Application of screw theory to constraint analysis of mechanical
assemblies joined by features
Journal of Mechanical Design, 123 (1):
26-32 (March 2001)Abstract
Screw Theory is used to provide mathematical models of assembly features,
allowing the determination of positioning constraints imposed on
one part in an assembly by another part based on the geometry of
the features that join them. Several feature types have been modeled,
and it is easy to model new ones. A user of this theory is able to
combine members of this set to join two parts and the determine whether
or not the defined features set over-, under-, or fully-constrains
the location and orientation of the part. The ability to calculate
the state of constraints of parts in an assembly is useful in supporting
quantitative design of properly constrained assemblies in CAD systems.
Locational over-constraint of parts can lead to assemble ability
problems or require deformation of parts in order to complete the
assembly.
Description
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