Table 1
A methodology for graph-theoretic sheet metal die stamping.
| Step No. | Step label | Step input | Step description | Step output |
|---|---|---|---|---|
| A | Stamping FEATURES GENERATIONS | Feature-based CAD model | The stamping features are extracted from the sheet metal CAD part model. Auxiliary stamping features (pilot and scrap features) are specified by the process planner. | Stamping features set |
| B | Features operations mapping | Stamping features set | Stamping features are mapped to stamping operations through direct (one-to-one) and compositional (many-to-one) mapping. | Stamping operations tree |
| C | Generate operations precedence & adjacency graphs/matrices | Stamping operations tree | Generate the operation precedence and adjacency matrices. Verify the operation precedence graph is acyclic using a colored DFS. Cyclic graphs must be corrected manually by the process planner by modifying the rule database and/or the design-to-operation feature assignment. | Precedence & adjaceny graphs/matrices |
| D | Applying topological sort algorithm | Precedence & adjacency graphs/matrices | Cluster the operations into partially ordered sets using a modified topological sorting algorithm | Partially ordered operations clusters |
| E | Apply DSTAUR graph coloring algorithm [23] |
Partially ordered operations clusters | For each cluster use the graph coloring algorithm to sub-color the clusters − this will carry out additional sorting to take into account the closeness relationships | Fully ordered operations clusters |
| F | Verify stamping sequence using Index of priority (IOP) matrix [25] | Fully ordered operations clusters | and use joint operation matrix and calculate IOP | Optimal stamping operations sequence |
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