This thesis examines algorithms for the drawing of metro maps. The most important elements of a metro map are stations and lines connecting the stations. In the context of this thesis, we restrict the elements used for representing lines to one of two classes: On the one hand, circular segments lying on circles with a common center S are allowed. On the other hand, line segments lying on lines ...

In this paper back-propagation artificial neural network (BPANN) is employed to predict the limiting drawing ratio (LDR) of the deep drawing process. To prepare a training set for BPANN, some finite element simulations were carried out. die and punch radius, die arc radius, friction coefficient, thickness, yield strength of sheet and strain hardening exponent were used as the input data and the...

In this paper back-propagation artificial neural network (BPANN) with Levenberg–Marquardt algorithm is employed to predict the limiting drawing ratio (LDR) of the deep drawing process. To prepare a training set for BPANN, some finite element simulations were carried out. die and punch radius, die arc radius, friction coefficient, thickness, yield strength of sheet and strain hardening exponent ...

in this study, the formation of different parts of a cup during deep drawing process has been investigated analytically using the geometrical relationships. for a given punch travel, the effects of the bending angle, and those of the die and shoulder radii on the flange and die shoulder strains were examined. in addition, different components of the deformation force were calculated and the pun...

The present research work is concerned with the effects of optimum process variables in elevated temperature hydro-mechanical deep drawing of 5052 aluminum alloy. Punch-workpiece and die-workpiece friction coefficients together with the initial gap between the blank holder and matrix were considered as the process variables which, in optimization terminology, are called design parameters. Since...

The deep drawing is a process for shaping flat sheets into cup-shaped articles without failure or excessive localized thinning. The design and control of a deep drawing process depends not only on the material, but also on the condition of the tool material interface, the mechanics of plastic deformation, the equipment used, and the control of metal flow. The equipment and tooling parameters th...

Deep drawing of two-layer sheet is a suitable way to achieve product with a desired shape and desired properties in sheet metal forming technology. Control of deep drawing parameter such as thinning is the most important challenge in this process. The most difficult part of this challenge is differences in material properties and geometry of each layer. In this paper, numerical approach has bee...