Articles

Relevant articles about sheet metal fabrication and underlying algorithms

Sheet Metal Resources#

Sheet Metal Design Guide | Geomiq - A practical introduction to sheet metal.


Technical Background#

Algorithm Sources#

The geometry and algorithms behind sheet metal recognition and unfolding.

Overall Approach
On Sheet Metal Recognition and Unfolding - A 13-part series by the author of Analysis Situs on recognizing sheet metal features and computing flat patterns. It does not cover hems.

PartTopic
1Recognition via attributed adjacency graph, splitting a model into upper and lower sides
2Flattening cylindrical bend faces, preserving contours and holes
3K-factor and the neutral axis
4The unfolding tree, border trihedron, flattening transforms
5Rolled parts, terminating and consecutive bends
6Bend sequences, tooling and collisions
7Drilled and countersunk holes, contour compensation
8Rolled parts vs tubes, seam-cut detection
9Dynamic unfolding: folding simulation and collision detection
10Non-isolated cutouts, resolved in the flat pattern
11Bend grouping by angle, axis, radius and direction
12Searching for feasible bend sequences by reverse simulation
13Mapping holes between the folded and flat states

Bend Direction Algorithm
Determining Bending Angles for a BREP - Discussion on computational methods for calculating bend angles from boundary representation (BREP) solid models.

Attributed Adjacency Graph
Analysis Situs: Attributed Adjacency Graph - Technical documentation on using attributed adjacency graphs for topological analysis of CAD models, a key data structure for sheet metal feature recognition.

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