of significantly reducing the number of running-in experiments. Based on an existing, in-house flow solver, a shape optimization framework has been established. It contains a geometry kernel, which operates on non-uniform rational B-splines. The framework has been applied to two profile extrusion dies for profiles with rising complexity: a slit profile and a floor skirting. Apart from validating the functionality of the framework, the aim of the test cases was to investigate the influence of the use of the Carreau model on the optimization outcome. From flow simulations, it can be observed that the use of the Carreau model has a definite influence on the resulting flow solution in extrusion die scenarios. However, it is not clear whether this influence extends to the location of the optimal solution. (c) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码:35 / 43
页数:9
相关论文
共 28 条
[1]  
[Anonymous], 2005, PAMM P APPL MATH MEC
[2]   Computer aided rheological design of extrusion dies for profiles [J].
Carneiro, OS ;
Nóbrega, JM ;
Pinho, FT ;
Oliveira, PJ .
JOURNAL OF MATERIALS PROCESSING TECHNOLOGY, 2001, 114 (01) :75-86
[3]   REVIEW OF SOME USEFUL RHEOLOGICAL EQUATIONS [J].
CARREAU, PJ ;
DEKEE, D .
CANADIAN JOURNAL OF CHEMICAL ENGINEERING, 1979, 57 (01) :3-15
[4]  
Debbaut B., 2006, 22 ANN M POL PROC SO
[5]  
Elgeti S., 2011, THESIS RWTH AACHEN U
[6]   Parameterization and optimization strategies for the automated design of uPVC profile extrusion dies [J].
Ettinger, HJ ;
Sienz, J ;
Pittman, JFT ;
Polynkin, A .
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2004, 28 (2-3) :180-194
[7]  
Huerta A., 2003, Finite Element Methods for Flow Problems, Wiley
[8]   MESH UPDATE STRATEGIES IN PARALLEL FINITE-ELEMENT COMPUTATIONS OF FLOW PROBLEMS WITH MOVING BOUNDARIES AND INTERFACES [J].
JOHNSON, AA ;
TEZDUYAR, TE .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1994, 119 (1-2) :73-94
[9]  
Lebaal N., 2010, INT J MAT PRODUCT TE, V38
[10]   Design and optimization of three-dimensional extrusion dies, using constraint optimization algorithm [J].
Lebaal, Nadhir ;
Schmidt, Fabrice ;
Puissant, Stephan .
FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2009, 45 (05) :333-340