Abstract:
An idea for the
computer-aided design of cylindrical dies for sheet bending is
proposed to compensate for the amount of spring back in the die
design. To implement this idea, some new algorithms are adopted:
⑴ Lagrange interpolation for the real stress-strain relationship
of arbitrary materials. ⑵ Piecewise curve spline fit for the
curvature function. ⑶ Least square collocation-Powell method in
solving non-linear differential equations. Thus, the final shape
of a die can be easily obtained by going through this procedure,
if the material and the geometry of the workpiece are specified.
The idea proposed here can be extended to design more
complicated dies.
Key words:
Cylindrical dies Sheet bending Computer-aided design
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