On Applying Kriging Approximate Optimization to Sheet Metal Forming

2011 ◽  
Vol 63-64 ◽  
pp. 3-7
Author(s):  
Yan Min Xie
Keyword(s):  
Sheet Metal ◽  
Process Parameters ◽  
Sheet Metal Forming ◽  
Metal Forming ◽  
Nonlinear Function ◽  
Kriging Model ◽  
Engineering Problem ◽  
Forming Process ◽  
Element Analysis ◽  
Metal Forming Process

This paper presents a methodology to effectively determine the optimal process parameters using finite element analysis (FEA) and design of experiments (DOE) based on Metamodels. The idea is to establish an approximation function relationship between quality objectives and process parameters to alleviate the expensive computational expense in the optimization iterations for the sheet metal forming process. This paper investigated the Kriging metamodel approach. In order to prove accuracy and efficiency of Kriging method, the nonlinear function as test functions is implemented. At the same time, the practical nonlinear engineering problems such as square drawing are also optimized successfully by proposed method. The results prove Kriging model is an effective method for nonlinear engineering problem in practice.

Investigation of Process Parameters Based on Kriging in Sheet Metal Forming

2011 ◽  
Vol 346 ◽  
pp. 128-135
Author(s):  
Yan Min Xie ◽  
Xiao Mei Xu
Keyword(s):  
Sheet Metal ◽  
Sheet Metal Forming ◽  
Metal Forming ◽  
Numerical Procedure ◽  
Computer Experiments ◽  
Kriging Model ◽  
Engineering Problem ◽  
Forming Process ◽  
Metal Forming Process ◽  
Analysis Models

Design and analysis of computer experiments have been widely investigated. This study presents numerical procedure to optimize the sheet metal forming process. Metamodels based on responses from numerical experiments may form efficient approximations to functions in engineering analysis. They can improve the efficiency of engineering optimization substantially by uncoupling computationally expensive analysis models and (iterative) optimization procedures. This paper investigated the kriging metamodel approach. At the same time, the practical nonlinear engineering problems such as square drawing are also optimized successfully by proposed method. The results prove Kriging model is an effective method for nonlinear engineering problem in practice.

Multi-Objective Optimal Approach Based on Kriging Model in a Deep Drawing Process

2011 ◽  
Vol 474-476 ◽  
pp. 205-210 ◽  
Author(s):  
Yan Min Xie
Keyword(s):  
Sheet Metal ◽  
Process Parameters ◽  
Nonlinear Function ◽  
Kriging Model ◽  
Forming Process ◽  
Element Analysis ◽  
Metal Forming Process ◽  
Proper Design ◽  
Function Relationship ◽  
Optimal Approach

Sheet metal stamping processes design is not a trivial task due to the complex issues to be taken into account. Therefore, proper design methodologies to reduce times and costs have to be developed mostly based on computer aided procedures. This paper presents a methodology to effectively determine the optimal process parameters using finite element analysis (FEA) and design of experiments (DOE) based on Metamodels. The idea is to establish an approximation function relationship between quality objectives and process parameters to alleviate the expensive computational expense in the optimization iterations for the sheet metal forming process. This paper investigated the Kriging metamodel approach. In order to prove accuracy and efficiency of Kriging method, a nonlinear function as test functions is implemented. At the same time, the practical nonlinear engineering problems such as square drawing are also optimized successfully by proposed method.

A New Robot-Based Sheet Metal Forming Process

2005 ◽  
Vol 6-8 ◽  
pp. 465-470 ◽  
Author(s):  
Horst Meier ◽  
O. Dewald ◽  
Jian Zhang
Keyword(s):  
Sheet Metal ◽  
Process Parameters ◽  
Sheet Metal Forming ◽  
Metal Forming ◽  
Small Deformation ◽  
Industrial Robots ◽  
Forming Process ◽  
High Deformation ◽  
Metal Forming Process ◽  
Movement Strategy

