| Author | A. M. Maniatty and M.-F. Chen |
|---|---|
| Title | Inverse Approach to Design of Steady Forming Processes |
| Year | 1997 |
| Pages | - - |
| Editor | A.M. Maniatty |
| Abstract | This paper present a procedure for optimal process design of steady metal forming operations. The problem is formulated as a constrained optimization problem with inequality constraints. An augmented Lagrangian method is used to convert the constrained minimization problem to a sequence of unconstrained problems. The numerical algorithm applies a quasi-Newton method for minimizing the augmented Lagrangian and employs an adjoin method for formulating the sensitivity coefficients used in the minimization procedure. Two design problems are considered here. The first case involves minimizing the process power requirement, and the second case involves producing a specified mechanical property distribution in formed materials. The design parameters are the process geometry and speed. Numerical examples are presented for drawing, rolling, and extrusion to show the stability and convergence of the numerical algorithm. |
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