This paper describes a new sheet metal forming process for the production of sheet metal components for limited-lot productions and prototypes. The kinematic based generation of the shape is implemented by means of a new forming machine comprising of two industrial robots. Compared to conventional sheet metal forming machines this newly developed sheet metal forming process offers a high geometrical form flexibility and also shows comparatively small deformation forces for high deformation degrees. The principle of the procedure is based on flexible shaping by means of a freely programmable path-synchronous movement of the two robots. The sheet metal components manufactured in first attempts are simple geometries like truncated pyramids and cones as well as spherical cups. Among other things the forming results could be improved by an adjustment of the movement strategy, a variation of individual process parameters and geometric modifications of the tools. Apart from a measurement of the form deviations of the sheet metal with a Coordinate Measurement Machine rasterised and deformed sheet metals were used for deformation analyses. In order to be able to use the potential of this process, a goal-oriented process design is as necessary as specific process knowledge. In order to achieve process stability and safety the essential process parameters and the process boundaries have to be determined.

scholarly journals Experimental And Theoretical Determination Of Forming Limit Curve

2015 ◽  
Vol 60 (3) ◽  
pp. 1881-1886
Author(s):  
J. Adamus ◽  
K. Dyja ◽  
M. Motyka
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Sheet Metal ◽  
Sheet Metal Forming ◽  
Metal Forming ◽  
Fracture Initiation ◽  
Forming Limit ◽  
Forming Process ◽  
Element Analysis ◽  
Metal Forming Process

Abstract The paper presents a method for determining forming limit curves based on a combination of experiments with finite element analysis. In the experiment a set of 6 samples with different geometries underwent plastic deformation in stretch forming till the appearance of fracture. The heights of the stamped parts at fracture moment were measured. The sheet - metal forming process for each sample was numerically simulated using Finite Element Analysis (FEA). The values of the calculated plastic strains at the moment when the simulated cup reaches the height of the real cup at fracture initiation were marked on the FLC. FLCs for stainless steel sheets: ASM 5504, 5596 and 5599 have been determined. The resultant FLCs are then used in the numerical simulations of sheet - metal forming. A comparison between the strains in the numerically simulated drawn - parts and limit strains gives the information if the sheet - metal forming process was designed properly.

Influence of the Adaptive Remeshing during Simulations of Sheet Metal Forming Processes

2011 ◽  
Vol 473 ◽  
pp. 691-698
Author(s):  
Laurence Giraud-Moreau ◽  
Abel Cherouat ◽  
Houman Borouchaki
Keyword(s):  
Sheet Metal ◽  
Sheet Metal Forming ◽  
Metal Forming ◽  
Forming Process ◽  
Mesh Distortion ◽  
Element Analysis ◽  
Physical Size ◽  
Adaptive Remeshing ◽  
The Finite Element Analysis ◽  
Metal Forming Process

In this work, an adaptive remeshing scheme is presented in order to simulate with accuracy sheet metal forming processes. During simulations of metal forming processes, large plastic deformations with ductile damage occur and severe mesh distortion takes place after a few incremental steps. Hence frequent remeshing of the part must be performed in order to carry out the finite element analysis. The necessary steps to remesh the damaged structure during the simulation of the sheet metal forming process are given. The adaptive remeshing based on refinement and coarsening techniques, is controlled by geometrical and physical size maps. This remeshing strategy has been coupled with a projection method in order to avoid problems of contact between the part and the rigid tools. The influence of the remeshing is studied on numerical examples which show the capacity of the proposed procedure.

Studies on the Processes Design of Multi-Step Sheet Metal Forming

2010 ◽  
Vol 146-147 ◽  
pp. 1855-1858
Author(s):  
Wei Chen ◽  
Ming Yan Wu ◽  
Zhong Fu Huang ◽  
Yi Ding ◽  
Feng Ze Dai
Keyword(s):  
Finite Element Analysis ◽  
Sheet Metal ◽  
Sheet Metal Forming ◽  
Metal Forming ◽  
Strain Path ◽  
Forming Process ◽  
Element Analysis ◽  
Design Rules ◽  
Forming Quality ◽  
Metal Forming Process

It is well known that the design of multi-step sheet metal forming process is rather difficult. Even small errors may cause significant quality problem. In recent years, finite element analysis (FEA) has being considered as an essential tool for the design. Using a commercial FEA package, DYNAFORM, this paper studies the design of multi-step sheet metal forming processes, especially on how the design of the intermediate steps affect the forming quality. For a rectangle box with a rectangle protrusion inside, several different forming schemes are investigated by means of FEA. The study reveals that the strain path plays an important role. Accordingly, a couple of design rules are suggested.

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